From bc475d26579e9ce074b8b54e5968cd699179f452 Mon Sep 17 00:00:00 2001 From: acasta-yhliu Date: Mon, 9 Feb 2026 16:31:32 -0500 Subject: [PATCH 01/71] [update] integrate alphasyndrome, initial version, without test --- main.py | 9 + src/qldpc/circuits/alphasyndrome.py | 392 ++ src/qldpc/circuits/syndrome_measurement.py | 1 - uv.lock | 4625 ++++++++++++++++++++ 4 files changed, 5026 insertions(+), 1 deletion(-) create mode 100644 main.py create mode 100644 src/qldpc/circuits/alphasyndrome.py create mode 100644 uv.lock diff --git a/main.py b/main.py new file mode 100644 index 000000000..32d8510f1 --- /dev/null +++ b/main.py @@ -0,0 +1,9 @@ +from qldpc.circuits.alphasyndrome import AlphaSyndrome +from qldpc.circuits.noise_model import DepolarizingNoiseModel +from qldpc.codes.quantum import SurfaceCode + +alphasyndrome = AlphaSyndrome(DepolarizingNoiseModel(0.005, include_idling_error=True), "pymatching") + +circuit, _ = alphasyndrome.get_circuit(SurfaceCode(3, 3)) + +print(circuit) diff --git a/src/qldpc/circuits/alphasyndrome.py b/src/qldpc/circuits/alphasyndrome.py new file mode 100644 index 000000000..2b4714f3a --- /dev/null +++ b/src/qldpc/circuits/alphasyndrome.py @@ -0,0 +1,392 @@ +"""Classes to define syndrome measurement strategies + +Copyright 2023 The qLDPC Authors and Infleqtion Inc. + +Licensed under the Apache License, Version 2.0 (the "License"); +you may not use this file except in compliance with the License. +You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + +Unless required by applicable law or agreed to in writing, software +distributed under the License is distributed on an "AS IS" BASIS, +WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +See the License for the specific language governing permissions and +limitations under the License. +""" + +from __future__ import annotations + +import itertools +import math +import random +from dataclasses import dataclass + +import numpy as np +import sinter +import stim +import tqdm + +from qldpc import codes +from qldpc.circuits.syndrome_measurement import SyndromeMeasurementStrategy +from qldpc.objects import Node, Pauli, PauliXZ + +from .bookkeeping import MeasurementRecord, QubitIDs +from .common import restrict_to_qubits +from .noise_model import NoiseModel + + +@dataclass(slots=True) +class TreeState: + schedule: np.ndarray + maxticks: np.ndarray + + @staticmethod + def initial_state(nchecks: int, nqubits: int): + return TreeState(np.repeat(-1, nchecks), np.repeat(-1, nqubits)) + + def shift(self, checks: list[tuple[int, int]], meas_index: int): + chk = checks[meas_index] + new_tick = max(self.maxticks[chk[0]], self.maxticks[chk[1]]) + 1 + + new_schedule = self.schedule.copy() + new_maxticks = self.maxticks.copy() + + new_maxticks[chk[0]] = new_tick + new_maxticks[chk[1]] = new_tick + new_schedule[meas_index] = new_tick + + return TreeState(new_schedule, new_maxticks) + + def transitions(self) -> list[int]: + states = [] + for meas_index, tick in enumerate(self.schedule): + if tick == -1: # unmeasured syndrome measurement + states.append(meas_index) + return states + + def is_terminal(self) -> bool: + return min(self.schedule) != -1 + + +class TreeNode: + def __init__(self, state: TreeState, parent: "TreeNode | None" = None): + self.state = state + + self.parent = parent + self.children: list["TreeNode"] = [] + + self.visits = 0 + self.value = 0.0 + + self.unvisited = state.transitions() + + def is_fully_expanded(self): + return len(self.unvisited) == 0 + + def is_terminal(self): + return self.state.is_terminal() + + def expand(self, checks: list[tuple[int, int]]): + next_state = self.state.shift(checks, self.unvisited.pop()) + child_node = TreeNode(next_state, parent=self) + self.children.append(child_node) + return child_node + + def best_child(self, exploration_weight=1.4): + def ucb_score(child): + if child.visits == 0: + return float("inf") + return child.value / child.visits + exploration_weight * math.sqrt( + math.log(self.visits) / child.visits + ) + + return max(self.children, key=ucb_score) + + def backpropagate(self, result): + self.visits += 1 + self.value += result + if self.parent: + self.parent.backpropagate(result) + + def simulate_schedule(self, checks: list[tuple[int, int]]): + current_state = self.state + while not current_state.is_terminal(): + current_state = current_state.shift(checks, random.choice(current_state.transitions())) + return current_state.schedule + + def root(self): + if self.parent is None: + return self + else: + return self.parent.root() + + +def measure_as_product(circuit, pauli_targets): + combined_targets = [] + for i, target in enumerate(pauli_targets): + combined_targets.append(target) + # Add a combiner between every target, but not after the last one + if i < len(pauli_targets) - 1: + combined_targets.append(stim.target_combiner()) + + circuit.append_operation("MPP", combined_targets) + + +class WrapCSS: + def __init__(self, code: codes.CSSCode, subgraph_kwargs) -> None: + syndrome_graphs = code.get_syndrome_subgraphs(**subgraph_kwargs) + + self.code = code + + self.x_checks: list[tuple[int, int]] = [] + self.z_checks: list[tuple[int, int]] = [] + + for subgraph in syndrome_graphs: + for edge in subgraph.edges: + data_node, check_node = sorted(edge) + pauli = subgraph[check_node][data_node][Pauli] # type: ignore + if pauli == Pauli.X: + self.x_checks.append((data_node.index, check_node.index + self.num_qubits)) + elif pauli == Pauli.Z: + self.z_checks.append((data_node.index, check_node.index + self.num_qubits)) + else: + assert False, "Unknown Pauli check for CSS code" + + self.all_checks = self.x_checks + self.z_checks + + def checks(self, basis: Pauli): + if basis == Pauli.X: + return self.x_checks + elif basis == Pauli.Z: + return self.z_checks + else: + assert False, "Unknown Pauli check for CSS code" + + @property + def num_qubits(self): + return self.code.num_qubits + + @property + def num_ancillas(self): + return self.code.num_checks + + def _measure_observable(self, circuit: stim.Circuit, basis: PauliXZ): + num_observables = self.code.dimension + logical_ops = self.code.get_logical_ops(basis, symplectic=True) + logical_op_graph = codes.QuditCode.matrix_to_graph(logical_ops) + + for node_index in range(num_observables): + observable_node = Node(node_index, is_data=False) + targets = [ + stim.target_pauli(data_node.index, str(edge_data[Pauli])) + for _, data_node, edge_data in logical_op_graph.edges(observable_node, data=True) + ] + measure_as_product(circuit, targets) + circuit.append("TICK", []) + + return self.code.dimension + + def _measure_stabilizers(self, circuit: stim.Circuit, basis: PauliXZ): + num_stabilizers = self.code.num_checks_x if basis == Pauli.X else self.code.num_checks_z + stabilizer_ops = self.code.get_stabilizer_ops(basis, symplectic=True) + stabilizer_op_graph = codes.QuditCode.matrix_to_graph(stabilizer_ops) + + for node_index in range(num_stabilizers): + stabilizer_node = Node(node_index, is_data=False) + targets = [ + stim.target_pauli(data_node.index, str(edge_data[Pauli])) + for _, data_node, edge_data in stabilizer_op_graph.edges(stabilizer_node, data=True) + ] + measure_as_product(circuit, targets) + circuit.append("TICK", []) + + return num_stabilizers + + def _ideal_measurement(self, circuit: stim.Circuit, basis: PauliXZ): + num_stabilizers = self._measure_stabilizers(circuit, basis) + num_observables = self._measure_observable(circuit, basis) + + return num_stabilizers, num_observables + + def _syndrome_measurement(self, circuit: stim.Circuit, basis: Pauli, schedules: np.ndarray): + checks = self.checks(basis) + zipped_schedule = zip(checks, schedules) + sorted_schedule = sorted(zipped_schedule, key=lambda x: x[1]) + + for _, checks in itertools.groupby(sorted_schedule, key=lambda ct: ct[1]): + for chk, _ in checks: + if basis == Pauli.X: + circuit.append("H", chk[1]) + circuit.append("TICK", []) + circuit.append("CNOT", [chk[1], chk[0]]) + circuit.append("TICK", []) + circuit.append("H", chk[1]) + circuit.append("TICK", []) + else: + circuit.append("CNOT", [chk[0], chk[1]]) + circuit.append("TICK", []) + + def evaluation_circuit(self, basis: Pauli, schedule: np.ndarray): + oppsite_basis = Pauli.swap_xz(basis) + + circuit = stim.Circuit() + num_stabilizers, num_observables = self._ideal_measurement(circuit, oppsite_basis) + + self._syndrome_measurement(circuit, basis, schedule) + + self._ideal_measurement(circuit, oppsite_basis) + + for i in range(num_observables): + index = i + 1 + + circuit.append( + "OBSERVABLE_INCLUDE", + [ + stim.target_rec(-index), + stim.target_rec(-(index + num_stabilizers + num_observables)), + ], + i, + ) + + for i in range(num_stabilizers): + index = i + 1 + num_observables + + circuit.append( + "DETECTOR", + [ + stim.target_rec(-index), + stim.target_rec(-(index + num_stabilizers + num_observables)), + ], + i, + ) + + return circuit + + def measurement_circuit(self, x_ticks: np.ndarray, z_ticks: np.ndarray, qubit_ids: QubitIDs): + circuit = stim.Circuit() + circuit.append("RZ", qubit_ids.check) + + self._syndrome_measurement(circuit, Pauli.X, x_ticks) + self._syndrome_measurement(circuit, Pauli.Z, z_ticks) + + circuit.append("MZ", qubit_ids.check) + measurement_record = MeasurementRecord( + {qubit: [mm] for mm, qubit in enumerate(qubit_ids.check)} + ) + return circuit, measurement_record + + +class AlphaSyndrome(SyndromeMeasurementStrategy): + """AlphaSyndrome strategy for constructing a syndrome measurement circuit. + + Uses Monte-Carlo tree search to suppress hook error. For more information, find paper at + https://www.arxiv.org/abs/2601.12509. Right now, only scheduling for CSS codes is implemented. + + WARNING: This strategy is extremely SLOW due to unsolved problem with multiprocessing and MCTS + """ + + def __init__( + self, + noise_model: NoiseModel, + decoder: str, + custome_decoders=None, + iters_per_step: int = 8000, + shots_per_iter: int = 10000, + **subgraph_kwargs, + ) -> None: + """Initialize an EdgeColoringXZ syndrome measurement strategy. + + Args: + noise_model: The noise model append to the syndrome measurement circuit + iters_per_step: iterations per MCTS step, default is 8000 + shots_per_iter: number of sampling shots per iteration, default is 10000 + """ + + super().__init__() + + self.decoder = decoder + self.custom_decoders = custome_decoders + self.noise_model = noise_model + self.iters_per_step = iters_per_step + self.shots_per_iter = shots_per_iter + + self.subgraph_kwargs = subgraph_kwargs + + @restrict_to_qubits + def get_circuit( + self, code: codes.QuditCode, qubit_ids: QubitIDs | None = None + ) -> tuple[stim.Circuit, MeasurementRecord]: + """Construct a circuit to measure the syndromes of a quantum error-correcting code. + + Args: + codes.QuditCode: The code whose syndromes we want to measure. + circuits.QubitIDs: Integer indices for the data and check (syndrome readout) qubits. + Defaults to QubitIDs.from_code(code). + + Returns: + stim.Circuit: A syndrome measurement circuit. + circuits.MeasurementRecord: The record of measurements in the circuit. + """ + if not isinstance(code, codes.CSSCode): + raise ValueError( + "The AlphaSyndrome strategy for syndrome measurement only supports CSS codes" + ) + + qubit_ids = qubit_ids or QubitIDs.from_code(code) + + wrap_code = WrapCSS(code, self.subgraph_kwargs) + + x_ticks = self._schedule_check_basis(Pauli.X, wrap_code) + z_ticks = self._schedule_check_basis(Pauli.Z, wrap_code) + + return wrap_code.measurement_circuit(x_ticks, z_ticks, qubit_ids) + + def _schedule_step( + self, root: TreeNode, basis: Pauli, code: WrapCSS, checks: list[tuple[int, int]] + ): + print("scheduling single step") + iterations = max(0, self.iters_per_step - root.visits) + for _ in tqdm.tqdm(range(iterations)): + node = root + + while not node.is_terminal() and node.is_fully_expanded(): + node = node.best_child() + + if not node.is_terminal(): + node = node.expand(checks) + + schedule = node.simulate_schedule(checks) + + circuit = code.evaluation_circuit(basis, schedule) + + noisy_circuit = self.noise_model.noisy_circuit( + circuit, immune_qubits=range(code.num_qubits), insert_ticks=False + ) + + sampler = noisy_circuit.compile_detector_sampler() + + dets, observable_flips = sampler.sample(self.shots_per_iter, separate_observables=True) + + dem = noisy_circuit.detector_error_model( + decompose_errors=True, ignore_decomposition_failures=True + ) + + predictions = sinter.predict_observables( + dem=dem, dets=dets, decoder=self.decoder, custom_decoders=self.custom_decoders + ) + + result = np.sum(np.any(predictions != observable_flips, axis=1)) + + node.backpropagate(self.shots_per_iter / (result + 1)) + + return root.best_child(exploration_weight=0) + + def _schedule_check_basis(self, basis: Pauli, code: WrapCSS): + checks = code.checks(basis) + + node = TreeNode(TreeState.initial_state(len(checks), code.num_qubits + code.num_ancillas)) + + while not node.is_terminal(): + node = self._schedule_step(node, basis, code, checks) + return node.state.schedule diff --git a/src/qldpc/circuits/syndrome_measurement.py b/src/qldpc/circuits/syndrome_measurement.py index eb807d638..56731e2dc 100644 --- a/src/qldpc/circuits/syndrome_measurement.py +++ b/src/qldpc/circuits/syndrome_measurement.py @@ -92,7 +92,6 @@ def get_circuit( circuits.MeasurementRecord: The record of measurements in the circuit. 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alphasyndrome --- main.py | 9 - pyproject.toml | 2 +- src/qldpc/circuits/__init__.py | 2 + src/qldpc/circuits/alphasyndrome.py | 3 +- src/qldpc/circuits/alphasyndrome_test.py | 104 + uv.lock | 4625 ---------------------- 6 files changed, 108 insertions(+), 4637 deletions(-) delete mode 100644 main.py create mode 100644 src/qldpc/circuits/alphasyndrome_test.py delete mode 100644 uv.lock diff --git a/main.py b/main.py deleted file mode 100644 index 32d8510f1..000000000 --- a/main.py +++ /dev/null @@ -1,9 +0,0 @@ -from qldpc.circuits.alphasyndrome import AlphaSyndrome -from qldpc.circuits.noise_model import DepolarizingNoiseModel -from qldpc.codes.quantum import SurfaceCode - -alphasyndrome = AlphaSyndrome(DepolarizingNoiseModel(0.005, include_idling_error=True), "pymatching") - -circuit, _ = alphasyndrome.get_circuit(SurfaceCode(3, 3)) - -print(circuit) diff --git a/pyproject.toml b/pyproject.toml index 27b97bf72..a4c94d614 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -82,4 +82,4 @@ skip_covered = true exclude_lines = ["pragma: no cover", "if TYPE_CHECKING:"] [tool.coverage.run] -include = ["./*"] +include = ["./*"] \ No newline at end of file diff --git a/src/qldpc/circuits/__init__.py b/src/qldpc/circuits/__init__.py index 30b2b112c..837c6e648 100644 --- a/src/qldpc/circuits/__init__.py +++ b/src/qldpc/circuits/__init__.py @@ -1,3 +1,4 @@ +from .alphasyndrome import AlphaSyndrome from .bookkeeping import ( DetectorRecord, MeasurementRecord, @@ -61,6 +62,7 @@ "as_noiseless_circuit", "EdgeColoring", "EdgeColoringXZ", + "AlphaSyndrome", "SyndromeMeasurementStrategy", "get_transversal_automorphism_group", "get_transversal_circuit", diff --git a/src/qldpc/circuits/alphasyndrome.py b/src/qldpc/circuits/alphasyndrome.py index 2b4714f3a..2b0a79edc 100644 --- a/src/qldpc/circuits/alphasyndrome.py +++ b/src/qldpc/circuits/alphasyndrome.py @@ -345,9 +345,8 @@ def get_circuit( def _schedule_step( self, root: TreeNode, basis: Pauli, code: WrapCSS, checks: list[tuple[int, int]] ): - print("scheduling single step") iterations = max(0, self.iters_per_step - root.visits) - for _ in tqdm.tqdm(range(iterations)): + for _ in range(iterations): node = root while not node.is_terminal() and node.is_fully_expanded(): diff --git a/src/qldpc/circuits/alphasyndrome_test.py b/src/qldpc/circuits/alphasyndrome_test.py new file mode 100644 index 000000000..8f9dbd5e4 --- /dev/null +++ b/src/qldpc/circuits/alphasyndrome_test.py @@ -0,0 +1,104 @@ +"""Unit tests for syndrome_measurement.py + +Copyright 2023 The qLDPC Authors and Infleqtion Inc. + +Licensed under the Apache License, Version 2.0 (the "License"); +you may not use this file except in compliance with the License. +You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + +Unless required by applicable law or agreed to in writing, software +distributed under the License is distributed on an "AS IS" BASIS, +WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +See the License for the specific language governing permissions and +limitations under the License. +""" + +import random + +import numpy as np +import pytest +import sinter +import stim + +from qldpc import circuits, codes, math +from qldpc.objects import Pauli + + +class TrivialDecoder(sinter.Decoder): + def compile_decoder_for_dem(self, *, dem: "stim.DetectorErrorModel"): + return TrivialCompiledDecoder(shape=(dem.num_observables + 7) // 8) + + +class TrivialCompiledDecoder(sinter.CompiledDecoder): + def __init__(self, shape: int): + self.shape = shape + + def decode_shots_bit_packed( + self, + *, + bit_packed_detection_event_data: np.ndarray, + ) -> np.ndarray: + print("shots is", bit_packed_detection_event_data.shape[0]) + + return np.zeros( + shape=(bit_packed_detection_event_data.shape[0], self.shape), dtype=np.uint8 + ) + + +def test_alpha_syndrome(pytestconfig: pytest.Config) -> None: + """Verify that syndromes are read out correctly.""" + seed = pytestconfig.getoption("randomly_seed") + + # default strategies for non-CSS and CSS codes + assert_valid_alphasyndrome(codes.SteaneCode()) + + # special strategies for toric and surface codes + assert_valid_alphasyndrome(codes.ToricCode(2, rotated=True)) + assert_valid_alphasyndrome(codes.SurfaceCode(2, rotated=True)) + + # special strategy for HGPCodes + code_a = codes.ClassicalCode.random(5, 3, seed=seed) + code_b = codes.ClassicalCode.random(3, 2, seed=seed + 1) + assert_valid_alphasyndrome(codes.HGPCode(code_a, code_b)) + + # EdgeColoringXZ strategy + with pytest.raises(ValueError, match="only supports CSS codes"): + circuits.EdgeColoringXZ().get_circuit(codes.FiveQubitCode()) + + +def assert_valid_alphasyndrome( + code: codes.QuditCode, +) -> None: + strategy = circuits.AlphaSyndrome( + circuits.DepolarizingNoiseModel(0.001), + "trivial", + iters_per_step=2, + shots_per_iter=5, + custome_decoders={"trivial": TrivialDecoder()}, + ) + + """Assert that the syndrome measurement of the given code with the given strategy is valid.""" + # prepare a logical |0> state + state_prep = circuits.get_encoding_circuit(code) + + # apply random Pauli errors to the data qubits + errors = random.choices([Pauli.I, Pauli.X, Pauli.Y, Pauli.Z], k=len(code)) + error_ops = stim.Circuit() + for qubit, pauli in enumerate(errors): + error_ops.append(f"{pauli}_error", [qubit], [1]) + + # measure syndromes + syndrome_extraction, record = strategy.get_circuit(code) + for check in range(len(code), len(code) + code.num_checks): + syndrome_extraction.append("DETECTOR", record.get_target_rec(check)) + + # sample the circuit to obtain a syndrome vector + circuit = state_prep + error_ops + syndrome_extraction + syndrome = circuit.compile_detector_sampler().sample(1).ravel() + + # compare against the expected syndrome + error_xz = code.field([pauli.value for pauli in errors]).T.ravel() + expected_syndrome = code.matrix @ math.symplectic_conjugate(error_xz) + assert 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structure for syndrome measurement circuit --- src/qldpc/circuits/alphasyndrome.py | 31 ++++++++++++++++------------- 1 file changed, 17 insertions(+), 14 deletions(-) diff --git a/src/qldpc/circuits/alphasyndrome.py b/src/qldpc/circuits/alphasyndrome.py index 2b0a79edc..2d6fcca2d 100644 --- a/src/qldpc/circuits/alphasyndrome.py +++ b/src/qldpc/circuits/alphasyndrome.py @@ -209,23 +209,26 @@ def _ideal_measurement(self, circuit: stim.Circuit, basis: PauliXZ): return num_stabilizers, num_observables - def _syndrome_measurement(self, circuit: stim.Circuit, basis: Pauli, schedules: np.ndarray): + def _syndrome_measurement( + self, + circuit: stim.Circuit, + basis: Pauli, + schedules: np.ndarray, + qubit_ids: QubitIDs | None = None, + ): checks = self.checks(basis) zipped_schedule = zip(checks, schedules) sorted_schedule = sorted(zipped_schedule, key=lambda x: x[1]) for _, checks in itertools.groupby(sorted_schedule, key=lambda ct: ct[1]): for chk, _ in checks: - if basis == Pauli.X: - circuit.append("H", chk[1]) - circuit.append("TICK", []) - circuit.append("CNOT", [chk[1], chk[0]]) - circuit.append("TICK", []) - circuit.append("H", chk[1]) - circuit.append("TICK", []) + if qubit_ids: + data, ancilla = qubit_ids.data[chk[0]], qubit_ids.check[chk[1] - self.num_qubits] else: - circuit.append("CNOT", [chk[0], chk[1]]) - circuit.append("TICK", []) + data, ancilla = chk + + circuit.append(f"C{basis}", [ancilla, data]) + circuit.append("TICK", []) def evaluation_circuit(self, basis: Pauli, schedule: np.ndarray): oppsite_basis = Pauli.swap_xz(basis) @@ -265,12 +268,12 @@ def evaluation_circuit(self, basis: Pauli, schedule: np.ndarray): def measurement_circuit(self, x_ticks: np.ndarray, z_ticks: np.ndarray, qubit_ids: QubitIDs): circuit = stim.Circuit() - circuit.append("RZ", qubit_ids.check) + circuit.append("RX", qubit_ids.check) - self._syndrome_measurement(circuit, Pauli.X, x_ticks) - self._syndrome_measurement(circuit, Pauli.Z, z_ticks) + self._syndrome_measurement(circuit, Pauli.X, x_ticks, qubit_ids) + self._syndrome_measurement(circuit, Pauli.Z, z_ticks, qubit_ids) - circuit.append("MZ", qubit_ids.check) + circuit.append("MX", qubit_ids.check) measurement_record = MeasurementRecord( {qubit: [mm] for mm, qubit in enumerate(qubit_ids.check)} ) From d54ffbd4cc22b26be02623d1f71a245b6b450741 Mon Sep 17 00:00:00 2001 From: Yuhao Liu Date: Thu, 19 Feb 2026 15:12:38 -0500 Subject: [PATCH 04/71] Update docstring for AlphaSyndrome class --- src/qldpc/circuits/alphasyndrome.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/qldpc/circuits/alphasyndrome.py b/src/qldpc/circuits/alphasyndrome.py index 2d6fcca2d..ceec1c7dd 100644 --- a/src/qldpc/circuits/alphasyndrome.py +++ b/src/qldpc/circuits/alphasyndrome.py @@ -1,4 +1,4 @@ -"""Classes to define syndrome measurement strategies +"""Classes to define the AlphaSyndrome syndrome measurement strategies Copyright 2023 The qLDPC Authors and Infleqtion Inc. From 50e7ed7618212b9a37f239cdf02dd82b778968db Mon Sep 17 00:00:00 2001 From: Yuhao Liu Date: Thu, 19 Feb 2026 15:12:54 -0500 Subject: [PATCH 05/71] Update unit test file documentation for alphasyndrome --- src/qldpc/circuits/alphasyndrome_test.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/qldpc/circuits/alphasyndrome_test.py b/src/qldpc/circuits/alphasyndrome_test.py index 8f9dbd5e4..77a619577 100644 --- a/src/qldpc/circuits/alphasyndrome_test.py +++ b/src/qldpc/circuits/alphasyndrome_test.py @@ -1,4 +1,4 @@ -"""Unit tests for syndrome_measurement.py +"""Unit tests for alphasyndrome.py Copyright 2023 The qLDPC Authors and Infleqtion Inc. From 50895ba1a0f954159c79cd7a44c27b492a10a19d Mon Sep 17 00:00:00 2001 From: acasta-yhliu Date: Thu, 19 Feb 2026 15:49:51 -0500 Subject: [PATCH 06/71] [fix] fixed linting and testing coverage --- src/qldpc/circuits/alphasyndrome.py | 75 +- src/qldpc/circuits/alphasyndrome_test.py | 16 +- uv.lock | 4640 ++++++++++++++++++++++ 3 files changed, 4688 insertions(+), 43 deletions(-) create mode 100644 uv.lock diff --git a/src/qldpc/circuits/alphasyndrome.py b/src/qldpc/circuits/alphasyndrome.py index ceec1c7dd..75ca03a6e 100644 --- a/src/qldpc/circuits/alphasyndrome.py +++ b/src/qldpc/circuits/alphasyndrome.py @@ -21,11 +21,11 @@ import math import random from dataclasses import dataclass +from typing import Any import numpy as np import sinter import stim -import tqdm from qldpc import codes from qldpc.circuits.syndrome_measurement import SyndromeMeasurementStrategy @@ -42,10 +42,10 @@ class TreeState: maxticks: np.ndarray @staticmethod - def initial_state(nchecks: int, nqubits: int): + def initial_state(nchecks: int, nqubits: int) -> "TreeState": return TreeState(np.repeat(-1, nchecks), np.repeat(-1, nqubits)) - def shift(self, checks: list[tuple[int, int]], meas_index: int): + def shift(self, checks: list[tuple[int, int]], meas_index: int) -> "TreeState": chk = checks[meas_index] new_tick = max(self.maxticks[chk[0]], self.maxticks[chk[1]]) + 1 @@ -81,48 +81,42 @@ def __init__(self, state: TreeState, parent: "TreeNode | None" = None): self.unvisited = state.transitions() - def is_fully_expanded(self): + def is_fully_expanded(self) -> bool: return len(self.unvisited) == 0 - def is_terminal(self): + def is_terminal(self) -> bool: return self.state.is_terminal() - def expand(self, checks: list[tuple[int, int]]): + def expand(self, checks: list[tuple[int, int]]) -> "TreeNode": next_state = self.state.shift(checks, self.unvisited.pop()) child_node = TreeNode(next_state, parent=self) self.children.append(child_node) return child_node - def best_child(self, exploration_weight=1.4): - def ucb_score(child): + def best_child(self, exploration_weight: float = 1.4) -> "TreeNode": + def ucb_score(child: "TreeNode") -> float: if child.visits == 0: - return float("inf") + return float("inf") # pragma: no cover return child.value / child.visits + exploration_weight * math.sqrt( math.log(self.visits) / child.visits ) return max(self.children, key=ucb_score) - def backpropagate(self, result): + def backpropagate(self, result: float) -> None: self.visits += 1 self.value += result if self.parent: self.parent.backpropagate(result) - def simulate_schedule(self, checks: list[tuple[int, int]]): + def simulate_schedule(self, checks: list[tuple[int, int]]) -> np.ndarray: current_state = self.state while not current_state.is_terminal(): current_state = current_state.shift(checks, random.choice(current_state.transitions())) return current_state.schedule - def root(self): - if self.parent is None: - return self - else: - return self.parent.root() - -def measure_as_product(circuit, pauli_targets): +def measure_as_product(circuit: stim.Circuit, pauli_targets: list[stim.GateTarget]) -> None: combined_targets = [] for i, target in enumerate(pauli_targets): combined_targets.append(target) @@ -134,7 +128,7 @@ def measure_as_product(circuit, pauli_targets): class WrapCSS: - def __init__(self, code: codes.CSSCode, subgraph_kwargs) -> None: + def __init__(self, code: codes.CSSCode, subgraph_kwargs: Any) -> None: syndrome_graphs = code.get_syndrome_subgraphs(**subgraph_kwargs) self.code = code @@ -145,33 +139,33 @@ def __init__(self, code: codes.CSSCode, subgraph_kwargs) -> None: for subgraph in syndrome_graphs: for edge in subgraph.edges: data_node, check_node = sorted(edge) - pauli = subgraph[check_node][data_node][Pauli] # type: ignore + pauli: Pauli = subgraph[check_node][data_node][Pauli] if pauli == Pauli.X: self.x_checks.append((data_node.index, check_node.index + self.num_qubits)) elif pauli == Pauli.Z: self.z_checks.append((data_node.index, check_node.index + self.num_qubits)) else: - assert False, "Unknown Pauli check for CSS code" + assert False, "Unknown Pauli check for CSS code" # pragma: no cover self.all_checks = self.x_checks + self.z_checks - def checks(self, basis: Pauli): + def checks(self, basis: Pauli) -> list[tuple[int, int]]: if basis == Pauli.X: return self.x_checks elif basis == Pauli.Z: return self.z_checks else: - assert False, "Unknown Pauli check for CSS code" + assert False, "Unknown Pauli check for CSS code" # pragma: no cover @property - def num_qubits(self): + def num_qubits(self) -> int: return self.code.num_qubits @property - def num_ancillas(self): + def num_ancillas(self) -> int: return self.code.num_checks - def _measure_observable(self, circuit: stim.Circuit, basis: PauliXZ): + def _measure_observable(self, circuit: stim.Circuit, basis: PauliXZ) -> int: num_observables = self.code.dimension logical_ops = self.code.get_logical_ops(basis, symplectic=True) logical_op_graph = codes.QuditCode.matrix_to_graph(logical_ops) @@ -187,7 +181,7 @@ def _measure_observable(self, circuit: stim.Circuit, basis: PauliXZ): return self.code.dimension - def _measure_stabilizers(self, circuit: stim.Circuit, basis: PauliXZ): + def _measure_stabilizers(self, circuit: stim.Circuit, basis: PauliXZ) -> int: num_stabilizers = self.code.num_checks_x if basis == Pauli.X else self.code.num_checks_z stabilizer_ops = self.code.get_stabilizer_ops(basis, symplectic=True) stabilizer_op_graph = codes.QuditCode.matrix_to_graph(stabilizer_ops) @@ -203,7 +197,7 @@ def _measure_stabilizers(self, circuit: stim.Circuit, basis: PauliXZ): return num_stabilizers - def _ideal_measurement(self, circuit: stim.Circuit, basis: PauliXZ): + def _ideal_measurement(self, circuit: stim.Circuit, basis: PauliXZ) -> tuple[int, int]: num_stabilizers = self._measure_stabilizers(circuit, basis) num_observables = self._measure_observable(circuit, basis) @@ -215,22 +209,25 @@ def _syndrome_measurement( basis: Pauli, schedules: np.ndarray, qubit_ids: QubitIDs | None = None, - ): - checks = self.checks(basis) - zipped_schedule = zip(checks, schedules) + ) -> None: + checks_of_basis = self.checks(basis) + zipped_schedule = zip(checks_of_basis, schedules) sorted_schedule = sorted(zipped_schedule, key=lambda x: x[1]) for _, checks in itertools.groupby(sorted_schedule, key=lambda ct: ct[1]): for chk, _ in checks: if qubit_ids: - data, ancilla = qubit_ids.data[chk[0]], qubit_ids.check[chk[1] - self.num_qubits] + data, ancilla = ( + qubit_ids.data[chk[0]], + qubit_ids.check[chk[1] - self.num_qubits], + ) else: data, ancilla = chk circuit.append(f"C{basis}", [ancilla, data]) circuit.append("TICK", []) - def evaluation_circuit(self, basis: Pauli, schedule: np.ndarray): + def evaluation_circuit(self, basis: Pauli, schedule: np.ndarray) -> stim.Circuit: oppsite_basis = Pauli.swap_xz(basis) circuit = stim.Circuit() @@ -266,7 +263,9 @@ def evaluation_circuit(self, basis: Pauli, schedule: np.ndarray): return circuit - def measurement_circuit(self, x_ticks: np.ndarray, z_ticks: np.ndarray, qubit_ids: QubitIDs): + def measurement_circuit( + self, x_ticks: np.ndarray, z_ticks: np.ndarray, qubit_ids: QubitIDs + ) -> tuple[stim.Circuit, MeasurementRecord]: circuit = stim.Circuit() circuit.append("RX", qubit_ids.check) @@ -293,10 +292,10 @@ def __init__( self, noise_model: NoiseModel, decoder: str, - custome_decoders=None, + custome_decoders: dict[str, sinter.Decoder] | None = None, iters_per_step: int = 8000, shots_per_iter: int = 10000, - **subgraph_kwargs, + **subgraph_kwargs: Any, ) -> None: """Initialize an EdgeColoringXZ syndrome measurement strategy. @@ -347,7 +346,7 @@ def get_circuit( def _schedule_step( self, root: TreeNode, basis: Pauli, code: WrapCSS, checks: list[tuple[int, int]] - ): + ) -> TreeNode: iterations = max(0, self.iters_per_step - root.visits) for _ in range(iterations): node = root @@ -384,7 +383,7 @@ def _schedule_step( return root.best_child(exploration_weight=0) - def _schedule_check_basis(self, basis: Pauli, code: WrapCSS): + def _schedule_check_basis(self, basis: Pauli, code: WrapCSS) -> np.ndarray: checks = code.checks(basis) node = TreeNode(TreeState.initial_state(len(checks), code.num_qubits + code.num_ancillas)) diff --git a/src/qldpc/circuits/alphasyndrome_test.py b/src/qldpc/circuits/alphasyndrome_test.py index 77a619577..e126080b8 100644 --- a/src/qldpc/circuits/alphasyndrome_test.py +++ b/src/qldpc/circuits/alphasyndrome_test.py @@ -27,7 +27,9 @@ class TrivialDecoder(sinter.Decoder): - def compile_decoder_for_dem(self, *, dem: "stim.DetectorErrorModel"): + def compile_decoder_for_dem( + self, *, dem: "stim.DetectorErrorModel" + ) -> "TrivialCompiledDecoder": return TrivialCompiledDecoder(shape=(dem.num_observables + 7) // 8) @@ -40,8 +42,6 @@ def decode_shots_bit_packed( *, bit_packed_detection_event_data: np.ndarray, ) -> np.ndarray: - print("shots is", bit_packed_detection_event_data.shape[0]) 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Perlin" Date: Mon, 16 Mar 2026 20:18:17 -0400 Subject: [PATCH 08/71] undo off-target diffs --- pyproject.toml | 2 +- src/qldpc/circuits/syndrome_measurement.py | 1 + 2 files changed, 2 insertions(+), 1 deletion(-) diff --git a/pyproject.toml b/pyproject.toml index 1587a1625..9419f38a0 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -84,4 +84,4 @@ skip_covered = true exclude_lines = ["pragma: no cover", "if TYPE_CHECKING:"] [tool.coverage.run] -include = ["./*"] \ No newline at end of file +include = ["./*"] diff --git a/src/qldpc/circuits/syndrome_measurement.py b/src/qldpc/circuits/syndrome_measurement.py index 9df743196..835f2aef7 100644 --- a/src/qldpc/circuits/syndrome_measurement.py +++ b/src/qldpc/circuits/syndrome_measurement.py @@ -92,6 +92,7 @@ def get_circuit( circuits.MeasurementRecord: The record of measurements in the circuit. """ subgraphs = code.get_syndrome_subgraphs(**self.subgraph_kwargs) # type:ignore[arg-type] + qubit_ids = qubit_ids or QubitIDs.from_code(code) circuit = stim.Circuit() circuit.append("RX", qubit_ids.check) From bfeab2779b7321b4db445d4237bd65fd6d5a8113 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 18 Mar 2026 16:49:09 -0400 Subject: [PATCH 09/71] minor cleanup --- src/qldpc/circuits/__init__.py | 2 +- .../{alphasyndrome.py => alpha_syndrome.py} | 2 +- ...yndrome_test.py => alpha_syndrome_test.py} | 29 +++++++++---------- 3 files changed, 16 insertions(+), 17 deletions(-) rename src/qldpc/circuits/{alphasyndrome.py => alpha_syndrome.py} (99%) rename src/qldpc/circuits/{alphasyndrome_test.py => alpha_syndrome_test.py} (82%) diff --git a/src/qldpc/circuits/__init__.py b/src/qldpc/circuits/__init__.py index 837c6e648..a4e82fd3b 100644 --- a/src/qldpc/circuits/__init__.py +++ b/src/qldpc/circuits/__init__.py @@ -1,4 +1,4 @@ -from .alphasyndrome import AlphaSyndrome +from .alpha_syndrome import AlphaSyndrome from .bookkeeping import ( DetectorRecord, MeasurementRecord, diff --git a/src/qldpc/circuits/alphasyndrome.py b/src/qldpc/circuits/alpha_syndrome.py similarity index 99% rename from src/qldpc/circuits/alphasyndrome.py rename to src/qldpc/circuits/alpha_syndrome.py index 75ca03a6e..1f2e61d33 100644 --- a/src/qldpc/circuits/alphasyndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -28,12 +28,12 @@ import stim from qldpc import codes -from qldpc.circuits.syndrome_measurement import SyndromeMeasurementStrategy from qldpc.objects import Node, Pauli, PauliXZ from .bookkeeping import MeasurementRecord, QubitIDs from .common import restrict_to_qubits from .noise_model import NoiseModel +from .syndrome_measurement import SyndromeMeasurementStrategy @dataclass(slots=True) diff --git a/src/qldpc/circuits/alphasyndrome_test.py b/src/qldpc/circuits/alpha_syndrome_test.py similarity index 82% rename from src/qldpc/circuits/alphasyndrome_test.py rename to src/qldpc/circuits/alpha_syndrome_test.py index e126080b8..acf16b41b 100644 --- a/src/qldpc/circuits/alphasyndrome_test.py +++ b/src/qldpc/circuits/alpha_syndrome_test.py @@ -1,4 +1,4 @@ -"""Unit tests for alphasyndrome.py +"""Unit tests for alpha_syndrome.py Copyright 2023 The qLDPC Authors and Infleqtion Inc. @@ -15,6 +15,8 @@ limitations under the License. """ +from __future__ import annotations + import random import numpy as np @@ -27,9 +29,7 @@ class TrivialDecoder(sinter.Decoder): - def compile_decoder_for_dem( - self, *, dem: "stim.DetectorErrorModel" - ) -> "TrivialCompiledDecoder": + def compile_decoder_for_dem(self, *, dem: stim.DetectorErrorModel) -> TrivialCompiledDecoder: return TrivialCompiledDecoder(shape=(dem.num_observables + 7) // 8) @@ -52,16 +52,16 @@ def test_alpha_syndrome(pytestconfig: pytest.Config) -> None: seed = pytestconfig.getoption("randomly_seed") # default strategies for non-CSS and CSS codes - assert_valid_alphasyndrome(codes.SteaneCode()) + assert alpha_syndrome_is_valid(codes.SteaneCode()) # special strategies for toric and surface codes - assert_valid_alphasyndrome(codes.ToricCode(2, rotated=True)) - assert_valid_alphasyndrome(codes.SurfaceCode(2, rotated=True)) + assert alpha_syndrome_is_valid(codes.ToricCode(2, rotated=True)) + assert alpha_syndrome_is_valid(codes.SurfaceCode(2, rotated=True)) # special strategy for HGPCodes code_a = codes.ClassicalCode.random(5, 3, seed=seed) code_b = codes.ClassicalCode.random(3, 2, seed=seed + 1) - assert_valid_alphasyndrome(codes.HGPCode(code_a, code_b)) + assert alpha_syndrome_is_valid(codes.HGPCode(code_a, code_b)) # EdgeColoringXZ strategy with pytest.raises(ValueError, match="only supports CSS codes"): @@ -74,18 +74,17 @@ def test_alpha_syndrome(pytestconfig: pytest.Config) -> None: ).get_circuit(codes.FiveQubitCode()) -def assert_valid_alphasyndrome( +def alpha_syndrome_is_valid( code: codes.QuditCode, -) -> None: - strategy = circuits.AlphaSyndrome( + strategy: circuits.AlphaSyndrome = circuits.AlphaSyndrome( circuits.DepolarizingNoiseModel(0.001), "trivial", iters_per_step=5, shots_per_iter=5, custome_decoders={"trivial": TrivialDecoder()}, - ) - - """Assert that the syndrome measurement of the given code with the given strategy is valid.""" + ), +) -> bool: + """Check the validity of AlphaSyndrome for a given code.""" # prepare a logical |0> state state_prep = circuits.get_encoding_circuit(code) @@ -107,4 +106,4 @@ def assert_valid_alphasyndrome( # compare against the expected syndrome error_xz = code.field([pauli.value for pauli in errors]).T.ravel() expected_syndrome = code.matrix @ math.symplectic_conjugate(error_xz) - assert np.array_equal(expected_syndrome, syndrome) + return np.array_equal(expected_syndrome, syndrome) From 57511ec89ad025d14c9ae0cb5d3cd6bedd1a1f23 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Tue, 24 Mar 2026 13:21:34 -0400 Subject: [PATCH 10/71] nit typing changes --- src/qldpc/circuits/alpha_syndrome.py | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 1f2e61d33..ca23b369b 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -42,10 +42,10 @@ class TreeState: maxticks: np.ndarray @staticmethod - def initial_state(nchecks: int, nqubits: int) -> "TreeState": + def initial_state(nchecks: int, nqubits: int) -> TreeState: return TreeState(np.repeat(-1, nchecks), np.repeat(-1, nqubits)) - def shift(self, checks: list[tuple[int, int]], meas_index: int) -> "TreeState": + def shift(self, checks: list[tuple[int, int]], meas_index: int) -> TreeState: chk = checks[meas_index] new_tick = max(self.maxticks[chk[0]], self.maxticks[chk[1]]) + 1 @@ -70,7 +70,7 @@ def is_terminal(self) -> bool: class TreeNode: - def __init__(self, state: TreeState, parent: "TreeNode | None" = None): + def __init__(self, state: TreeState, parent: TreeNode | None = None): self.state = state self.parent = parent @@ -87,14 +87,14 @@ def is_fully_expanded(self) -> bool: def is_terminal(self) -> bool: return self.state.is_terminal() - def expand(self, checks: list[tuple[int, int]]) -> "TreeNode": + def expand(self, checks: list[tuple[int, int]]) -> TreeNode: next_state = self.state.shift(checks, self.unvisited.pop()) child_node = TreeNode(next_state, parent=self) self.children.append(child_node) return child_node - def best_child(self, exploration_weight: float = 1.4) -> "TreeNode": - def ucb_score(child: "TreeNode") -> float: + def best_child(self, exploration_weight: float = 1.4) -> TreeNode: + def ucb_score(child: TreeNode) -> float: if child.visits == 0: return float("inf") # pragma: no cover return child.value / child.visits + exploration_weight * math.sqrt( From 5b86d52490fa414b20000663fbcc885c49dbdee9 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Tue, 24 Mar 2026 15:49:49 -0400 Subject: [PATCH 11/71] most-important-first code rearrangement --- src/qldpc/circuits/alpha_syndrome.py | 333 ++++++++++------------ src/qldpc/circuits/alpha_syndrome_test.py | 4 +- 2 files changed, 154 insertions(+), 183 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index ca23b369b..27ff94955 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -21,7 +21,6 @@ import math import random from dataclasses import dataclass -from typing import Any import numpy as np import sinter @@ -36,126 +35,124 @@ from .syndrome_measurement import SyndromeMeasurementStrategy -@dataclass(slots=True) -class TreeState: - schedule: np.ndarray - maxticks: np.ndarray - - @staticmethod - def initial_state(nchecks: int, nqubits: int) -> TreeState: - return TreeState(np.repeat(-1, nchecks), np.repeat(-1, nqubits)) - - def shift(self, checks: list[tuple[int, int]], meas_index: int) -> TreeState: - chk = checks[meas_index] - new_tick = max(self.maxticks[chk[0]], self.maxticks[chk[1]]) + 1 - - new_schedule = self.schedule.copy() - new_maxticks = self.maxticks.copy() - - new_maxticks[chk[0]] = new_tick - new_maxticks[chk[1]] = new_tick - new_schedule[meas_index] = new_tick - - return TreeState(new_schedule, new_maxticks) +class AlphaSyndrome(SyndromeMeasurementStrategy): + """AlphaSyndrome strategy for constructing a syndrome measurement circuit. - def transitions(self) -> list[int]: - states = [] - for meas_index, tick in enumerate(self.schedule): - if tick == -1: # unmeasured syndrome measurement - states.append(meas_index) - return states + Uses Monte-Carlo tree search (MCTS) to suppress hook errors. Currently only supports CSS codes. - def is_terminal(self) -> bool: - return min(self.schedule) != -1 + For more information, see the paper at https://www.arxiv.org/abs/2601.12509. + WARNING: This strategy is extremely SLOW due to unsolved problem with multiprocessing and MCTS. + """ -class TreeNode: - def __init__(self, state: TreeState, parent: TreeNode | None = None): - self.state = state + def __init__( + self, + noise_model: NoiseModel, + decoder: str, + custom_decoders: dict[str, sinter.Decoder] | None = None, + iters_per_step: int = 8000, + shots_per_iter: int = 10000, + ) -> None: + """Initialize an EdgeColoringXZ syndrome measurement strategy. - self.parent = parent - self.children: list["TreeNode"] = [] + Args: + noise_model: The noise model append to the syndrome measurement circuit + iters_per_step: iterations per MCTS step, default is 8000 + shots_per_iter: number of sampling shots per iteration, default is 10000 + """ + self.noise_model = noise_model + self.decoder = decoder + self.custom_decoders = custom_decoders + self.iters_per_step = iters_per_step + self.shots_per_iter = shots_per_iter - self.visits = 0 - self.value = 0.0 + @restrict_to_qubits + def get_circuit( + self, code: codes.QuditCode, qubit_ids: QubitIDs | None = None + ) -> tuple[stim.Circuit, MeasurementRecord]: + """Construct a circuit to measure the syndromes of a quantum error-correcting code. - self.unvisited = state.transitions() + Args: + codes.QuditCode: The code whose syndromes we want to measure. + circuits.QubitIDs: Integer indices for the data and check (syndrome readout) qubits. + Defaults to QubitIDs.from_code(code). - def is_fully_expanded(self) -> bool: - return len(self.unvisited) == 0 + Returns: + stim.Circuit: A syndrome measurement circuit. + circuits.MeasurementRecord: The record of measurements in the circuit. + """ + if not isinstance(code, codes.CSSCode): + raise ValueError( + "The AlphaSyndrome strategy for syndrome measurement only supports CSS codes" + ) + qubit_ids = qubit_ids or QubitIDs.from_code(code) + wrap_code = WrapCSS(code) + x_ticks = self._schedule_check_basis(Pauli.X, wrap_code) + z_ticks = self._schedule_check_basis(Pauli.Z, wrap_code) + return wrap_code.measurement_circuit(x_ticks, z_ticks, qubit_ids) - def is_terminal(self) -> bool: - return self.state.is_terminal() + def _schedule_check_basis(self, basis: PauliXZ, code: WrapCSS) -> np.ndarray: + checks = code.checks(basis) + node = TreeNode(TreeState.initial_state(len(checks), code.num_qubits + code.num_ancillas)) + while not node.is_terminal(): + node = self._schedule_step(node, basis, code, checks) + return node.state.schedule - def expand(self, checks: list[tuple[int, int]]) -> TreeNode: - next_state = self.state.shift(checks, self.unvisited.pop()) - child_node = TreeNode(next_state, parent=self) - self.children.append(child_node) - return child_node + def _schedule_step( + self, root: TreeNode, basis: PauliXZ, code: WrapCSS, checks: list[tuple[int, int]] + ) -> TreeNode: + iterations = max(0, self.iters_per_step - root.visits) + for _ in range(iterations): + node = root + while not node.is_terminal() and node.is_fully_expanded(): + node = node.best_child() + if not node.is_terminal(): + node = node.expand(checks) - def best_child(self, exploration_weight: float = 1.4) -> TreeNode: - def ucb_score(child: TreeNode) -> float: - if child.visits == 0: - return float("inf") # pragma: no cover - return child.value / child.visits + exploration_weight * math.sqrt( - math.log(self.visits) / child.visits + schedule = node.simulate_schedule(checks) + circuit = code.evaluation_circuit(basis, schedule) + noisy_circuit = self.noise_model.noisy_circuit( + circuit, immune_qubits=range(code.num_qubits), insert_ticks=False ) - return max(self.children, key=ucb_score) - - def backpropagate(self, result: float) -> None: - self.visits += 1 - self.value += result - if self.parent: - self.parent.backpropagate(result) - - def simulate_schedule(self, checks: list[tuple[int, int]]) -> np.ndarray: - current_state = self.state - while not current_state.is_terminal(): - current_state = current_state.shift(checks, random.choice(current_state.transitions())) - return current_state.schedule + sampler = noisy_circuit.compile_detector_sampler() + dets, observable_flips = sampler.sample(self.shots_per_iter, separate_observables=True) + dem = noisy_circuit.detector_error_model( + decompose_errors=True, ignore_decomposition_failures=True + ) + predictions = sinter.predict_observables( + dem=dem, dets=dets, decoder=self.decoder, custom_decoders=self.custom_decoders + ) + result = np.sum(np.any(predictions != observable_flips, axis=1)) -def measure_as_product(circuit: stim.Circuit, pauli_targets: list[stim.GateTarget]) -> None: - combined_targets = [] - for i, target in enumerate(pauli_targets): - combined_targets.append(target) - # Add a combiner between every target, but not after the last one - if i < len(pauli_targets) - 1: - combined_targets.append(stim.target_combiner()) + node.backpropagate(self.shots_per_iter / (result + 1)) - circuit.append_operation("MPP", combined_targets) + return root.best_child(exploration_weight=0) class WrapCSS: - def __init__(self, code: codes.CSSCode, subgraph_kwargs: Any) -> None: - syndrome_graphs = code.get_syndrome_subgraphs(**subgraph_kwargs) - + def __init__(self, code: codes.CSSCode) -> None: self.code = code - self.x_checks: list[tuple[int, int]] = [] self.z_checks: list[tuple[int, int]] = [] - for subgraph in syndrome_graphs: + for subgraph in code.get_syndrome_subgraphs(): for edge in subgraph.edges: data_node, check_node = sorted(edge) pauli: Pauli = subgraph[check_node][data_node][Pauli] if pauli == Pauli.X: self.x_checks.append((data_node.index, check_node.index + self.num_qubits)) - elif pauli == Pauli.Z: - self.z_checks.append((data_node.index, check_node.index + self.num_qubits)) else: - assert False, "Unknown Pauli check for CSS code" # pragma: no cover + assert pauli == Pauli.Z # this should never fail for a CSS code! + self.z_checks.append((data_node.index, check_node.index + self.num_qubits)) self.all_checks = self.x_checks + self.z_checks - def checks(self, basis: Pauli) -> list[tuple[int, int]]: + def checks(self, basis: PauliXZ) -> list[tuple[int, int]]: if basis == Pauli.X: return self.x_checks - elif basis == Pauli.Z: - return self.z_checks - else: - assert False, "Unknown Pauli check for CSS code" # pragma: no cover + return self.z_checks @property def num_qubits(self) -> int: @@ -206,7 +203,7 @@ def _ideal_measurement(self, circuit: stim.Circuit, basis: PauliXZ) -> tuple[int def _syndrome_measurement( self, circuit: stim.Circuit, - basis: Pauli, + basis: PauliXZ, schedules: np.ndarray, qubit_ids: QubitIDs | None = None, ) -> None: @@ -227,19 +224,17 @@ def _syndrome_measurement( circuit.append(f"C{basis}", [ancilla, data]) circuit.append("TICK", []) - def evaluation_circuit(self, basis: Pauli, schedule: np.ndarray) -> stim.Circuit: + def evaluation_circuit(self, basis: PauliXZ, schedule: np.ndarray) -> stim.Circuit: oppsite_basis = Pauli.swap_xz(basis) circuit = stim.Circuit() num_stabilizers, num_observables = self._ideal_measurement(circuit, oppsite_basis) self._syndrome_measurement(circuit, basis, schedule) - self._ideal_measurement(circuit, oppsite_basis) for i in range(num_observables): index = i + 1 - circuit.append( "OBSERVABLE_INCLUDE", [ @@ -251,7 +246,6 @@ def evaluation_circuit(self, basis: Pauli, schedule: np.ndarray) -> stim.Circuit for i in range(num_stabilizers): index = i + 1 + num_observables - circuit.append( "DETECTOR", [ @@ -279,115 +273,92 @@ def measurement_circuit( return circuit, measurement_record -class AlphaSyndrome(SyndromeMeasurementStrategy): - """AlphaSyndrome strategy for constructing a syndrome measurement circuit. - - Uses Monte-Carlo tree search to suppress hook error. For more information, find paper at - https://www.arxiv.org/abs/2601.12509. Right now, only scheduling for CSS codes is implemented. - - WARNING: This strategy is extremely SLOW due to unsolved problem with multiprocessing and MCTS - """ - - def __init__( - self, - noise_model: NoiseModel, - decoder: str, - custome_decoders: dict[str, sinter.Decoder] | None = None, - iters_per_step: int = 8000, - shots_per_iter: int = 10000, - **subgraph_kwargs: Any, - ) -> None: - """Initialize an EdgeColoringXZ syndrome measurement strategy. - - Args: - noise_model: The noise model append to the syndrome measurement circuit - iters_per_step: iterations per MCTS step, default is 8000 - shots_per_iter: number of sampling shots per iteration, default is 10000 - """ - - super().__init__() - - self.decoder = decoder - self.custom_decoders = custome_decoders - self.noise_model = noise_model - self.iters_per_step = iters_per_step - self.shots_per_iter = shots_per_iter - - self.subgraph_kwargs = subgraph_kwargs - - @restrict_to_qubits - def get_circuit( - self, code: codes.QuditCode, qubit_ids: QubitIDs | None = None - ) -> tuple[stim.Circuit, MeasurementRecord]: - """Construct a circuit to measure the syndromes of a quantum error-correcting code. +@dataclass(slots=True) +class TreeState: + schedule: np.ndarray + maxticks: np.ndarray - Args: - codes.QuditCode: The code whose syndromes we want to measure. - circuits.QubitIDs: Integer indices for the data and check (syndrome readout) qubits. - Defaults to QubitIDs.from_code(code). + @staticmethod + def initial_state(nchecks: int, nqubits: int) -> TreeState: + return TreeState(np.repeat(-1, nchecks), np.repeat(-1, nqubits)) - Returns: - stim.Circuit: A syndrome measurement circuit. - circuits.MeasurementRecord: The record of measurements in the circuit. - """ - if not isinstance(code, codes.CSSCode): - raise ValueError( - "The AlphaSyndrome strategy for syndrome measurement only supports CSS codes" - ) + def shift(self, checks: list[tuple[int, int]], meas_index: int) -> TreeState: + chk = checks[meas_index] + new_tick = max(self.maxticks[chk[0]], self.maxticks[chk[1]]) + 1 - qubit_ids = qubit_ids or QubitIDs.from_code(code) + new_schedule = self.schedule.copy() + new_maxticks = self.maxticks.copy() - wrap_code = WrapCSS(code, self.subgraph_kwargs) + new_maxticks[chk[0]] = new_tick + new_maxticks[chk[1]] = new_tick + new_schedule[meas_index] = new_tick - x_ticks = self._schedule_check_basis(Pauli.X, wrap_code) - z_ticks = self._schedule_check_basis(Pauli.Z, wrap_code) + return TreeState(new_schedule, new_maxticks) - return wrap_code.measurement_circuit(x_ticks, z_ticks, qubit_ids) + def transitions(self) -> list[int]: + states = [] + for meas_index, tick in enumerate(self.schedule): + if tick == -1: # unmeasured syndrome measurement + states.append(meas_index) + return states - def _schedule_step( - self, root: TreeNode, basis: Pauli, code: WrapCSS, checks: list[tuple[int, int]] - ) -> TreeNode: - iterations = max(0, self.iters_per_step - root.visits) - for _ in range(iterations): - node = root + def is_terminal(self) -> bool: + return min(self.schedule) != -1 - while not node.is_terminal() and node.is_fully_expanded(): - node = node.best_child() - if not node.is_terminal(): - node = node.expand(checks) +class TreeNode: + def __init__(self, state: TreeState, parent: TreeNode | None = None): + self.state = state - schedule = node.simulate_schedule(checks) + self.parent = parent + self.children: list["TreeNode"] = [] - circuit = code.evaluation_circuit(basis, schedule) + self.visits = 0 + self.value = 0.0 - noisy_circuit = self.noise_model.noisy_circuit( - circuit, immune_qubits=range(code.num_qubits), insert_ticks=False - ) + self.unvisited = state.transitions() - sampler = noisy_circuit.compile_detector_sampler() + def is_fully_expanded(self) -> bool: + return len(self.unvisited) == 0 - dets, observable_flips = sampler.sample(self.shots_per_iter, separate_observables=True) + def is_terminal(self) -> bool: + return self.state.is_terminal() - dem = noisy_circuit.detector_error_model( - decompose_errors=True, ignore_decomposition_failures=True - ) + def expand(self, checks: list[tuple[int, int]]) -> TreeNode: + next_state = self.state.shift(checks, self.unvisited.pop()) + child_node = TreeNode(next_state, parent=self) + self.children.append(child_node) + return child_node - predictions = sinter.predict_observables( - dem=dem, dets=dets, decoder=self.decoder, custom_decoders=self.custom_decoders + def best_child(self, exploration_weight: float = 1.4) -> TreeNode: + def ucb_score(child: TreeNode) -> float: + if child.visits == 0: + return float("inf") # pragma: no cover + return child.value / child.visits + exploration_weight * math.sqrt( + math.log(self.visits) / child.visits ) - result = np.sum(np.any(predictions != observable_flips, axis=1)) + return max(self.children, key=ucb_score) - node.backpropagate(self.shots_per_iter / (result + 1)) + def backpropagate(self, result: float) -> None: + self.visits += 1 + self.value += result + if self.parent: + self.parent.backpropagate(result) - return root.best_child(exploration_weight=0) + def simulate_schedule(self, checks: list[tuple[int, int]]) -> np.ndarray: + current_state = self.state + while not current_state.is_terminal(): + current_state = current_state.shift(checks, random.choice(current_state.transitions())) + return current_state.schedule - def _schedule_check_basis(self, basis: Pauli, code: WrapCSS) -> np.ndarray: - checks = code.checks(basis) - node = TreeNode(TreeState.initial_state(len(checks), code.num_qubits + code.num_ancillas)) +def measure_as_product(circuit: stim.Circuit, pauli_targets: list[stim.GateTarget]) -> None: + combined_targets = [] + for i, target in enumerate(pauli_targets): + combined_targets.append(target) + # Add a combiner between every target, but not after the last one + if i < len(pauli_targets) - 1: + combined_targets.append(stim.target_combiner()) - while not node.is_terminal(): - node = self._schedule_step(node, basis, code, checks) - return node.state.schedule + circuit.append_operation("MPP", combined_targets) diff --git a/src/qldpc/circuits/alpha_syndrome_test.py b/src/qldpc/circuits/alpha_syndrome_test.py index acf16b41b..ae62b2973 100644 --- a/src/qldpc/circuits/alpha_syndrome_test.py +++ b/src/qldpc/circuits/alpha_syndrome_test.py @@ -70,7 +70,7 @@ def test_alpha_syndrome(pytestconfig: pytest.Config) -> None: "trivial", iters_per_step=2, shots_per_iter=5, - custome_decoders={"trivial": TrivialDecoder()}, + custom_decoders={"trivial": TrivialDecoder()}, ).get_circuit(codes.FiveQubitCode()) @@ -81,7 +81,7 @@ def alpha_syndrome_is_valid( "trivial", iters_per_step=5, shots_per_iter=5, - custome_decoders={"trivial": TrivialDecoder()}, + custom_decoders={"trivial": TrivialDecoder()}, ), ) -> bool: """Check the validity of AlphaSyndrome for a given code.""" From caacf170463a4d705bcb9a98af5628e9cdda88cd Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Tue, 24 Mar 2026 16:01:55 -0400 Subject: [PATCH 12/71] Sequence --- src/qldpc/circuits/alpha_syndrome.py | 21 ++++++++++++--------- 1 file changed, 12 insertions(+), 9 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 27ff94955..e9bae5038 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -20,6 +20,7 @@ import itertools import math import random +from collections.abc import Sequence from dataclasses import dataclass import numpy as np @@ -57,6 +58,8 @@ def __init__( Args: noise_model: The noise model append to the syndrome measurement circuit + decoder: The decoder that Sinter should use to compute logical error rates. + custom_decoder: Custom decoders to pass Sinter, if applicable iters_per_step: iterations per MCTS step, default is 8000 shots_per_iter: number of sampling shots per iteration, default is 10000 """ @@ -99,7 +102,7 @@ def _schedule_check_basis(self, basis: PauliXZ, code: WrapCSS) -> np.ndarray: return node.state.schedule def _schedule_step( - self, root: TreeNode, basis: PauliXZ, code: WrapCSS, checks: list[tuple[int, int]] + self, root: TreeNode, basis: PauliXZ, code: WrapCSS, checks: Sequence[tuple[int, int]] ) -> TreeNode: iterations = max(0, self.iters_per_step - root.visits) for _ in range(iterations): @@ -282,15 +285,15 @@ class TreeState: def initial_state(nchecks: int, nqubits: int) -> TreeState: return TreeState(np.repeat(-1, nchecks), np.repeat(-1, nqubits)) - def shift(self, checks: list[tuple[int, int]], meas_index: int) -> TreeState: - chk = checks[meas_index] - new_tick = max(self.maxticks[chk[0]], self.maxticks[chk[1]]) + 1 + def shift(self, checks: Sequence[tuple[int, int]], meas_index: int) -> TreeState: + check = checks[meas_index] + new_tick = max(self.maxticks[check[0]], self.maxticks[check[1]]) + 1 new_schedule = self.schedule.copy() new_maxticks = self.maxticks.copy() - new_maxticks[chk[0]] = new_tick - new_maxticks[chk[1]] = new_tick + new_maxticks[check[0]] = new_tick + new_maxticks[check[1]] = new_tick new_schedule[meas_index] = new_tick return TreeState(new_schedule, new_maxticks) @@ -324,7 +327,7 @@ def is_fully_expanded(self) -> bool: def is_terminal(self) -> bool: return self.state.is_terminal() - def expand(self, checks: list[tuple[int, int]]) -> TreeNode: + def expand(self, checks: Sequence[tuple[int, int]]) -> TreeNode: next_state = self.state.shift(checks, self.unvisited.pop()) child_node = TreeNode(next_state, parent=self) self.children.append(child_node) @@ -346,14 +349,14 @@ def backpropagate(self, result: float) -> None: if self.parent: self.parent.backpropagate(result) - def simulate_schedule(self, checks: list[tuple[int, int]]) -> np.ndarray: + def simulate_schedule(self, checks: Sequence[tuple[int, int]]) -> np.ndarray: current_state = self.state while not current_state.is_terminal(): current_state = current_state.shift(checks, random.choice(current_state.transitions())) return current_state.schedule -def measure_as_product(circuit: stim.Circuit, pauli_targets: list[stim.GateTarget]) -> None: +def measure_as_product(circuit: stim.Circuit, pauli_targets: Sequence[stim.GateTarget]) -> None: combined_targets = [] for i, target in enumerate(pauli_targets): combined_targets.append(target) From 93349a64b11bbb5ca690b07fb0df62bfd7de806a Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Tue, 24 Mar 2026 16:17:13 -0400 Subject: [PATCH 13/71] use stim.target_combined_paulis --- src/qldpc/circuits/alpha_syndrome.py | 19 ++++--------------- 1 file changed, 4 insertions(+), 15 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index e9bae5038..f09366044 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -176,8 +176,8 @@ def _measure_observable(self, circuit: stim.Circuit, basis: PauliXZ) -> int: stim.target_pauli(data_node.index, str(edge_data[Pauli])) for _, data_node, edge_data in logical_op_graph.edges(observable_node, data=True) ] - measure_as_product(circuit, targets) - circuit.append("TICK", []) + circuit.append("MPP", stim.target_combined_paulis(targets)) + circuit.append("TICK") return self.code.dimension @@ -192,8 +192,8 @@ def _measure_stabilizers(self, circuit: stim.Circuit, basis: PauliXZ) -> int: stim.target_pauli(data_node.index, str(edge_data[Pauli])) for _, data_node, edge_data in stabilizer_op_graph.edges(stabilizer_node, data=True) ] - measure_as_product(circuit, targets) - circuit.append("TICK", []) + circuit.append("MPP", stim.target_combined_paulis(targets)) + circuit.append("TICK") return num_stabilizers @@ -354,14 +354,3 @@ def simulate_schedule(self, checks: Sequence[tuple[int, int]]) -> np.ndarray: while not current_state.is_terminal(): current_state = current_state.shift(checks, random.choice(current_state.transitions())) return current_state.schedule - - -def measure_as_product(circuit: stim.Circuit, pauli_targets: Sequence[stim.GateTarget]) -> None: - combined_targets = [] - for i, target in enumerate(pauli_targets): - combined_targets.append(target) - # Add a combiner between every target, but not after the last one - if i < len(pauli_targets) - 1: - combined_targets.append(stim.target_combiner()) - - circuit.append_operation("MPP", combined_targets) From 0bed93011bb76654d82e618d4c8d1236314e5d14 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Tue, 24 Mar 2026 17:09:39 -0400 Subject: [PATCH 14/71] simplify pauli product measurements --- src/qldpc/circuits/alpha_syndrome.py | 110 +++++++++++---------------- src/qldpc/codes/common.py | 5 ++ 2 files changed, 51 insertions(+), 64 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index f09366044..59cd64750 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -24,6 +24,7 @@ from dataclasses import dataclass import numpy as np +import numpy.typing as npt import sinter import stim @@ -113,7 +114,7 @@ def _schedule_step( node = node.expand(checks) schedule = node.simulate_schedule(checks) - circuit = code.evaluation_circuit(basis, schedule) + circuit = code.get_evaluation_circuit(basis, schedule) noisy_circuit = self.noise_model.noisy_circuit( circuit, immune_qubits=range(code.num_qubits), insert_ticks=False ) @@ -165,44 +166,6 @@ def num_qubits(self) -> int: def num_ancillas(self) -> int: return self.code.num_checks - def _measure_observable(self, circuit: stim.Circuit, basis: PauliXZ) -> int: - num_observables = self.code.dimension - logical_ops = self.code.get_logical_ops(basis, symplectic=True) - logical_op_graph = codes.QuditCode.matrix_to_graph(logical_ops) - - for node_index in range(num_observables): - observable_node = Node(node_index, is_data=False) - targets = [ - stim.target_pauli(data_node.index, str(edge_data[Pauli])) - for _, data_node, edge_data in logical_op_graph.edges(observable_node, data=True) - ] - circuit.append("MPP", stim.target_combined_paulis(targets)) - circuit.append("TICK") - - return self.code.dimension - - def _measure_stabilizers(self, circuit: stim.Circuit, basis: PauliXZ) -> int: - num_stabilizers = self.code.num_checks_x if basis == Pauli.X else self.code.num_checks_z - stabilizer_ops = self.code.get_stabilizer_ops(basis, symplectic=True) - stabilizer_op_graph = codes.QuditCode.matrix_to_graph(stabilizer_ops) - - for node_index in range(num_stabilizers): - stabilizer_node = Node(node_index, is_data=False) - targets = [ - stim.target_pauli(data_node.index, str(edge_data[Pauli])) - for _, data_node, edge_data in stabilizer_op_graph.edges(stabilizer_node, data=True) - ] - circuit.append("MPP", stim.target_combined_paulis(targets)) - circuit.append("TICK") - - return num_stabilizers - - def _ideal_measurement(self, circuit: stim.Circuit, basis: PauliXZ) -> tuple[int, int]: - num_stabilizers = self._measure_stabilizers(circuit, basis) - num_observables = self._measure_observable(circuit, basis) - - return num_stabilizers, num_observables - def _syndrome_measurement( self, circuit: stim.Circuit, @@ -215,47 +178,50 @@ def _syndrome_measurement( sorted_schedule = sorted(zipped_schedule, key=lambda x: x[1]) for _, checks in itertools.groupby(sorted_schedule, key=lambda ct: ct[1]): - for chk, _ in checks: + for check, _ in checks: if qubit_ids: data, ancilla = ( - qubit_ids.data[chk[0]], - qubit_ids.check[chk[1] - self.num_qubits], + qubit_ids.data[check[0]], + qubit_ids.check[check[1] - self.num_qubits], ) else: - data, ancilla = chk + data, ancilla = check circuit.append(f"C{basis}", [ancilla, data]) circuit.append("TICK", []) - def evaluation_circuit(self, basis: PauliXZ, schedule: np.ndarray) -> stim.Circuit: - oppsite_basis = Pauli.swap_xz(basis) + def get_evaluation_circuit(self, basis: PauliXZ, schedule: np.ndarray) -> stim.Circuit: + + # stabilizers and logical operators in the opposite basis + opposite_basis = Pauli.swap_xz(basis) + stabilizers = self.code.get_stabilizer_ops(opposite_basis, symplectic=True) + logical_ops = self.code.get_logical_ops(opposite_basis, symplectic=True) circuit = stim.Circuit() - num_stabilizers, num_observables = self._ideal_measurement(circuit, oppsite_basis) + circuit += _get_pauli_product_measurements(stabilizers) + circuit += _get_pauli_product_measurements(logical_ops) self._syndrome_measurement(circuit, basis, schedule) - self._ideal_measurement(circuit, oppsite_basis) - for i in range(num_observables): - index = i + 1 - circuit.append( - "OBSERVABLE_INCLUDE", - [ - stim.target_rec(-index), - stim.target_rec(-(index + num_stabilizers + num_observables)), - ], - i, - ) + circuit += _get_pauli_product_measurements(stabilizers) + circuit += _get_pauli_product_measurements(logical_ops) - for i in range(num_stabilizers): - index = i + 1 + num_observables + num_stabilizers = self.code.get_num_checks(opposite_basis) + num_observables = self.code.dimension + measurement_offset = num_stabilizers + num_observables + for ii in range(num_stabilizers): + index = ii + 1 + num_observables circuit.append( "DETECTOR", - [ - stim.target_rec(-index), - stim.target_rec(-(index + num_stabilizers + num_observables)), - ], - i, + [stim.target_rec(-index), stim.target_rec(-index - measurement_offset)], + ii, + ) + for ii in range(num_observables): + index = ii + 1 + circuit.append( + "OBSERVABLE_INCLUDE", + [stim.target_rec(-index), stim.target_rec(-index - measurement_offset)], + ii, ) return circuit @@ -354,3 +320,19 @@ def simulate_schedule(self, checks: Sequence[tuple[int, int]]) -> np.ndarray: while not current_state.is_terminal(): current_state = current_state.shift(checks, random.choice(current_state.transitions())) return current_state.schedule + + +def _get_pauli_product_measurements(op_matrix: npt.NDArray[np.int_]) -> stim.Circuit: + op_graph = codes.QuditCode.matrix_to_graph(op_matrix) + + circuit = stim.Circuit() + for node_index in range(len(op_matrix)): + observable_node = Node(node_index, is_data=False) + targets = [ + stim.target_pauli(data_node.index, str(edge_data[Pauli])) + for _, data_node, edge_data in op_graph.edges(observable_node, data=True) + ] + circuit.append("MPP", stim.target_combined_paulis(targets)) + circuit.append("TICK") + + return circuit diff --git a/src/qldpc/codes/common.py b/src/qldpc/codes/common.py index 12c4690e5..2225012a9 100644 --- a/src/qldpc/codes/common.py +++ b/src/qldpc/codes/common.py @@ -2187,6 +2187,11 @@ def num_checks_z(self) -> int: """Number of Z-type parity checks in this code.""" return self.matrix_z.shape[0] + def get_num_checks(self, pauli: PauliXZ) -> galois.FieldArray: + """Number of parity checks of a given type in this code.""" + assert pauli in PAULIS_XZ + return self.num_checks_x if pauli is Pauli.X else self.num_checks_z + @property def num_checks(self) -> int: """Number of parity checks in this code.""" From 157c14ecfc194daf182acb44478f8d864ad8f919 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Tue, 24 Mar 2026 20:54:00 -0400 Subject: [PATCH 15/71] clean up and refactoring --- src/qldpc/circuits/alpha_syndrome.py | 170 ++++++++++----------------- src/qldpc/codes/common.py | 4 +- 2 files changed, 65 insertions(+), 109 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 59cd64750..092e91c26 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -90,20 +90,43 @@ def get_circuit( "The AlphaSyndrome strategy for syndrome measurement only supports CSS codes" ) qubit_ids = qubit_ids or QubitIDs.from_code(code) - wrap_code = WrapCSS(code) - x_ticks = self._schedule_check_basis(Pauli.X, wrap_code) - z_ticks = self._schedule_check_basis(Pauli.Z, wrap_code) - return wrap_code.measurement_circuit(x_ticks, z_ticks, qubit_ids) - - def _schedule_check_basis(self, basis: PauliXZ, code: WrapCSS) -> np.ndarray: - checks = code.checks(basis) - node = TreeNode(TreeState.initial_state(len(checks), code.num_qubits + code.num_ancillas)) + x_ticks = self._get_schedule(code, Pauli.X) + z_ticks = self._get_schedule(code, Pauli.Z) + + circuit = stim.Circuit() + circuit.append("RX", qubit_ids.check) + circuit += self._get_scheduled_circuit_for_basis(code, Pauli.X, x_ticks) + circuit += self._get_scheduled_circuit_for_basis(code, Pauli.Z, z_ticks) + circuit.append("MX", qubit_ids.check) + + record = MeasurementRecord({qubit: [mm] for mm, qubit in enumerate(qubit_ids.check)}) + return circuit, record + + @staticmethod + def _get_scheduled_circuit_for_basis( + code: codes.CSSCode, basis: PauliXZ, schedule: Sequence[int] + ) -> stim.Circuit: + checks_of_basis = _get_checks(code, basis) + zipped_schedule = zip(checks_of_basis, schedule) + sorted_schedule = sorted(zipped_schedule, key=lambda x: x[1]) + + circuit = stim.Circuit() + for _, checks in itertools.groupby(sorted_schedule, key=lambda ct: ct[1]): + for (data, ancilla), _ in checks: + circuit.append(f"C{basis}", [ancilla, data]) + circuit.append("TICK", []) + + return circuit + + def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> list[int]: + checks = _get_checks(code, basis) + node = TreeNode(TreeState.initial_state(len(checks), code.num_qubits + code.num_checks)) while not node.is_terminal(): - node = self._schedule_step(node, basis, code, checks) + node = self._schedule_step(code, basis, node, checks) return node.state.schedule def _schedule_step( - self, root: TreeNode, basis: PauliXZ, code: WrapCSS, checks: Sequence[tuple[int, int]] + self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode, checks: Sequence[tuple[int, int]] ) -> TreeNode: iterations = max(0, self.iters_per_step - root.visits) for _ in range(iterations): @@ -114,7 +137,7 @@ def _schedule_step( node = node.expand(checks) schedule = node.simulate_schedule(checks) - circuit = code.get_evaluation_circuit(basis, schedule) + circuit = self._get_evaluation_circuit(code, basis, schedule) noisy_circuit = self.noise_model.noisy_circuit( circuit, immune_qubits=range(code.num_qubits), insert_ticks=False ) @@ -129,127 +152,55 @@ def _schedule_step( dem=dem, dets=dets, decoder=self.decoder, custom_decoders=self.custom_decoders ) result = np.sum(np.any(predictions != observable_flips, axis=1)) - node.backpropagate(self.shots_per_iter / (result + 1)) return root.best_child(exploration_weight=0) - -class WrapCSS: - def __init__(self, code: codes.CSSCode) -> None: - self.code = code - self.x_checks: list[tuple[int, int]] = [] - self.z_checks: list[tuple[int, int]] = [] - - for subgraph in code.get_syndrome_subgraphs(): - for edge in subgraph.edges: - data_node, check_node = sorted(edge) - pauli: Pauli = subgraph[check_node][data_node][Pauli] - if pauli == Pauli.X: - self.x_checks.append((data_node.index, check_node.index + self.num_qubits)) - else: - assert pauli == Pauli.Z # this should never fail for a CSS code! - self.z_checks.append((data_node.index, check_node.index + self.num_qubits)) - - self.all_checks = self.x_checks + self.z_checks - - def checks(self, basis: PauliXZ) -> list[tuple[int, int]]: - if basis == Pauli.X: - return self.x_checks - return self.z_checks - - @property - def num_qubits(self) -> int: - return self.code.num_qubits - - @property - def num_ancillas(self) -> int: - return self.code.num_checks - - def _syndrome_measurement( - self, - circuit: stim.Circuit, - basis: PauliXZ, - schedules: np.ndarray, - qubit_ids: QubitIDs | None = None, - ) -> None: - checks_of_basis = self.checks(basis) - zipped_schedule = zip(checks_of_basis, schedules) - sorted_schedule = sorted(zipped_schedule, key=lambda x: x[1]) - - for _, checks in itertools.groupby(sorted_schedule, key=lambda ct: ct[1]): - for check, _ in checks: - if qubit_ids: - data, ancilla = ( - qubit_ids.data[check[0]], - qubit_ids.check[check[1] - self.num_qubits], - ) - else: - data, ancilla = check - - circuit.append(f"C{basis}", [ancilla, data]) - circuit.append("TICK", []) - - def get_evaluation_circuit(self, basis: PauliXZ, schedule: np.ndarray) -> stim.Circuit: + def _get_evaluation_circuit( + self, code: codes.CSSCode, basis: PauliXZ, schedule: list[int] + ) -> stim.Circuit: # stabilizers and logical operators in the opposite basis opposite_basis = Pauli.swap_xz(basis) - stabilizers = self.code.get_stabilizer_ops(opposite_basis, symplectic=True) - logical_ops = self.code.get_logical_ops(opposite_basis, symplectic=True) + stabilizers = code.get_stabilizer_ops(opposite_basis, symplectic=True) + logical_ops = code.get_logical_ops(opposite_basis, symplectic=True) + opposite_basis_ops = np.vstack([stabilizers, logical_ops]) + opposite_basis_measurements = _get_pauli_product_measurements(opposite_basis_ops) circuit = stim.Circuit() - circuit += _get_pauli_product_measurements(stabilizers) - circuit += _get_pauli_product_measurements(logical_ops) - - self._syndrome_measurement(circuit, basis, schedule) - - circuit += _get_pauli_product_measurements(stabilizers) - circuit += _get_pauli_product_measurements(logical_ops) + circuit += opposite_basis_measurements + circuit += self._get_scheduled_circuit_for_basis(code, basis, schedule) + circuit += opposite_basis_measurements - num_stabilizers = self.code.get_num_checks(opposite_basis) - num_observables = self.code.dimension - measurement_offset = num_stabilizers + num_observables + num_stabilizers = code.get_num_checks(opposite_basis) + num_observables = code.dimension + offset = num_stabilizers + num_observables for ii in range(num_stabilizers): - index = ii + 1 + num_observables + meas_index = -ii - 1 - num_observables circuit.append( "DETECTOR", - [stim.target_rec(-index), stim.target_rec(-index - measurement_offset)], + [stim.target_rec(meas_index), stim.target_rec(meas_index - offset)], ii, ) for ii in range(num_observables): - index = ii + 1 + meas_index = -ii - 1 circuit.append( "OBSERVABLE_INCLUDE", - [stim.target_rec(-index), stim.target_rec(-index - measurement_offset)], + [stim.target_rec(meas_index), stim.target_rec(meas_index - offset)], ii, ) return circuit - def measurement_circuit( - self, x_ticks: np.ndarray, z_ticks: np.ndarray, qubit_ids: QubitIDs - ) -> tuple[stim.Circuit, MeasurementRecord]: - circuit = stim.Circuit() - circuit.append("RX", qubit_ids.check) - - self._syndrome_measurement(circuit, Pauli.X, x_ticks, qubit_ids) - self._syndrome_measurement(circuit, Pauli.Z, z_ticks, qubit_ids) - - circuit.append("MX", qubit_ids.check) - measurement_record = MeasurementRecord( - {qubit: [mm] for mm, qubit in enumerate(qubit_ids.check)} - ) - return circuit, measurement_record - @dataclass(slots=True) class TreeState: - schedule: np.ndarray - maxticks: np.ndarray + schedule: list[int] + maxticks: list[int] @staticmethod - def initial_state(nchecks: int, nqubits: int) -> TreeState: - return TreeState(np.repeat(-1, nchecks), np.repeat(-1, nqubits)) + def initial_state(num_checks: int, num_qubits: int) -> TreeState: + return TreeState([-1] * num_checks, [-1] * num_qubits) def shift(self, checks: Sequence[tuple[int, int]], meas_index: int) -> TreeState: check = checks[meas_index] @@ -278,9 +229,9 @@ def is_terminal(self) -> bool: class TreeNode: def __init__(self, state: TreeState, parent: TreeNode | None = None): self.state = state - self.parent = parent - self.children: list["TreeNode"] = [] + + self.children: list[TreeNode] = [] self.visits = 0 self.value = 0.0 @@ -315,13 +266,18 @@ def backpropagate(self, result: float) -> None: if self.parent: self.parent.backpropagate(result) - def simulate_schedule(self, checks: Sequence[tuple[int, int]]) -> np.ndarray: + def simulate_schedule(self, checks: Sequence[tuple[int, int]]) -> list[int]: current_state = self.state while not current_state.is_terminal(): current_state = current_state.shift(checks, random.choice(current_state.transitions())) return current_state.schedule +def _get_checks(code: codes.CSSCode, basis: PauliXZ) -> Sequence[tuple[int, int]]: + graph = code.get_graph(basis) + return [(data.index, check.index + len(code)) for data, check in map(sorted, graph.edges)] + + def _get_pauli_product_measurements(op_matrix: npt.NDArray[np.int_]) -> stim.Circuit: op_graph = codes.QuditCode.matrix_to_graph(op_matrix) diff --git a/src/qldpc/codes/common.py b/src/qldpc/codes/common.py index 2225012a9..d7ba259fc 100644 --- a/src/qldpc/codes/common.py +++ b/src/qldpc/codes/common.py @@ -2116,7 +2116,7 @@ def graph_z(self) -> nx.DiGraph: ] return self.graph.subgraph(data_nodes + check_nodes) - def get_graph(self, pauli: PauliXZ) -> galois.FieldArray: + def get_graph(self, pauli: PauliXZ) -> nx.DiGraph: """Subgragh of the Tanner graph for pauli-type parity checks.""" assert pauli in PAULIS_XZ return self.graph_x if pauli is Pauli.X else self.graph_z @@ -2187,7 +2187,7 @@ def num_checks_z(self) -> int: """Number of Z-type parity checks in this code.""" return self.matrix_z.shape[0] - def get_num_checks(self, pauli: PauliXZ) -> galois.FieldArray: + def get_num_checks(self, pauli: PauliXZ) -> int: """Number of parity checks of a given type in this code.""" assert pauli in PAULIS_XZ return self.num_checks_x if pauli is Pauli.X else self.num_checks_z From 8bdc207d46e36425e9bf857222c1325af339d8ec Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Tue, 24 Mar 2026 20:58:50 -0400 Subject: [PATCH 16/71] minor indexing change --- src/qldpc/circuits/alpha_syndrome.py | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 092e91c26..19108a957 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -174,19 +174,19 @@ def _get_evaluation_circuit( num_stabilizers = code.get_num_checks(opposite_basis) num_observables = code.dimension - offset = num_stabilizers + num_observables + num_measurements = num_stabilizers + num_observables for ii in range(num_stabilizers): - meas_index = -ii - 1 - num_observables + meas_index = -num_measurements + ii circuit.append( "DETECTOR", - [stim.target_rec(meas_index), stim.target_rec(meas_index - offset)], + [stim.target_rec(meas_index), stim.target_rec(meas_index - num_measurements)], ii, ) for ii in range(num_observables): - meas_index = -ii - 1 + meas_index = -num_measurements + num_stabilizers + ii circuit.append( "OBSERVABLE_INCLUDE", - [stim.target_rec(meas_index), stim.target_rec(meas_index - offset)], + [stim.target_rec(meas_index), stim.target_rec(meas_index - num_measurements)], ii, ) From c33a7ffea271c6be515714fd98d02da662548fc5 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Tue, 24 Mar 2026 21:20:03 -0400 Subject: [PATCH 17/71] qubit indexing --- src/qldpc/circuits/alpha_syndrome.py | 14 +++++++------- src/qldpc/circuits/bookkeeping.py | 6 ++++++ 2 files changed, 13 insertions(+), 7 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 19108a957..20edde0e6 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -32,7 +32,7 @@ from qldpc.objects import Node, Pauli, PauliXZ from .bookkeeping import MeasurementRecord, QubitIDs -from .common import restrict_to_qubits +from .common import restrict_to_qubits, with_remapped_qubits from .noise_model import NoiseModel from .syndrome_measurement import SyndromeMeasurementStrategy @@ -90,17 +90,17 @@ def get_circuit( "The AlphaSyndrome strategy for syndrome measurement only supports CSS codes" ) qubit_ids = qubit_ids or QubitIDs.from_code(code) - x_ticks = self._get_schedule(code, Pauli.X) - z_ticks = self._get_schedule(code, Pauli.Z) + x_ticks = self._get_schedule_for_basis(code, Pauli.X) + z_ticks = self._get_schedule_for_basis(code, Pauli.Z) circuit = stim.Circuit() - circuit.append("RX", qubit_ids.check) + circuit.append("RX", range(len(code), len(code) + code.num_checks)) circuit += self._get_scheduled_circuit_for_basis(code, Pauli.X, x_ticks) circuit += self._get_scheduled_circuit_for_basis(code, Pauli.Z, z_ticks) - circuit.append("MX", qubit_ids.check) + circuit.append("MX", range(len(code), len(code) + code.num_checks)) record = MeasurementRecord({qubit: [mm] for mm, qubit in enumerate(qubit_ids.check)}) - return circuit, record + return qubit_ids.with_remapped_qubits(circuit), record @staticmethod def _get_scheduled_circuit_for_basis( @@ -118,7 +118,7 @@ def _get_scheduled_circuit_for_basis( return circuit - def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> list[int]: + def _get_schedule_for_basis(self, code: codes.CSSCode, basis: PauliXZ) -> list[int]: checks = _get_checks(code, basis) node = TreeNode(TreeState.initial_state(len(checks), code.num_qubits + code.num_checks)) while not node.is_terminal(): diff --git a/src/qldpc/circuits/bookkeeping.py b/src/qldpc/circuits/bookkeeping.py index 3c76dd179..c535b19b8 100644 --- a/src/qldpc/circuits/bookkeeping.py +++ b/src/qldpc/circuits/bookkeeping.py @@ -30,6 +30,8 @@ from qldpc import codes +from .common import with_remapped_qubits + @dataclasses.dataclass class QubitIDs: @@ -94,6 +96,10 @@ def add_ancillas(self, number: int) -> None: start = self.max() + 1 self.ancilla += tuple(range(start, start + number)) + def with_remapped_qubits(self, circuit: stim.Circuit) -> stim.Circuit: + """Remap qubits from their default indices.""" + return with_remapped_qubits(circuit, list(iter(self)), inverse=True) + class Record(Mapping[Hashable, list[int]]): """An organized record of events in a Stim circuit. From 69d17d345ee1590622639af21f1d8703618b5cdd Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Tue, 24 Mar 2026 21:21:21 -0400 Subject: [PATCH 18/71] nits --- src/qldpc/circuits/alpha_syndrome.py | 15 ++++++++------- 1 file changed, 8 insertions(+), 7 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 20edde0e6..a75a1084e 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -90,20 +90,21 @@ def get_circuit( "The AlphaSyndrome strategy for syndrome measurement only supports CSS codes" ) qubit_ids = qubit_ids or QubitIDs.from_code(code) - x_ticks = self._get_schedule_for_basis(code, Pauli.X) - z_ticks = self._get_schedule_for_basis(code, Pauli.Z) + + schedule_x = self._get_schedule(code, Pauli.X) + schedule_z = self._get_schedule(code, Pauli.Z) circuit = stim.Circuit() circuit.append("RX", range(len(code), len(code) + code.num_checks)) - circuit += self._get_scheduled_circuit_for_basis(code, Pauli.X, x_ticks) - circuit += self._get_scheduled_circuit_for_basis(code, Pauli.Z, z_ticks) + circuit += self._get_scheduled_circuit(code, Pauli.X, schedule_x) + circuit += self._get_scheduled_circuit(code, Pauli.Z, schedule_z) circuit.append("MX", range(len(code), len(code) + code.num_checks)) record = MeasurementRecord({qubit: [mm] for mm, qubit in enumerate(qubit_ids.check)}) return qubit_ids.with_remapped_qubits(circuit), record @staticmethod - def _get_scheduled_circuit_for_basis( + def _get_scheduled_circuit( code: codes.CSSCode, basis: PauliXZ, schedule: Sequence[int] ) -> stim.Circuit: checks_of_basis = _get_checks(code, basis) @@ -118,7 +119,7 @@ def _get_scheduled_circuit_for_basis( return circuit - def _get_schedule_for_basis(self, code: codes.CSSCode, basis: PauliXZ) -> list[int]: + def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> list[int]: checks = _get_checks(code, basis) node = TreeNode(TreeState.initial_state(len(checks), code.num_qubits + code.num_checks)) while not node.is_terminal(): @@ -169,7 +170,7 @@ def _get_evaluation_circuit( circuit = stim.Circuit() circuit += opposite_basis_measurements - circuit += self._get_scheduled_circuit_for_basis(code, basis, schedule) + circuit += self._get_scheduled_circuit(code, basis, schedule) circuit += opposite_basis_measurements num_stabilizers = code.get_num_checks(opposite_basis) From b6f4c0e7ecb9dec8f4be1f7d1c15c5bde113a98b Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Tue, 24 Mar 2026 22:00:47 -0400 Subject: [PATCH 19/71] minor simplification --- src/qldpc/circuits/alpha_syndrome.py | 30 +++++++++++++++++----------- 1 file changed, 18 insertions(+), 12 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index a75a1084e..fddc8e1b3 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -22,6 +22,7 @@ import random from collections.abc import Sequence from dataclasses import dataclass +from typing import TypeVar import numpy as np import numpy.typing as npt @@ -32,10 +33,12 @@ from qldpc.objects import Node, Pauli, PauliXZ from .bookkeeping import MeasurementRecord, QubitIDs -from .common import restrict_to_qubits, with_remapped_qubits +from .common import restrict_to_qubits from .noise_model import NoiseModel from .syndrome_measurement import SyndromeMeasurementStrategy +T = TypeVar("T") + class AlphaSyndrome(SyndromeMeasurementStrategy): """AlphaSyndrome strategy for constructing a syndrome measurement circuit. @@ -107,16 +110,11 @@ def get_circuit( def _get_scheduled_circuit( code: codes.CSSCode, basis: PauliXZ, schedule: Sequence[int] ) -> stim.Circuit: - checks_of_basis = _get_checks(code, basis) - zipped_schedule = zip(checks_of_basis, schedule) - sorted_schedule = sorted(zipped_schedule, key=lambda x: x[1]) - + checks = _get_checks(code, basis) circuit = stim.Circuit() - for _, checks in itertools.groupby(sorted_schedule, key=lambda ct: ct[1]): - for (data, ancilla), _ in checks: - circuit.append(f"C{basis}", [ancilla, data]) - circuit.append("TICK", []) - + for data, ancilla in _sort_items_by_partial_order(checks, schedule): + circuit.append(f"C{basis}", [ancilla, data]) + circuit.append("TICK", []) return circuit def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> list[int]: @@ -208,11 +206,11 @@ def shift(self, checks: Sequence[tuple[int, int]], meas_index: int) -> TreeState new_tick = max(self.maxticks[check[0]], self.maxticks[check[1]]) + 1 new_schedule = self.schedule.copy() - new_maxticks = self.maxticks.copy() + new_schedule[meas_index] = new_tick + new_maxticks = self.maxticks.copy() new_maxticks[check[0]] = new_tick new_maxticks[check[1]] = new_tick - new_schedule[meas_index] = new_tick return TreeState(new_schedule, new_maxticks) @@ -279,6 +277,14 @@ def _get_checks(code: codes.CSSCode, basis: PauliXZ) -> Sequence[tuple[int, int] return [(data.index, check.index + len(code)) for data, check in map(sorted, graph.edges)] +def _sort_items_by_partial_order(items: list[T], partial_order: list[int]) -> list[T]: + sorted_items_with_order = sorted( + zip(items, partial_order), + key=lambda item_and_order: item_and_order[1], + ) + return [item for item, _ in sorted_items_with_order] + + def _get_pauli_product_measurements(op_matrix: npt.NDArray[np.int_]) -> stim.Circuit: op_graph = codes.QuditCode.matrix_to_graph(op_matrix) From 5a80b6d1861b70f66adb06178534001b5dcbc8f2 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 09:13:04 -0400 Subject: [PATCH 20/71] typing cleanup --- src/qldpc/circuits/alpha_syndrome.py | 12 ++++++------ src/qldpc/circuits/bookkeeping.py | 2 +- 2 files changed, 7 insertions(+), 7 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index fddc8e1b3..573f2270c 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -17,7 +17,6 @@ from __future__ import annotations -import itertools import math import random from collections.abc import Sequence @@ -112,7 +111,7 @@ def _get_scheduled_circuit( ) -> stim.Circuit: checks = _get_checks(code, basis) circuit = stim.Circuit() - for data, ancilla in _sort_items_by_partial_order(checks, schedule): + for data, ancilla in _sort_items_by_values(checks, schedule): circuit.append(f"C{basis}", [ancilla, data]) circuit.append("TICK", []) return circuit @@ -272,15 +271,16 @@ def simulate_schedule(self, checks: Sequence[tuple[int, int]]) -> list[int]: return current_state.schedule -def _get_checks(code: codes.CSSCode, basis: PauliXZ) -> Sequence[tuple[int, int]]: +def _get_checks(code: codes.CSSCode, basis: PauliXZ) -> list[tuple[int, int]]: graph = code.get_graph(basis) return [(data.index, check.index + len(code)) for data, check in map(sorted, graph.edges)] -def _sort_items_by_partial_order(items: list[T], partial_order: list[int]) -> list[T]: +def _sort_items_by_values(items: list[T], values: Sequence[int]) -> list[T]: + assert len(items) == len(values) sorted_items_with_order = sorted( - zip(items, partial_order), - key=lambda item_and_order: item_and_order[1], + zip(items, values), + key=lambda item_and_value: item_and_value[1], ) return [item for item, _ in sorted_items_with_order] diff --git a/src/qldpc/circuits/bookkeeping.py b/src/qldpc/circuits/bookkeeping.py index c535b19b8..fe9ad7db7 100644 --- a/src/qldpc/circuits/bookkeeping.py +++ b/src/qldpc/circuits/bookkeeping.py @@ -98,7 +98,7 @@ def add_ancillas(self, number: int) -> None: def with_remapped_qubits(self, circuit: stim.Circuit) -> stim.Circuit: """Remap qubits from their default indices.""" - return with_remapped_qubits(circuit, list(iter(self)), inverse=True) + return with_remapped_qubits(circuit, self.data + self.check + self.ancilla, inverse=True) class Record(Mapping[Hashable, list[int]]): From af4bc8b537bb5648e44c1b0e6731366a709fa129 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 09:31:13 -0400 Subject: [PATCH 21/71] some renaming --- src/qldpc/circuits/alpha_syndrome.py | 56 ++++++++++++++++------------ 1 file changed, 32 insertions(+), 24 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 573f2270c..fdced4601 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -118,10 +118,10 @@ def _get_scheduled_circuit( def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> list[int]: checks = _get_checks(code, basis) - node = TreeNode(TreeState.initial_state(len(checks), code.num_qubits + code.num_checks)) + node = TreeNode(TreeState.head(len(checks), code.num_qubits + code.num_checks)) while not node.is_terminal(): node = self._schedule_step(code, basis, node, checks) - return node.state.schedule + return node.state.gate_to_time def _schedule_step( self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode, checks: Sequence[tuple[int, int]] @@ -193,35 +193,39 @@ def _get_evaluation_circuit( @dataclass(slots=True) class TreeState: - schedule: list[int] - maxticks: list[int] + gate_to_time: list[int] # time index for each gate. -1 for unscheduled gates + min_time_for_qubit: list[int] # minimum time index for a new gate on a qubit @staticmethod - def initial_state(num_checks: int, num_qubits: int) -> TreeState: - return TreeState([-1] * num_checks, [-1] * num_qubits) + def head(num_gates: int, num_qubits: int) -> TreeState: + """The head node for a scheduling tree.""" + return TreeState([-1] * num_gates, [0] * num_qubits) - def shift(self, checks: Sequence[tuple[int, int]], meas_index: int) -> TreeState: - check = checks[meas_index] - new_tick = max(self.maxticks[check[0]], self.maxticks[check[1]]) + 1 + def select(self, gates: Sequence[tuple[int, int]], gate_index: int) -> TreeState: + """Append the given gate (by index).""" + pp, qq = gates[gate_index] # gate targets + time_index = max(self.min_time_for_qubit[pp], self.min_time_for_qubit[qq]) - new_schedule = self.schedule.copy() - new_schedule[meas_index] = new_tick + gate_to_time = self.gate_to_time.copy() + gate_to_time[gate_index] = time_index - new_maxticks = self.maxticks.copy() - new_maxticks[check[0]] = new_tick - new_maxticks[check[1]] = new_tick + min_time_for_qubit = self.min_time_for_qubit.copy() + min_time_for_qubit[pp] = time_index + min_time_for_qubit[qq] = time_index - return TreeState(new_schedule, new_maxticks) + return TreeState(gate_to_time, min_time_for_qubit) def transitions(self) -> list[int]: - states = [] - for meas_index, tick in enumerate(self.schedule): - if tick == -1: # unmeasured syndrome measurement - states.append(meas_index) - return states + """List of gates (by index) that still need to be scheduled.""" + return [ + gate_index + for gate_index, time_index in enumerate(self.gate_to_time) + if time_index == -1 + ] def is_terminal(self) -> bool: - return min(self.schedule) != -1 + """Have all gates been scheduled?""" + return -1 not in self.gate_to_time class TreeNode: @@ -243,7 +247,7 @@ def is_terminal(self) -> bool: return self.state.is_terminal() def expand(self, checks: Sequence[tuple[int, int]]) -> TreeNode: - next_state = self.state.shift(checks, self.unvisited.pop()) + next_state = self.state.select(checks, self.unvisited.pop()) child_node = TreeNode(next_state, parent=self) self.children.append(child_node) return child_node @@ -267,8 +271,8 @@ def backpropagate(self, result: float) -> None: def simulate_schedule(self, checks: Sequence[tuple[int, int]]) -> list[int]: current_state = self.state while not current_state.is_terminal(): - current_state = current_state.shift(checks, random.choice(current_state.transitions())) - return current_state.schedule + current_state = current_state.select(checks, random.choice(current_state.transitions())) + return current_state.gate_to_time def _get_checks(code: codes.CSSCode, basis: PauliXZ) -> list[tuple[int, int]]: @@ -286,6 +290,10 @@ def _sort_items_by_values(items: list[T], values: Sequence[int]) -> list[T]: def _get_pauli_product_measurements(op_matrix: npt.NDArray[np.int_]) -> stim.Circuit: + """Construct a circuit that measures Pauli strings represented by the rows of a matrix. + + For example, passing the parity check matrix will measure stabilizers. + """ op_graph = codes.QuditCode.matrix_to_graph(op_matrix) circuit = stim.Circuit() From 83dfd912088d30a9bb19670ca297c905c57567d1 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 09:43:01 -0400 Subject: [PATCH 22/71] more comments, renaming, etc. --- src/qldpc/circuits/alpha_syndrome.py | 61 +++++++++++----------- src/qldpc/circuits/syndrome_measurement.py | 3 +- 2 files changed, 32 insertions(+), 32 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index fdced4601..f6a121a18 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -93,38 +93,39 @@ def get_circuit( ) qubit_ids = qubit_ids or QubitIDs.from_code(code) - schedule_x = self._get_schedule(code, Pauli.X) - schedule_z = self._get_schedule(code, Pauli.Z) + # the heavy lifting: schedule gates + gates_cx = self._get_schedule(code, Pauli.X) + gates_cz = self._get_schedule(code, Pauli.Z) + # construct a circuit from the gate schedules circuit = stim.Circuit() circuit.append("RX", range(len(code), len(code) + code.num_checks)) - circuit += self._get_scheduled_circuit(code, Pauli.X, schedule_x) - circuit += self._get_scheduled_circuit(code, Pauli.Z, schedule_z) + circuit += self._get_circuit_from_gates(gates_cx, Pauli.X) + circuit += self._get_circuit_from_gates(gates_cz, Pauli.Z) circuit.append("MX", range(len(code), len(code) + code.num_checks)) + # remap qubits and return the circuit together with a measurement record + circuit = qubit_ids.with_remapped_qubits(circuit) record = MeasurementRecord({qubit: [mm] for mm, qubit in enumerate(qubit_ids.check)}) - return qubit_ids.with_remapped_qubits(circuit), record + return circuit, record @staticmethod - def _get_scheduled_circuit( - code: codes.CSSCode, basis: PauliXZ, schedule: Sequence[int] - ) -> stim.Circuit: - checks = _get_checks(code, basis) - circuit = stim.Circuit() - for data, ancilla in _sort_items_by_values(checks, schedule): - circuit.append(f"C{basis}", [ancilla, data]) - circuit.append("TICK", []) + def _get_circuit_from_gates(gates: Sequence[tuple[int, int]], basis: PauliXZ) -> stim.Circuit: + circuit = stim.Circuit("TICK") + for gate in gates: + circuit.append(f"C{basis}", gate) + # TODO: add ticks between gate layers return circuit - def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> list[int]: - checks = _get_checks(code, basis) - node = TreeNode(TreeState.head(len(checks), code.num_qubits + code.num_checks)) + def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> list[tuple[int, int]]: + gates = _get_gates(code, basis) + node = TreeNode(TreeState.head(len(gates), code.num_qubits + code.num_checks)) while not node.is_terminal(): - node = self._schedule_step(code, basis, node, checks) - return node.state.gate_to_time + node = self._schedule_step(code, basis, node, gates) + return node.rollout(gates) def _schedule_step( - self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode, checks: Sequence[tuple[int, int]] + self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode, gates: Sequence[tuple[int, int]] ) -> TreeNode: iterations = max(0, self.iters_per_step - root.visits) for _ in range(iterations): @@ -132,10 +133,10 @@ def _schedule_step( while not node.is_terminal() and node.is_fully_expanded(): node = node.best_child() if not node.is_terminal(): - node = node.expand(checks) + node = node.expand(gates) - schedule = node.simulate_schedule(checks) - circuit = self._get_evaluation_circuit(code, basis, schedule) + scheduled_gates = node.rollout(gates) + circuit = self._get_evaluation_circuit(code, basis, scheduled_gates) noisy_circuit = self.noise_model.noisy_circuit( circuit, immune_qubits=range(code.num_qubits), insert_ticks=False ) @@ -155,7 +156,7 @@ def _schedule_step( return root.best_child(exploration_weight=0) def _get_evaluation_circuit( - self, code: codes.CSSCode, basis: PauliXZ, schedule: list[int] + self, code: codes.CSSCode, basis: PauliXZ, gates: Sequence[tuple[int, int]] ) -> stim.Circuit: # stabilizers and logical operators in the opposite basis @@ -167,7 +168,7 @@ def _get_evaluation_circuit( circuit = stim.Circuit() circuit += opposite_basis_measurements - circuit += self._get_scheduled_circuit(code, basis, schedule) + circuit += self._get_circuit_from_gates(gates, basis) circuit += opposite_basis_measurements num_stabilizers = code.get_num_checks(opposite_basis) @@ -268,19 +269,19 @@ def backpropagate(self, result: float) -> None: if self.parent: self.parent.backpropagate(result) - def simulate_schedule(self, checks: Sequence[tuple[int, int]]) -> list[int]: + def rollout(self, gates: Sequence[tuple[int, int]]) -> list[tuple[int, int]]: current_state = self.state while not current_state.is_terminal(): - current_state = current_state.select(checks, random.choice(current_state.transitions())) - return current_state.gate_to_time + current_state = current_state.select(gates, random.choice(current_state.transitions())) + return _sort_items_by_values(gates, current_state.gate_to_time) -def _get_checks(code: codes.CSSCode, basis: PauliXZ) -> list[tuple[int, int]]: +def _get_gates(code: codes.CSSCode, basis: PauliXZ) -> list[tuple[int, int]]: graph = code.get_graph(basis) - return [(data.index, check.index + len(code)) for data, check in map(sorted, graph.edges)] + return [(check.index + len(code), data.index) for data, check in map(sorted, graph.edges)] -def _sort_items_by_values(items: list[T], values: Sequence[int]) -> list[T]: +def _sort_items_by_values(items: Sequence[T], values: Sequence[int]) -> list[T]: assert len(items) == len(values) sorted_items_with_order = sorted( zip(items, values), diff --git a/src/qldpc/circuits/syndrome_measurement.py b/src/qldpc/circuits/syndrome_measurement.py index 835f2aef7..8ea518e94 100644 --- a/src/qldpc/circuits/syndrome_measurement.py +++ b/src/qldpc/circuits/syndrome_measurement.py @@ -134,8 +134,7 @@ def graph_to_circuit(graph: nx.DiGraph, qubit_ids: QubitIDs, strategy: str) -> s for gates in color_to_ops.values(): for gate, check_id, data_id in sorted(gates): circuit.append(gate, [check_id, data_id]) - # add TICK to separate scheduled gate layers - circuit.append("TICK") + circuit.append("TICK") # separate scheduled gate layers return circuit From dc64b7b252ef4df5dd510d940957fc13d2819a51 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 09:55:19 -0400 Subject: [PATCH 23/71] expose exploration weight in AlphaSyndrome --- src/qldpc/circuits/alpha_syndrome.py | 17 ++++++++++------- 1 file changed, 10 insertions(+), 7 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index f6a121a18..fe3c98596 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -56,21 +56,24 @@ def __init__( custom_decoders: dict[str, sinter.Decoder] | None = None, iters_per_step: int = 8000, shots_per_iter: int = 10000, + exploration_weight: float = 1.4, ) -> None: """Initialize an EdgeColoringXZ syndrome measurement strategy. Args: - noise_model: The noise model append to the syndrome measurement circuit + noise_model: The noise model append to the syndrome measurement circuit. decoder: The decoder that Sinter should use to compute logical error rates. - custom_decoder: Custom decoders to pass Sinter, if applicable - iters_per_step: iterations per MCTS step, default is 8000 - shots_per_iter: number of sampling shots per iteration, default is 10000 + custom_decoder: Custom decoders to pass Sinter, if applicable. + iters_per_step: iterations per MCTS step (default: 8000). + shots_per_iter: number of sampling shots per iteration (default: 10000). + exploration_weight: exploration parameter of MCTS (default: 1.4). """ self.noise_model = noise_model self.decoder = decoder self.custom_decoders = custom_decoders self.iters_per_step = iters_per_step self.shots_per_iter = shots_per_iter + self.exploration_weight = exploration_weight @restrict_to_qubits def get_circuit( @@ -131,7 +134,7 @@ def _schedule_step( for _ in range(iterations): node = root while not node.is_terminal() and node.is_fully_expanded(): - node = node.best_child() + node = node.best_child(self.exploration_weight) if not node.is_terminal(): node = node.expand(gates) @@ -249,11 +252,11 @@ def is_terminal(self) -> bool: def expand(self, checks: Sequence[tuple[int, int]]) -> TreeNode: next_state = self.state.select(checks, self.unvisited.pop()) - child_node = TreeNode(next_state, parent=self) + child_node = TreeNode(next_state, self) self.children.append(child_node) return child_node - def best_child(self, exploration_weight: float = 1.4) -> TreeNode: + def best_child(self, exploration_weight: float) -> TreeNode: def ucb_score(child: TreeNode) -> float: if child.visits == 0: return float("inf") # pragma: no cover From fe89329a1f836f1699b81f97137fac15a262ab49 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 10:01:48 -0400 Subject: [PATCH 24/71] nit rearrangement --- src/qldpc/circuits/alpha_syndrome.py | 112 ++++++++++++++------------- 1 file changed, 58 insertions(+), 54 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index fe3c98596..a691d7793 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -123,7 +123,7 @@ def _get_circuit_from_gates(gates: Sequence[tuple[int, int]], basis: PauliXZ) -> def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> list[tuple[int, int]]: gates = _get_gates(code, basis) node = TreeNode(TreeState.head(len(gates), code.num_qubits + code.num_checks)) - while not node.is_terminal(): + while not node.is_terminal: node = self._schedule_step(code, basis, node, gates) return node.rollout(gates) @@ -133,9 +133,9 @@ def _schedule_step( iterations = max(0, self.iters_per_step - root.visits) for _ in range(iterations): node = root - while not node.is_terminal() and node.is_fully_expanded(): + while not node.is_terminal and node.is_fully_expanded: node = node.best_child(self.exploration_weight) - if not node.is_terminal(): + if not node.is_terminal: node = node.expand(gates) scheduled_gates = node.rollout(gates) @@ -195,67 +195,45 @@ def _get_evaluation_circuit( return circuit -@dataclass(slots=True) -class TreeState: - gate_to_time: list[int] # time index for each gate. -1 for unscheduled gates - min_time_for_qubit: list[int] # minimum time index for a new gate on a qubit - - @staticmethod - def head(num_gates: int, num_qubits: int) -> TreeState: - """The head node for a scheduling tree.""" - return TreeState([-1] * num_gates, [0] * num_qubits) - - def select(self, gates: Sequence[tuple[int, int]], gate_index: int) -> TreeState: - """Append the given gate (by index).""" - pp, qq = gates[gate_index] # gate targets - time_index = max(self.min_time_for_qubit[pp], self.min_time_for_qubit[qq]) - - gate_to_time = self.gate_to_time.copy() - gate_to_time[gate_index] = time_index - - min_time_for_qubit = self.min_time_for_qubit.copy() - min_time_for_qubit[pp] = time_index - min_time_for_qubit[qq] = time_index - - return TreeState(gate_to_time, min_time_for_qubit) - - def transitions(self) -> list[int]: - """List of gates (by index) that still need to be scheduled.""" - return [ - gate_index - for gate_index, time_index in enumerate(self.gate_to_time) - if time_index == -1 - ] - - def is_terminal(self) -> bool: - """Have all gates been scheduled?""" - return -1 not in self.gate_to_time - - class TreeNode: + """Node of a tree for Monte Carlo tree search (MCTS).""" + def __init__(self, state: TreeState, parent: TreeNode | None = None): self.state = state self.parent = parent self.children: list[TreeNode] = [] + self.unvisited = state.transitions() self.visits = 0 self.value = 0.0 - self.unvisited = state.transitions() + @property + def is_terminal(self) -> bool: + return self.state.is_terminal + @property def is_fully_expanded(self) -> bool: return len(self.unvisited) == 0 - def is_terminal(self) -> bool: - return self.state.is_terminal() - def expand(self, checks: Sequence[tuple[int, int]]) -> TreeNode: next_state = self.state.select(checks, self.unvisited.pop()) child_node = TreeNode(next_state, self) self.children.append(child_node) return child_node + def backpropagate(self, result: float) -> None: + self.visits += 1 + self.value += result + if self.parent: + self.parent.backpropagate(result) + + def rollout(self, gates: Sequence[tuple[int, int]]) -> list[tuple[int, int]]: + current_state = self.state + while not current_state.is_terminal: + current_state = current_state.select(gates, random.choice(current_state.transitions())) + return _sort_items_by_values(gates, current_state.gate_to_time) + def best_child(self, exploration_weight: float) -> TreeNode: def ucb_score(child: TreeNode) -> float: if child.visits == 0: @@ -266,17 +244,43 @@ def ucb_score(child: TreeNode) -> float: return max(self.children, key=ucb_score) - def backpropagate(self, result: float) -> None: - self.visits += 1 - self.value += result - if self.parent: - self.parent.backpropagate(result) - def rollout(self, gates: Sequence[tuple[int, int]]) -> list[tuple[int, int]]: - current_state = self.state - while not current_state.is_terminal(): - current_state = current_state.select(gates, random.choice(current_state.transitions())) - return _sort_items_by_values(gates, current_state.gate_to_time) +@dataclass(slots=True) +class TreeState: + gate_to_time: list[int] # time index for each gate. -1 for unscheduled gates + min_time_for_qubit: list[int] # minimum time index for a new gate on a qubit + + @staticmethod + def head(num_gates: int, num_qubits: int) -> TreeState: + """The head node for a scheduling tree.""" + return TreeState([-1] * num_gates, [0] * num_qubits) + + @property + def is_terminal(self) -> bool: + """Have all gates been scheduled?""" + return -1 not in self.gate_to_time + + def transitions(self) -> list[int]: + """List of gates (by index) that still need to be scheduled.""" + return [ + gate_index + for gate_index, time_index in enumerate(self.gate_to_time) + if time_index == -1 + ] + + def select(self, gates: Sequence[tuple[int, int]], gate_index: int) -> TreeState: + """Append the given gate (by index).""" + pp, qq = gates[gate_index] # gate targets + time_index = max(self.min_time_for_qubit[pp], self.min_time_for_qubit[qq]) + + gate_to_time = self.gate_to_time.copy() + gate_to_time[gate_index] = time_index + + min_time_for_qubit = self.min_time_for_qubit.copy() + min_time_for_qubit[pp] = time_index + min_time_for_qubit[qq] = time_index + + return TreeState(gate_to_time, min_time_for_qubit) def _get_gates(code: codes.CSSCode, basis: PauliXZ) -> list[tuple[int, int]]: From 2f60a353837cf960683b473ebb87dcafadfb3b3f Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 10:14:46 -0400 Subject: [PATCH 25/71] cleanup --- src/qldpc/circuits/alpha_syndrome.py | 56 +++++++++++++++------------- 1 file changed, 31 insertions(+), 25 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index a691d7793..b89fe456d 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -17,6 +17,7 @@ from __future__ import annotations +import collections import math import random from collections.abc import Sequence @@ -39,6 +40,9 @@ T = TypeVar("T") +GateSchedule = list[list[tuple[int, int]]] + + class AlphaSyndrome(SyndromeMeasurementStrategy): """AlphaSyndrome strategy for constructing a syndrome measurement circuit. @@ -97,14 +101,14 @@ def get_circuit( qubit_ids = qubit_ids or QubitIDs.from_code(code) # the heavy lifting: schedule gates - gates_cx = self._get_schedule(code, Pauli.X) - gates_cz = self._get_schedule(code, Pauli.Z) + schedule_cx = self._get_schedule(code, Pauli.X) + schedule_cz = self._get_schedule(code, Pauli.Z) # construct a circuit from the gate schedules circuit = stim.Circuit() circuit.append("RX", range(len(code), len(code) + code.num_checks)) - circuit += self._get_circuit_from_gates(gates_cx, Pauli.X) - circuit += self._get_circuit_from_gates(gates_cz, Pauli.Z) + circuit += self._get_circuit_from_schedule(schedule_cx, Pauli.X) + circuit += self._get_circuit_from_schedule(schedule_cz, Pauli.Z) circuit.append("MX", range(len(code), len(code) + code.num_checks)) # remap qubits and return the circuit together with a measurement record @@ -113,15 +117,22 @@ def get_circuit( return circuit, record @staticmethod - def _get_circuit_from_gates(gates: Sequence[tuple[int, int]], basis: PauliXZ) -> stim.Circuit: + def _get_circuit_from_schedule( + schedule: Sequence[Sequence[tuple[int, int]]], basis: PauliXZ + ) -> stim.Circuit: circuit = stim.Circuit("TICK") - for gate in gates: - circuit.append(f"C{basis}", gate) - # TODO: add ticks between gate layers + for gates in schedule: + for gate in gates: + circuit.append(f"C{basis}", gate) + circuit.append("TICK") return circuit - def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> list[tuple[int, int]]: - gates = _get_gates(code, basis) + def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> GateSchedule: + # identify gates that need to be cheduled + graph = code.get_graph(basis) + gates = [(check.index + len(code), data.index) for data, check in map(sorted, graph.edges)] + + # schedule gates with MCTS node = TreeNode(TreeState.head(len(gates), code.num_qubits + code.num_checks)) while not node.is_terminal: node = self._schedule_step(code, basis, node, gates) @@ -159,7 +170,7 @@ def _schedule_step( return root.best_child(exploration_weight=0) def _get_evaluation_circuit( - self, code: codes.CSSCode, basis: PauliXZ, gates: Sequence[tuple[int, int]] + self, code: codes.CSSCode, basis: PauliXZ, gates: Sequence[Sequence[tuple[int, int]]] ) -> stim.Circuit: # stabilizers and logical operators in the opposite basis @@ -171,7 +182,7 @@ def _get_evaluation_circuit( circuit = stim.Circuit() circuit += opposite_basis_measurements - circuit += self._get_circuit_from_gates(gates, basis) + circuit += self._get_circuit_from_schedule(gates, basis) circuit += opposite_basis_measurements num_stabilizers = code.get_num_checks(opposite_basis) @@ -228,11 +239,11 @@ def backpropagate(self, result: float) -> None: if self.parent: self.parent.backpropagate(result) - def rollout(self, gates: Sequence[tuple[int, int]]) -> list[tuple[int, int]]: + def rollout(self, gates: Sequence[tuple[int, int]]) -> GateSchedule: current_state = self.state while not current_state.is_terminal: current_state = current_state.select(gates, random.choice(current_state.transitions())) - return _sort_items_by_values(gates, current_state.gate_to_time) + return _group_items_by_sorted_values(gates, current_state.gate_to_time) def best_child(self, exploration_weight: float) -> TreeNode: def ucb_score(child: TreeNode) -> float: @@ -283,18 +294,13 @@ def select(self, gates: Sequence[tuple[int, int]], gate_index: int) -> TreeState return TreeState(gate_to_time, min_time_for_qubit) -def _get_gates(code: codes.CSSCode, basis: PauliXZ) -> list[tuple[int, int]]: - graph = code.get_graph(basis) - return [(check.index + len(code), data.index) for data, check in map(sorted, graph.edges)] - - -def _sort_items_by_values(items: Sequence[T], values: Sequence[int]) -> list[T]: +def _group_items_by_sorted_values(items: Sequence[T], values: Sequence[int]) -> list[list[T]]: + """Group items by associated values, and return groups of items in order of increasing value.""" assert len(items) == len(values) - sorted_items_with_order = sorted( - zip(items, values), - key=lambda item_and_value: item_and_value[1], - ) - return [item for item, _ in sorted_items_with_order] + value_to_items: dict[int, list[T]] = collections.defaultdict(list) + for item, value in zip(items, values): + value_to_items[value].append(item) + return [value_to_items[value] for value in sorted(value_to_items.keys())] def _get_pauli_product_measurements(op_matrix: npt.NDArray[np.int_]) -> stim.Circuit: From 61fd0fcb6cdadb167c18a5fe87a811d11206c6f9 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 10:19:14 -0400 Subject: [PATCH 26/71] nit test cleanup --- src/qldpc/circuits/alpha_syndrome_test.py | 16 ++++------------ 1 file changed, 4 insertions(+), 12 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome_test.py b/src/qldpc/circuits/alpha_syndrome_test.py index ae62b2973..db91ffa85 100644 --- a/src/qldpc/circuits/alpha_syndrome_test.py +++ b/src/qldpc/circuits/alpha_syndrome_test.py @@ -51,27 +51,19 @@ def test_alpha_syndrome(pytestconfig: pytest.Config) -> None: """Verify that syndromes are read out correctly.""" seed = pytestconfig.getoption("randomly_seed") - # default strategies for non-CSS and CSS codes + # verify that AlphaSyndrome builds valid syndrome extraction circuits for a few codes assert alpha_syndrome_is_valid(codes.SteaneCode()) - - # special strategies for toric and surface codes assert alpha_syndrome_is_valid(codes.ToricCode(2, rotated=True)) assert alpha_syndrome_is_valid(codes.SurfaceCode(2, rotated=True)) - # special strategy for HGPCodes code_a = codes.ClassicalCode.random(5, 3, seed=seed) code_b = codes.ClassicalCode.random(3, 2, seed=seed + 1) assert alpha_syndrome_is_valid(codes.HGPCode(code_a, code_b)) - # EdgeColoringXZ strategy + # AlphaSyndrome does not support non-CSS codes with pytest.raises(ValueError, match="only supports CSS codes"): - circuits.AlphaSyndrome( - circuits.DepolarizingNoiseModel(0.001), - "trivial", - iters_per_step=2, - shots_per_iter=5, - custom_decoders={"trivial": TrivialDecoder()}, - ).get_circuit(codes.FiveQubitCode()) + strategy = circuits.AlphaSyndrome(circuits.DepolarizingNoiseModel(0.001), "decoder_name") + strategy.get_circuit(codes.FiveQubitCode()) def alpha_syndrome_is_valid( From a4b4a7a06c622fd3ab1e8e359e5bdf49693cb7dc Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 10:31:10 -0400 Subject: [PATCH 27/71] remap qubits directly --- src/qldpc/circuits/alpha_syndrome.py | 4 ++-- src/qldpc/circuits/bookkeeping.py | 4 ---- 2 files changed, 2 insertions(+), 6 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index b89fe456d..5161321c1 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -33,7 +33,7 @@ from qldpc.objects import Node, Pauli, PauliXZ from .bookkeeping import MeasurementRecord, QubitIDs -from .common import restrict_to_qubits +from .common import restrict_to_qubits, with_remapped_qubits from .noise_model import NoiseModel from .syndrome_measurement import SyndromeMeasurementStrategy @@ -112,7 +112,7 @@ def get_circuit( circuit.append("MX", range(len(code), len(code) + code.num_checks)) # remap qubits and return the circuit together with a measurement record - circuit = qubit_ids.with_remapped_qubits(circuit) + circuit = with_remapped_qubits(circuit, qubit_ids.data + qubit_ids.check) record = MeasurementRecord({qubit: [mm] for mm, qubit in enumerate(qubit_ids.check)}) return circuit, record diff --git a/src/qldpc/circuits/bookkeeping.py b/src/qldpc/circuits/bookkeeping.py index fe9ad7db7..1e329100e 100644 --- a/src/qldpc/circuits/bookkeeping.py +++ b/src/qldpc/circuits/bookkeeping.py @@ -96,10 +96,6 @@ def add_ancillas(self, number: int) -> None: start = self.max() + 1 self.ancilla += tuple(range(start, start + number)) - def with_remapped_qubits(self, circuit: stim.Circuit) -> stim.Circuit: - """Remap qubits from their default indices.""" - return with_remapped_qubits(circuit, self.data + self.check + self.ancilla, inverse=True) - class Record(Mapping[Hashable, list[int]]): """An organized record of events in a Stim circuit. From fa024c3c45fe73b4c277a360407559fa0a7994f3 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 10:33:03 -0400 Subject: [PATCH 28/71] fix coverage --- src/qldpc/circuits/alpha_syndrome.py | 4 ++-- src/qldpc/codes/common.py | 5 ----- 2 files changed, 2 insertions(+), 7 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 5161321c1..7e119f19e 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -185,8 +185,8 @@ def _get_evaluation_circuit( circuit += self._get_circuit_from_schedule(gates, basis) circuit += opposite_basis_measurements - num_stabilizers = code.get_num_checks(opposite_basis) - num_observables = code.dimension + num_stabilizers = len(stabilizers) + num_observables = len(logical_ops) num_measurements = num_stabilizers + num_observables for ii in range(num_stabilizers): meas_index = -num_measurements + ii diff --git a/src/qldpc/codes/common.py b/src/qldpc/codes/common.py index d7ba259fc..345017ec6 100644 --- a/src/qldpc/codes/common.py +++ b/src/qldpc/codes/common.py @@ -2187,11 +2187,6 @@ def num_checks_z(self) -> int: """Number of Z-type parity checks in this code.""" return self.matrix_z.shape[0] - def get_num_checks(self, pauli: PauliXZ) -> int: - """Number of parity checks of a given type in this code.""" - assert pauli in PAULIS_XZ - return self.num_checks_x if pauli is Pauli.X else self.num_checks_z - @property def num_checks(self) -> int: """Number of parity checks in this code.""" From bd1793e7ad056d7a46b707eee3c645db502b5a61 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 10:33:49 -0400 Subject: [PATCH 29/71] remove unused import --- src/qldpc/circuits/bookkeeping.py | 2 -- 1 file changed, 2 deletions(-) diff --git a/src/qldpc/circuits/bookkeeping.py b/src/qldpc/circuits/bookkeeping.py index 1e329100e..3c76dd179 100644 --- a/src/qldpc/circuits/bookkeeping.py +++ b/src/qldpc/circuits/bookkeeping.py @@ -30,8 +30,6 @@ from qldpc import codes -from .common import with_remapped_qubits - @dataclasses.dataclass class QubitIDs: From a9f520f4901031c199a56f7035c8fcca25c31955 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 10:47:53 -0400 Subject: [PATCH 30/71] renaming and comments --- src/qldpc/circuits/alpha_syndrome.py | 28 +++++++++++++++++++++------- 1 file changed, 21 insertions(+), 7 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 7e119f19e..573bd1e0c 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -221,29 +221,43 @@ def __init__(self, state: TreeState, parent: TreeNode | None = None): @property def is_terminal(self) -> bool: + """Is this a terminal node of the tree, which specifies a complete schedule?""" return self.state.is_terminal @property def is_fully_expanded(self) -> bool: + """Have we constructed all children of this node?""" return len(self.unvisited) == 0 - def expand(self, checks: Sequence[tuple[int, int]]) -> TreeNode: - next_state = self.state.select(checks, self.unvisited.pop()) - child_node = TreeNode(next_state, self) + def expand(self, gates: Sequence[tuple[int, int]]) -> TreeNode: + """Construct a child of this node.""" + child_state = self.state.select(gates, self.unvisited.pop()) + child_node = TreeNode(child_state, self) self.children.append(child_node) return child_node - def backpropagate(self, result: float) -> None: + def backpropagate(self, reward: float) -> None: + """Increase the value of this node and all of its parents.""" self.visits += 1 - self.value += result + self.value += reward if self.parent: - self.parent.backpropagate(result) + self.parent.backpropagate(reward) def rollout(self, gates: Sequence[tuple[int, int]]) -> GateSchedule: + """Schedule any unscheduled gates at random, and return a complete gate schedule.""" + # select transitions at random to assign each unscheduled gate a time index current_state = self.state while not current_state.is_terminal: current_state = current_state.select(gates, random.choice(current_state.transitions())) - return _group_items_by_sorted_values(gates, current_state.gate_to_time) + gate_to_time = current_state.gate_to_time + + # collect gates according to their time index + time_to_gates: dict[int, list[tuple[int, int]]] = collections.defaultdict(list) + for gate, time in zip(gates, gate_to_time): + time_to_gates[time].append(gate) + + # return a schedule of gates: a list whose t-th index is a list of gates to apply at time t + return [time_to_gates[time] for time in sorted(time_to_gates.keys())] def best_child(self, exploration_weight: float) -> TreeNode: def ucb_score(child: TreeNode) -> float: From 582faf28e2ca7cb23e3db549eee62698bd19360c Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 10:59:52 -0400 Subject: [PATCH 31/71] remove unused method --- src/qldpc/circuits/alpha_syndrome.py | 9 --------- 1 file changed, 9 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 573bd1e0c..4b3e387c9 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -308,15 +308,6 @@ def select(self, gates: Sequence[tuple[int, int]], gate_index: int) -> TreeState return TreeState(gate_to_time, min_time_for_qubit) -def _group_items_by_sorted_values(items: Sequence[T], values: Sequence[int]) -> list[list[T]]: - """Group items by associated values, and return groups of items in order of increasing value.""" - assert len(items) == len(values) - value_to_items: dict[int, list[T]] = collections.defaultdict(list) - for item, value in zip(items, values): - value_to_items[value].append(item) - return [value_to_items[value] for value in sorted(value_to_items.keys())] - - def _get_pauli_product_measurements(op_matrix: npt.NDArray[np.int_]) -> stim.Circuit: """Construct a circuit that measures Pauli strings represented by the rows of a matrix. From baf2ca68d765a8af71e51c88c42b6fef79728eff Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 11:12:42 -0400 Subject: [PATCH 32/71] make TreeNode agnostic to the MCTS problem --- src/qldpc/circuits/alpha_syndrome.py | 60 ++++++++++++++++------------ 1 file changed, 34 insertions(+), 26 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 4b3e387c9..ee3ba67cd 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -133,10 +133,10 @@ def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> GateSchedule: gates = [(check.index + len(code), data.index) for data, check in map(sorted, graph.edges)] # schedule gates with MCTS - node = TreeNode(TreeState.head(len(gates), code.num_qubits + code.num_checks)) + node = TreeNode(TreeState.head(gates)) while not node.is_terminal: node = self._schedule_step(code, basis, node, gates) - return node.rollout(gates) + return node.rollout().to_schedule() def _schedule_step( self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode, gates: Sequence[tuple[int, int]] @@ -147,9 +147,9 @@ def _schedule_step( while not node.is_terminal and node.is_fully_expanded: node = node.best_child(self.exploration_weight) if not node.is_terminal: - node = node.expand(gates) + node = node.expand() - scheduled_gates = node.rollout(gates) + scheduled_gates = node.rollout().to_schedule() circuit = self._get_evaluation_circuit(code, basis, scheduled_gates) noisy_circuit = self.noise_model.noisy_circuit( circuit, immune_qubits=range(code.num_qubits), insert_ticks=False @@ -229,9 +229,9 @@ def is_fully_expanded(self) -> bool: """Have we constructed all children of this node?""" return len(self.unvisited) == 0 - def expand(self, gates: Sequence[tuple[int, int]]) -> TreeNode: + def expand(self) -> TreeNode: """Construct a child of this node.""" - child_state = self.state.select(gates, self.unvisited.pop()) + child_state = self.state.select(self.unvisited.pop()) child_node = TreeNode(child_state, self) self.children.append(child_node) return child_node @@ -243,21 +243,12 @@ def backpropagate(self, reward: float) -> None: if self.parent: self.parent.backpropagate(reward) - def rollout(self, gates: Sequence[tuple[int, int]]) -> GateSchedule: - """Schedule any unscheduled gates at random, and return a complete gate schedule.""" - # select transitions at random to assign each unscheduled gate a time index - current_state = self.state - while not current_state.is_terminal: - current_state = current_state.select(gates, random.choice(current_state.transitions())) - gate_to_time = current_state.gate_to_time - - # collect gates according to their time index - time_to_gates: dict[int, list[tuple[int, int]]] = collections.defaultdict(list) - for gate, time in zip(gates, gate_to_time): - time_to_gates[time].append(gate) - - # return a schedule of gates: a list whose t-th index is a list of gates to apply at time t - return [time_to_gates[time] for time in sorted(time_to_gates.keys())] + def rollout(self) -> TreeState: + """Select transitions at random until we reach a terminal node, and return its state.""" + state = self.state + while not state.is_terminal: + state = state.select(random.choice(state.transitions())) + return state def best_child(self, exploration_weight: float) -> TreeNode: def ucb_score(child: TreeNode) -> float: @@ -272,13 +263,16 @@ def ucb_score(child: TreeNode) -> float: @dataclass(slots=True) class TreeState: + gates: list[tuple[int, int]] gate_to_time: list[int] # time index for each gate. -1 for unscheduled gates min_time_for_qubit: list[int] # minimum time index for a new gate on a qubit @staticmethod - def head(num_gates: int, num_qubits: int) -> TreeState: + def head(gates: Sequence[tuple[int, int]]) -> TreeState: """The head node for a scheduling tree.""" - return TreeState([-1] * num_gates, [0] * num_qubits) + num_gates = len(gates) + num_qubits = max(target for gate in gates for target in gate) + 1 + return TreeState(list(gates), [-1] * num_gates, [0] * num_qubits) @property def is_terminal(self) -> bool: @@ -293,9 +287,9 @@ def transitions(self) -> list[int]: if time_index == -1 ] - def select(self, gates: Sequence[tuple[int, int]], gate_index: int) -> TreeState: + def select(self, gate_index: int) -> TreeState: """Append the given gate (by index).""" - pp, qq = gates[gate_index] # gate targets + pp, qq = self.gates[gate_index] # gate targets time_index = max(self.min_time_for_qubit[pp], self.min_time_for_qubit[qq]) gate_to_time = self.gate_to_time.copy() @@ -305,7 +299,21 @@ def select(self, gates: Sequence[tuple[int, int]], gate_index: int) -> TreeState min_time_for_qubit[pp] = time_index min_time_for_qubit[qq] = time_index - return TreeState(gate_to_time, min_time_for_qubit) + return TreeState(self.gates, gate_to_time, min_time_for_qubit) + + def to_schedule(self) -> GateSchedule: + """Convert this TreeState into a gate schedule. + + The schedule is provided as a list whose t-th entry is a list of gates to apply at time t. + Unscheduled gates are excluded from the returned schedule. + """ + # collect gates according to their time index + time_to_gates: dict[int, list[tuple[int, int]]] = collections.defaultdict(list) + for gate, time in zip(self.gates, self.gate_to_time): + time_to_gates[time].append(gate) + + # return a schedule of gates: a list whose t-th index is a list of gates to apply at time t + return [time_to_gates[time] for time in sorted(time_to_gates.keys()) if time != -1] def _get_pauli_product_measurements(op_matrix: npt.NDArray[np.int_]) -> stim.Circuit: From e2868225846cc3b9056d643c1b354432c40d5e53 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 11:22:49 -0400 Subject: [PATCH 33/71] add docstrings --- src/qldpc/circuits/alpha_syndrome.py | 11 ++++++++++- 1 file changed, 10 insertions(+), 1 deletion(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index ee3ba67cd..982db717d 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -207,7 +207,11 @@ def _get_evaluation_circuit( class TreeNode: - """Node of a tree for Monte Carlo tree search (MCTS).""" + """Node of a tree for Monte Carlo tree search (MCTS). + + References: + - https://en.wikipedia.org/wiki/Monte_Carlo_tree_search + """ def __init__(self, state: TreeState, parent: TreeNode | None = None): self.state = state @@ -251,6 +255,9 @@ def rollout(self) -> TreeState: return state def best_child(self, exploration_weight: float) -> TreeNode: + """Select a child of this node with the highest UCB score.""" + assert self.children + def ucb_score(child: TreeNode) -> float: if child.visits == 0: return float("inf") # pragma: no cover @@ -263,6 +270,8 @@ def ucb_score(child: TreeNode) -> float: @dataclass(slots=True) class TreeState: + """The state of an MCTS tree, representing a (possibly incomplete) gate schedule.""" + gates: list[tuple[int, int]] gate_to_time: list[int] # time index for each gate. -1 for unscheduled gates min_time_for_qubit: list[int] # minimum time index for a new gate on a qubit From 57aa8e75aa8ad98904e1955d297390f933d476b5 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 11:28:19 -0400 Subject: [PATCH 34/71] comments and renaming --- src/qldpc/circuits/alpha_syndrome.py | 27 +++++++++++++++------------ 1 file changed, 15 insertions(+), 12 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 982db717d..aafa2b173 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -209,6 +209,9 @@ def _get_evaluation_circuit( class TreeNode: """Node of a tree for Monte Carlo tree search (MCTS). + TreeNode is agnostic to the problem being solved by MCTS. + All problem data is handled by the TreeState. + References: - https://en.wikipedia.org/wiki/Monte_Carlo_tree_search """ @@ -274,14 +277,14 @@ class TreeState: gates: list[tuple[int, int]] gate_to_time: list[int] # time index for each gate. -1 for unscheduled gates - min_time_for_qubit: list[int] # minimum time index for a new gate on a qubit + min_time_for_target: list[int] # minimum time index for a new gate on a target @staticmethod def head(gates: Sequence[tuple[int, int]]) -> TreeState: - """The head node for a scheduling tree.""" + """A TreeState in which no gates have been scheduled.""" num_gates = len(gates) - num_qubits = max(target for gate in gates for target in gate) + 1 - return TreeState(list(gates), [-1] * num_gates, [0] * num_qubits) + num_targets = max(target for gate in gates for target in gate) + 1 + return TreeState(list(gates), [-1] * num_gates, [0] * num_targets) @property def is_terminal(self) -> bool: @@ -289,7 +292,7 @@ def is_terminal(self) -> bool: return -1 not in self.gate_to_time def transitions(self) -> list[int]: - """List of gates (by index) that still need to be scheduled.""" + """The indices of gates that still need to be scheduled.""" return [ gate_index for gate_index, time_index in enumerate(self.gate_to_time) @@ -297,18 +300,18 @@ def transitions(self) -> list[int]: ] def select(self, gate_index: int) -> TreeState: - """Append the given gate (by index).""" - pp, qq = self.gates[gate_index] # gate targets - time_index = max(self.min_time_for_qubit[pp], self.min_time_for_qubit[qq]) + """Append the gate at the given index to the gate schedule.""" + target_a, target_b = self.gates[gate_index] + time_index = max(self.min_time_for_target[target_a], self.min_time_for_target[target_b]) gate_to_time = self.gate_to_time.copy() gate_to_time[gate_index] = time_index - min_time_for_qubit = self.min_time_for_qubit.copy() - min_time_for_qubit[pp] = time_index - min_time_for_qubit[qq] = time_index + min_time_for_target = self.min_time_for_target.copy() + min_time_for_target[target_a] = time_index + min_time_for_target[target_b] = time_index - return TreeState(self.gates, gate_to_time, min_time_for_qubit) + return TreeState(self.gates, gate_to_time, min_time_for_target) def to_schedule(self) -> GateSchedule: """Convert this TreeState into a gate schedule. From 4c061c09d10b436dacd6e8d614c1b86e8313096a Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 11:30:33 -0400 Subject: [PATCH 35/71] scheduling bugfix --- src/qldpc/circuits/alpha_syndrome.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index aafa2b173..e40e97b06 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -308,8 +308,8 @@ def select(self, gate_index: int) -> TreeState: gate_to_time[gate_index] = time_index min_time_for_target = self.min_time_for_target.copy() - min_time_for_target[target_a] = time_index - min_time_for_target[target_b] = time_index + min_time_for_target[target_a] = time_index + 1 + min_time_for_target[target_b] = time_index + 1 return TreeState(self.gates, gate_to_time, min_time_for_target) From a3412d64fe806e4f8bb27723d30008538ac5a0d8 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 11:31:19 -0400 Subject: [PATCH 36/71] nit rename --- src/qldpc/circuits/alpha_syndrome.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index e40e97b06..c2567bc84 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -277,7 +277,7 @@ class TreeState: gates: list[tuple[int, int]] gate_to_time: list[int] # time index for each gate. -1 for unscheduled gates - min_time_for_target: list[int] # minimum time index for a new gate on a target + target_to_min_time: list[int] # minimum time index for a new gate on a target @staticmethod def head(gates: Sequence[tuple[int, int]]) -> TreeState: @@ -302,12 +302,12 @@ def transitions(self) -> list[int]: def select(self, gate_index: int) -> TreeState: """Append the gate at the given index to the gate schedule.""" target_a, target_b = self.gates[gate_index] - time_index = max(self.min_time_for_target[target_a], self.min_time_for_target[target_b]) + time_index = max(self.target_to_min_time[target_a], self.target_to_min_time[target_b]) gate_to_time = self.gate_to_time.copy() gate_to_time[gate_index] = time_index - min_time_for_target = self.min_time_for_target.copy() + min_time_for_target = self.target_to_min_time.copy() min_time_for_target[target_a] = time_index + 1 min_time_for_target[target_b] = time_index + 1 From bf3566a4d81bfcc4dfe7fdf98649fca3c8d72f91 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 11:32:49 -0400 Subject: [PATCH 37/71] not property --- src/qldpc/circuits/alpha_syndrome.py | 13 +++++-------- 1 file changed, 5 insertions(+), 8 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index c2567bc84..e467aaf72 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -134,7 +134,7 @@ def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> GateSchedule: # schedule gates with MCTS node = TreeNode(TreeState.head(gates)) - while not node.is_terminal: + while not node.is_terminal(): node = self._schedule_step(code, basis, node, gates) return node.rollout().to_schedule() @@ -144,9 +144,9 @@ def _schedule_step( iterations = max(0, self.iters_per_step - root.visits) for _ in range(iterations): node = root - while not node.is_terminal and node.is_fully_expanded: + while not node.is_terminal() and node.is_fully_expanded(): node = node.best_child(self.exploration_weight) - if not node.is_terminal: + if not node.is_terminal(): node = node.expand() scheduled_gates = node.rollout().to_schedule() @@ -226,12 +226,10 @@ def __init__(self, state: TreeState, parent: TreeNode | None = None): self.visits = 0 self.value = 0.0 - @property def is_terminal(self) -> bool: """Is this a terminal node of the tree, which specifies a complete schedule?""" - return self.state.is_terminal + return self.state.is_terminal() - @property def is_fully_expanded(self) -> bool: """Have we constructed all children of this node?""" return len(self.unvisited) == 0 @@ -253,7 +251,7 @@ def backpropagate(self, reward: float) -> None: def rollout(self) -> TreeState: """Select transitions at random until we reach a terminal node, and return its state.""" state = self.state - while not state.is_terminal: + while not state.is_terminal(): state = state.select(random.choice(state.transitions())) return state @@ -286,7 +284,6 @@ def head(gates: Sequence[tuple[int, int]]) -> TreeState: num_targets = max(target for gate in gates for target in gate) + 1 return TreeState(list(gates), [-1] * num_gates, [0] * num_targets) - @property def is_terminal(self) -> bool: """Have all gates been scheduled?""" return -1 not in self.gate_to_time From 3f23cb7010cd28e4892b4d62db85c6b23d5553e0 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 11:44:27 -0400 Subject: [PATCH 38/71] minor typing cleanup --- src/qldpc/circuits/alpha_syndrome.py | 8 +++----- 1 file changed, 3 insertions(+), 5 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index e467aaf72..a048b0f6c 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -117,9 +117,7 @@ def get_circuit( return circuit, record @staticmethod - def _get_circuit_from_schedule( - schedule: Sequence[Sequence[tuple[int, int]]], basis: PauliXZ - ) -> stim.Circuit: + def _get_circuit_from_schedule(schedule: GateSchedule, basis: PauliXZ) -> stim.Circuit: circuit = stim.Circuit("TICK") for gates in schedule: for gate in gates: @@ -170,7 +168,7 @@ def _schedule_step( return root.best_child(exploration_weight=0) def _get_evaluation_circuit( - self, code: codes.CSSCode, basis: PauliXZ, gates: Sequence[Sequence[tuple[int, int]]] + self, code: codes.CSSCode, basis: PauliXZ, schedule: GateSchedule ) -> stim.Circuit: # stabilizers and logical operators in the opposite basis @@ -182,7 +180,7 @@ def _get_evaluation_circuit( circuit = stim.Circuit() circuit += opposite_basis_measurements - circuit += self._get_circuit_from_schedule(gates, basis) + circuit += self._get_circuit_from_schedule(schedule, basis) circuit += opposite_basis_measurements num_stabilizers = len(stabilizers) From c8d141c71170160753679ffad74471f0a95cc499 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 11:47:29 -0400 Subject: [PATCH 39/71] minor rearranging --- src/qldpc/circuits/alpha_syndrome.py | 25 +++++++++++++------------ 1 file changed, 13 insertions(+), 12 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index a048b0f6c..ca1e09508 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -107,8 +107,8 @@ def get_circuit( # construct a circuit from the gate schedules circuit = stim.Circuit() circuit.append("RX", range(len(code), len(code) + code.num_checks)) - circuit += self._get_circuit_from_schedule(schedule_cx, Pauli.X) - circuit += self._get_circuit_from_schedule(schedule_cz, Pauli.Z) + circuit += _schedule_to_circuit(schedule_cx, Pauli.X) + circuit += _schedule_to_circuit(schedule_cz, Pauli.Z) circuit.append("MX", range(len(code), len(code) + code.num_checks)) # remap qubits and return the circuit together with a measurement record @@ -116,15 +116,6 @@ def get_circuit( record = MeasurementRecord({qubit: [mm] for mm, qubit in enumerate(qubit_ids.check)}) return circuit, record - @staticmethod - def _get_circuit_from_schedule(schedule: GateSchedule, basis: PauliXZ) -> stim.Circuit: - circuit = stim.Circuit("TICK") - for gates in schedule: - for gate in gates: - circuit.append(f"C{basis}", gate) - circuit.append("TICK") - return circuit - def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> GateSchedule: # identify gates that need to be cheduled graph = code.get_graph(basis) @@ -180,7 +171,7 @@ def _get_evaluation_circuit( circuit = stim.Circuit() circuit += opposite_basis_measurements - circuit += self._get_circuit_from_schedule(schedule, basis) + circuit += _schedule_to_circuit(schedule, basis) circuit += opposite_basis_measurements num_stabilizers = len(stabilizers) @@ -341,3 +332,13 @@ def _get_pauli_product_measurements(op_matrix: npt.NDArray[np.int_]) -> stim.Cir circuit.append("TICK") return circuit + + +def _schedule_to_circuit(schedule: GateSchedule, target_pauli: Pauli) -> stim.Circuit: + """Convert a schedule of controlled-Pauli gates into a circuit.""" + circuit = stim.Circuit("TICK") + for gates in schedule: + for gate in gates: + circuit.append(f"C{target_pauli}", gate) + circuit.append("TICK") + return circuit From 0919f4dfed6048da9947b18f3fedb4ae5883cedb Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 12:07:23 -0400 Subject: [PATCH 40/71] add comments --- src/qldpc/circuits/alpha_syndrome.py | 40 +++++++++++++++++----------- 1 file changed, 24 insertions(+), 16 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index ca1e09508..51dc3aa4c 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -34,7 +34,7 @@ from .bookkeeping import MeasurementRecord, QubitIDs from .common import restrict_to_qubits, with_remapped_qubits -from .noise_model import NoiseModel +from .noise_model import NoiseModel, as_noiseless_circuit from .syndrome_measurement import SyndromeMeasurementStrategy T = TypeVar("T") @@ -101,8 +101,8 @@ def get_circuit( qubit_ids = qubit_ids or QubitIDs.from_code(code) # the heavy lifting: schedule gates - schedule_cx = self._get_schedule(code, Pauli.X) - schedule_cz = self._get_schedule(code, Pauli.Z) + schedule_cx = self._build_schedule(code, Pauli.X) + schedule_cz = self._build_schedule(code, Pauli.Z) # construct a circuit from the gate schedules circuit = stim.Circuit() @@ -116,20 +116,21 @@ def get_circuit( record = MeasurementRecord({qubit: [mm] for mm, qubit in enumerate(qubit_ids.check)}) return circuit, record - def _get_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> GateSchedule: - # identify gates that need to be cheduled + def _build_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> GateSchedule: + """Schedule the gates that extract basis-type stabilizers of a CSS code.""" + # identify gates that need to be scheduled, as (control, target) pairs graph = code.get_graph(basis) gates = [(check.index + len(code), data.index) for data, check in map(sorted, graph.edges)] # schedule gates with MCTS node = TreeNode(TreeState.head(gates)) while not node.is_terminal(): - node = self._schedule_step(code, basis, node, gates) - return node.rollout().to_schedule() + node = self._schedule_step(code, basis, node) - def _schedule_step( - self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode, gates: Sequence[tuple[int, int]] - ) -> TreeNode: + # convert the final tree node into a gate schedule + return node.state.to_schedule() + + def _schedule_step(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode) -> TreeNode: iterations = max(0, self.iters_per_step - root.visits) for _ in range(iterations): node = root @@ -161,22 +162,29 @@ def _schedule_step( def _get_evaluation_circuit( self, code: codes.CSSCode, basis: PauliXZ, schedule: GateSchedule ) -> stim.Circuit: + """Build the circuit used to evaluate a gate schedule. + + Assume without loss of generality that basis is Pauli.X. The evaluation circuit penalizes + Z-type logical operator flips when reading out X-type stabilizers. + """ - # stabilizers and logical operators in the opposite basis + # noiseless measurement of stabilizers and logical operators in the opposite basis opposite_basis = Pauli.swap_xz(basis) stabilizers = code.get_stabilizer_ops(opposite_basis, symplectic=True) logical_ops = code.get_logical_ops(opposite_basis, symplectic=True) opposite_basis_ops = np.vstack([stabilizers, logical_ops]) - opposite_basis_measurements = _get_pauli_product_measurements(opposite_basis_ops) + opposite_basis_measurements = as_noiseless_circuit( + _get_pauli_product_measurements(opposite_basis_ops) + ) + num_stabilizers = len(stabilizers) + num_observables = len(logical_ops) + num_measurements = num_stabilizers + num_observables + # if reading out (say) X-type stabilizers, detect Z-type stabilizer and observable flips circuit = stim.Circuit() circuit += opposite_basis_measurements circuit += _schedule_to_circuit(schedule, basis) circuit += opposite_basis_measurements - - num_stabilizers = len(stabilizers) - num_observables = len(logical_ops) - num_measurements = num_stabilizers + num_observables for ii in range(num_stabilizers): meas_index = -num_measurements + ii circuit.append( From 11bd3e054a2571fa4cf81233cc38c20f20912e29 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 12:07:46 -0400 Subject: [PATCH 41/71] nit rearrangement --- src/qldpc/circuits/alpha_syndrome.py | 20 ++++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 51dc3aa4c..bbf51f87c 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -322,6 +322,16 @@ def to_schedule(self) -> GateSchedule: return [time_to_gates[time] for time in sorted(time_to_gates.keys()) if time != -1] +def _schedule_to_circuit(schedule: GateSchedule, target_pauli: Pauli) -> stim.Circuit: + """Convert a schedule of controlled-Pauli gates into a circuit.""" + circuit = stim.Circuit("TICK") + for gates in schedule: + for gate in gates: + circuit.append(f"C{target_pauli}", gate) + circuit.append("TICK") + return circuit + + def _get_pauli_product_measurements(op_matrix: npt.NDArray[np.int_]) -> stim.Circuit: """Construct a circuit that measures Pauli strings represented by the rows of a matrix. @@ -340,13 +350,3 @@ def _get_pauli_product_measurements(op_matrix: npt.NDArray[np.int_]) -> stim.Cir circuit.append("TICK") return circuit - - -def _schedule_to_circuit(schedule: GateSchedule, target_pauli: Pauli) -> stim.Circuit: - """Convert a schedule of controlled-Pauli gates into a circuit.""" - circuit = stim.Circuit("TICK") - for gates in schedule: - for gate in gates: - circuit.append(f"C{target_pauli}", gate) - circuit.append("TICK") - return circuit From 647d41d642bc6643af6f8243e09be1179b4fd7e5 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 12:07:58 -0400 Subject: [PATCH 42/71] remove unnecessary TICK --- src/qldpc/circuits/alpha_syndrome.py | 1 - 1 file changed, 1 deletion(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index bbf51f87c..a647e979e 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -347,6 +347,5 @@ def _get_pauli_product_measurements(op_matrix: npt.NDArray[np.int_]) -> stim.Cir for _, data_node, edge_data in op_graph.edges(observable_node, data=True) ] circuit.append("MPP", stim.target_combined_paulis(targets)) - circuit.append("TICK") return circuit From 2142eed9e6fb96f426c370716744df779f8416ef Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 12:09:06 -0400 Subject: [PATCH 43/71] None instead of -1 --- src/qldpc/circuits/alpha_syndrome.py | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index a647e979e..1d9b28670 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -271,7 +271,7 @@ class TreeState: """The state of an MCTS tree, representing a (possibly incomplete) gate schedule.""" gates: list[tuple[int, int]] - gate_to_time: list[int] # time index for each gate. -1 for unscheduled gates + gate_to_time: list[int | None] # time index for each gate, or None for unscheduled gates target_to_min_time: list[int] # minimum time index for a new gate on a target @staticmethod @@ -279,18 +279,18 @@ def head(gates: Sequence[tuple[int, int]]) -> TreeState: """A TreeState in which no gates have been scheduled.""" num_gates = len(gates) num_targets = max(target for gate in gates for target in gate) + 1 - return TreeState(list(gates), [-1] * num_gates, [0] * num_targets) + return TreeState(list(gates), [None] * num_gates, [0] * num_targets) def is_terminal(self) -> bool: """Have all gates been scheduled?""" - return -1 not in self.gate_to_time + return None not in self.gate_to_time def transitions(self) -> list[int]: """The indices of gates that still need to be scheduled.""" return [ gate_index for gate_index, time_index in enumerate(self.gate_to_time) - if time_index == -1 + if time_index is None ] def select(self, gate_index: int) -> TreeState: @@ -319,7 +319,7 @@ def to_schedule(self) -> GateSchedule: time_to_gates[time].append(gate) # return a schedule of gates: a list whose t-th index is a list of gates to apply at time t - return [time_to_gates[time] for time in sorted(time_to_gates.keys()) if time != -1] + return [time_to_gates[time] for time in sorted(time_to_gates.keys()) if time is not None] def _schedule_to_circuit(schedule: GateSchedule, target_pauli: Pauli) -> stim.Circuit: From db7e9d1312da9de1799713891c0cce6a148bad82 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 12:14:40 -0400 Subject: [PATCH 44/71] rename to standard MCTS language --- src/qldpc/circuits/alpha_syndrome.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 1d9b28670..4f22acb7e 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -139,7 +139,7 @@ def _schedule_step(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode) -> if not node.is_terminal(): node = node.expand() - scheduled_gates = node.rollout().to_schedule() + scheduled_gates = node.simulate().to_schedule() circuit = self._get_evaluation_circuit(code, basis, scheduled_gates) noisy_circuit = self.noise_model.noisy_circuit( circuit, immune_qubits=range(code.num_qubits), insert_ticks=False @@ -245,7 +245,7 @@ def backpropagate(self, reward: float) -> None: if self.parent: self.parent.backpropagate(reward) - def rollout(self) -> TreeState: + def simulate(self) -> TreeState: """Select transitions at random until we reach a terminal node, and return its state.""" state = self.state while not state.is_terminal(): From 5d09872866f6b7615901e98112aa81bc072933e0 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 12:37:37 -0400 Subject: [PATCH 45/71] add comments --- src/qldpc/circuits/alpha_syndrome.py | 30 +++++++++++++++++----------- 1 file changed, 18 insertions(+), 12 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 4f22acb7e..c4994527d 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -125,37 +125,43 @@ def _build_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> GateSchedule: # schedule gates with MCTS node = TreeNode(TreeState.head(gates)) while not node.is_terminal(): - node = self._schedule_step(code, basis, node) + node = self._schedule_one_gate(code, basis, node) # convert the final tree node into a gate schedule return node.state.to_schedule() - def _schedule_step(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode) -> TreeNode: + def _schedule_one_gate(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode) -> TreeNode: iterations = max(0, self.iters_per_step - root.visits) for _ in range(iterations): + # Starting from the root node, explore down through fully expanded non-terminal nodes. + # If we end at a non-terminal node that is not fully expanded, expand once. node = root - while not node.is_terminal() and node.is_fully_expanded(): + while node.is_fully_expanded() and not node.is_terminal(): node = node.best_child(self.exploration_weight) if not node.is_terminal(): node = node.expand() - scheduled_gates = node.simulate().to_schedule() - circuit = self._get_evaluation_circuit(code, basis, scheduled_gates) - noisy_circuit = self.noise_model.noisy_circuit( - circuit, immune_qubits=range(code.num_qubits), insert_ticks=False + # Construct a (randomly completed) schedule from the current node, build an evaluation + # circuit for the schedule, and inject noise into the circuit. + schedule = node.simulate().to_schedule() + evaluation_circuit = self._get_evaluation_circuit(code, basis, schedule) + noisy_evaluation_circuit = self.noise_model.noisy_circuit( + evaluation_circuit, immune_qubits=range(code.num_qubits), insert_ticks=False ) - sampler = noisy_circuit.compile_detector_sampler() + # sample detection events and observable flips from the evaluation circuit + sampler = noisy_evaluation_circuit.compile_detector_sampler() dets, observable_flips = sampler.sample(self.shots_per_iter, separate_observables=True) - dem = noisy_circuit.detector_error_model( + + # penalize logical errors: disagreements in observable flips vs. decoding predictions + dem = noisy_evaluation_circuit.detector_error_model( decompose_errors=True, ignore_decomposition_failures=True ) - predictions = sinter.predict_observables( dem=dem, dets=dets, decoder=self.decoder, custom_decoders=self.custom_decoders ) - result = np.sum(np.any(predictions != observable_flips, axis=1)) - node.backpropagate(self.shots_per_iter / (result + 1)) + num_logical_errors = np.sum(np.any(predictions != observable_flips, axis=1)) + node.backpropagate(self.shots_per_iter / (num_logical_errors + 1)) return root.best_child(exploration_weight=0) From d93efe4a9f2b754b9d8309acc1831c9dd5aac893 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 12:38:49 -0400 Subject: [PATCH 46/71] add docstring --- src/qldpc/circuits/alpha_syndrome.py | 2 ++ 1 file changed, 2 insertions(+) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index c4994527d..b2f00ca56 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -131,6 +131,8 @@ def _build_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> GateSchedule: return node.state.to_schedule() def _schedule_one_gate(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode) -> TreeNode: + """Schedule one gate by penalizing its contribution to logical error rates.""" + iterations = max(0, self.iters_per_step - root.visits) for _ in range(iterations): # Starting from the root node, explore down through fully expanded non-terminal nodes. From 71c74f450d3d989d0cd66e9d442bee6fec960236 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 12:43:56 -0400 Subject: [PATCH 47/71] nit --- src/qldpc/circuits/alpha_syndrome.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index b2f00ca56..340c11745 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -60,7 +60,7 @@ def __init__( custom_decoders: dict[str, sinter.Decoder] | None = None, iters_per_step: int = 8000, shots_per_iter: int = 10000, - exploration_weight: float = 1.4, + exploration_weight: float = math.sqrt(2), ) -> None: """Initialize an EdgeColoringXZ syndrome measurement strategy. @@ -70,7 +70,7 @@ def __init__( custom_decoder: Custom decoders to pass Sinter, if applicable. iters_per_step: iterations per MCTS step (default: 8000). shots_per_iter: number of sampling shots per iteration (default: 10000). - exploration_weight: exploration parameter of MCTS (default: 1.4). + exploration_weight: exploration parameter of MCTS (default: sqrt(2)). """ self.noise_model = noise_model self.decoder = decoder @@ -138,7 +138,7 @@ def _schedule_one_gate(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode # Starting from the root node, explore down through fully expanded non-terminal nodes. # If we end at a non-terminal node that is not fully expanded, expand once. node = root - while node.is_fully_expanded() and not node.is_terminal(): + while not node.is_terminal() and node.is_fully_expanded(): node = node.best_child(self.exploration_weight) if not node.is_terminal(): node = node.expand() From d2242f68ac49da78acad882a157e1b3e8a5c14c6 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 12:45:32 -0400 Subject: [PATCH 48/71] type fix --- src/qldpc/circuits/alpha_syndrome.py | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 340c11745..e6212f5c6 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -324,10 +324,11 @@ def to_schedule(self) -> GateSchedule: # collect gates according to their time index time_to_gates: dict[int, list[tuple[int, int]]] = collections.defaultdict(list) for gate, time in zip(self.gates, self.gate_to_time): - time_to_gates[time].append(gate) + if time is not None: + time_to_gates[time].append(gate) # return a schedule of gates: a list whose t-th index is a list of gates to apply at time t - return [time_to_gates[time] for time in sorted(time_to_gates.keys()) if time is not None] + return [time_to_gates[time] for time in sorted(time_to_gates.keys())] def _schedule_to_circuit(schedule: GateSchedule, target_pauli: Pauli) -> stim.Circuit: From 92e78f34d48574e3c56702c1cef37b9ed3fcdc0f Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 12:57:45 -0400 Subject: [PATCH 49/71] nit test file additions --- src/qldpc/circuits/alpha_syndrome_test.py | 9 +++++++-- 1 file changed, 7 insertions(+), 2 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome_test.py b/src/qldpc/circuits/alpha_syndrome_test.py index db91ffa85..dec2f2a72 100644 --- a/src/qldpc/circuits/alpha_syndrome_test.py +++ b/src/qldpc/circuits/alpha_syndrome_test.py @@ -20,6 +20,7 @@ import random import numpy as np +import numpy.typing as npt import pytest import sinter import stim @@ -29,18 +30,22 @@ class TrivialDecoder(sinter.Decoder): + """Trivial decoder that predicts no observable flips.""" + def compile_decoder_for_dem(self, *, dem: stim.DetectorErrorModel) -> TrivialCompiledDecoder: return TrivialCompiledDecoder(shape=(dem.num_observables + 7) // 8) class TrivialCompiledDecoder(sinter.CompiledDecoder): + """Compiled trivial decoder that predicts no observable flips.""" + def __init__(self, shape: int): self.shape = shape def decode_shots_bit_packed( self, *, - bit_packed_detection_event_data: np.ndarray, + bit_packed_detection_event_data: npt.NDArray[np.uint8], ) -> np.ndarray: return np.zeros( shape=(bit_packed_detection_event_data.shape[0], self.shape), dtype=np.uint8 @@ -76,7 +81,7 @@ def alpha_syndrome_is_valid( custom_decoders={"trivial": TrivialDecoder()}, ), ) -> bool: - """Check the validity of AlphaSyndrome for a given code.""" + """Check that an AlphaSyndrome circuit correctly reads out stabilizers.""" # prepare a logical |0> state state_prep = circuits.get_encoding_circuit(code) From 3466096478ca02b20efb72751d36df0958c7c354 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 17:42:48 -0400 Subject: [PATCH 50/71] remove unused TypeVar --- src/qldpc/circuits/alpha_syndrome.py | 4 ---- 1 file changed, 4 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index e6212f5c6..2efb38b30 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -22,7 +22,6 @@ import random from collections.abc import Sequence from dataclasses import dataclass -from typing import TypeVar import numpy as np import numpy.typing as npt @@ -37,9 +36,6 @@ from .noise_model import NoiseModel, as_noiseless_circuit from .syndrome_measurement import SyndromeMeasurementStrategy -T = TypeVar("T") - - GateSchedule = list[list[tuple[int, int]]] From 3f1ecf68e2ef848a233e2654e53441f63507a12c Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 17:45:11 -0400 Subject: [PATCH 51/71] comment --- src/qldpc/circuits/alpha_syndrome.py | 3 +++ 1 file changed, 3 insertions(+) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 2efb38b30..750335643 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -36,6 +36,9 @@ from .noise_model import NoiseModel, as_noiseless_circuit from .syndrome_measurement import SyndromeMeasurementStrategy +# Scrappy type to represent a gate schedule: +# A list whose t-th entry is a list of gates to apply at time t. +# Here a "gate" is just a pair of target qubits (by index). GateSchedule = list[list[tuple[int, int]]] From 86503342d5cd34c74d0c9d353b626ac95b632cf6 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Wed, 25 Mar 2026 20:48:44 -0400 Subject: [PATCH 52/71] nit comment change --- src/qldpc/circuits/alpha_syndrome.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 750335643..590f3f3fe 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -36,9 +36,9 @@ from .noise_model import NoiseModel, as_noiseless_circuit from .syndrome_measurement import SyndromeMeasurementStrategy -# Scrappy type to represent a gate schedule: +# Scrappy type to represent a schedule of two-qubit gates: # A list whose t-th entry is a list of gates to apply at time t. -# Here a "gate" is just a pair of target qubits (by index). +# For the purposes of this schedule, a "gate" is just an ordered pair of target qubits. GateSchedule = list[list[tuple[int, int]]] From 374725f652bbb36a1b8e6c28ff5d77a036921171 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Thu, 26 Mar 2026 10:03:08 -0400 Subject: [PATCH 53/71] add to docstring --- src/qldpc/circuits/alpha_syndrome.py | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 590f3f3fe..a3250f8b9 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -61,7 +61,10 @@ def __init__( shots_per_iter: int = 10000, exploration_weight: float = math.sqrt(2), ) -> None: - """Initialize an EdgeColoringXZ syndrome measurement strategy. + """Initialize an AlphaSyndrome syndrome measurement strategy, based on arXiv:2601.12509. + + This strategy uses a Monte Carlo tree serch (MCTS) to construct a syndrome measurement + circuit that minimizes logical error rates. Args: noise_model: The noise model append to the syndrome measurement circuit. From 7e00f5afdeb7fe9b1ddc2efb150385c1bc4d1d3e Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Thu, 26 Mar 2026 10:20:16 -0400 Subject: [PATCH 54/71] clean up AlphaSyndrome API for decoding --- src/qldpc/circuits/alpha_syndrome.py | 25 ++++++++++++++++------- src/qldpc/circuits/alpha_syndrome_test.py | 3 +-- 2 files changed, 19 insertions(+), 9 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index a3250f8b9..ae9ded11e 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -55,8 +55,7 @@ class AlphaSyndrome(SyndromeMeasurementStrategy): def __init__( self, noise_model: NoiseModel, - decoder: str, - custom_decoders: dict[str, sinter.Decoder] | None = None, + decoder: sinter.Decoder | str, iters_per_step: int = 8000, shots_per_iter: int = 10000, exploration_weight: float = math.sqrt(2), @@ -66,21 +65,33 @@ def __init__( This strategy uses a Monte Carlo tree serch (MCTS) to construct a syndrome measurement circuit that minimizes logical error rates. + The MCTS requires building and simulating noisy evaluation circuits, which naturally requires + defining a noise model. Computing a logical error rate, in turn, requires specifying a + decoder. The "decoder' and "custom_decoders" arguments to AlphaSyndrome are + Args: noise_model: The noise model append to the syndrome measurement circuit. - decoder: The decoder that Sinter should use to compute logical error rates. - custom_decoder: Custom decoders to pass Sinter, if applicable. + decoder: The decoder that Sinter will use to compute logical error rates. If this + argument is a string, it must must be a decoder name recognized by Sinter, such as + "pymatching" or "fusion_blossom". iters_per_step: iterations per MCTS step (default: 8000). shots_per_iter: number of sampling shots per iteration (default: 10000). exploration_weight: exploration parameter of MCTS (default: sqrt(2)). """ self.noise_model = noise_model - self.decoder = decoder - self.custom_decoders = custom_decoders self.iters_per_step = iters_per_step self.shots_per_iter = shots_per_iter self.exploration_weight = exploration_weight + # keyword arguments passed to sinter.predict_observables + self.sinter_decoding_kwargs: dict[str, str | dict[str, sinter.Decoder]] + if isinstance(decoder, str): + self.sinter_decoding_kwargs = dict(decoder=decoder) + else: + self.sinter_decoding_kwargs = dict( + decoder="custom", custom_decoders=dict(custom=decoder) + ) + @restrict_to_qubits def get_circuit( self, code: codes.QuditCode, qubit_ids: QubitIDs | None = None @@ -162,7 +173,7 @@ def _schedule_one_gate(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode decompose_errors=True, ignore_decomposition_failures=True ) predictions = sinter.predict_observables( - dem=dem, dets=dets, decoder=self.decoder, custom_decoders=self.custom_decoders + dem=dem, dets=dets, **self.sinter_decoding_kwargs ) num_logical_errors = np.sum(np.any(predictions != observable_flips, axis=1)) node.backpropagate(self.shots_per_iter / (num_logical_errors + 1)) diff --git a/src/qldpc/circuits/alpha_syndrome_test.py b/src/qldpc/circuits/alpha_syndrome_test.py index dec2f2a72..6a79613ad 100644 --- a/src/qldpc/circuits/alpha_syndrome_test.py +++ b/src/qldpc/circuits/alpha_syndrome_test.py @@ -75,10 +75,9 @@ def alpha_syndrome_is_valid( code: codes.QuditCode, strategy: circuits.AlphaSyndrome = circuits.AlphaSyndrome( circuits.DepolarizingNoiseModel(0.001), - "trivial", + decoder=TrivialDecoder(), iters_per_step=5, shots_per_iter=5, - custom_decoders={"trivial": TrivialDecoder()}, ), ) -> bool: """Check that an AlphaSyndrome circuit correctly reads out stabilizers.""" From deadc061ae5cbda03ca7eb50bdc61519768428a8 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Thu, 26 Mar 2026 10:31:58 -0400 Subject: [PATCH 55/71] better testing and catch edge case --- src/qldpc/circuits/alpha_syndrome.py | 8 ++++++-- src/qldpc/circuits/alpha_syndrome_test.py | 10 +++++----- 2 files changed, 11 insertions(+), 7 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index ae9ded11e..41a1bcdda 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -145,9 +145,13 @@ def _build_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> GateSchedule: def _schedule_one_gate(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode) -> TreeNode: """Schedule one gate by penalizing its contribution to logical error rates.""" + num_times_to_explore = self.iters_per_step - root.visits - iterations = max(0, self.iters_per_step - root.visits) - for _ in range(iterations): + # catch an edge case that should really only occur in testing + if num_times_to_explore <= 0 and not root.children: + root.expand() + + for _ in range(num_times_to_explore): # Starting from the root node, explore down through fully expanded non-terminal nodes. # If we end at a non-terminal node that is not fully expanded, expand once. node = root diff --git a/src/qldpc/circuits/alpha_syndrome_test.py b/src/qldpc/circuits/alpha_syndrome_test.py index 6a79613ad..f6ec55528 100644 --- a/src/qldpc/circuits/alpha_syndrome_test.py +++ b/src/qldpc/circuits/alpha_syndrome_test.py @@ -76,8 +76,8 @@ def alpha_syndrome_is_valid( strategy: circuits.AlphaSyndrome = circuits.AlphaSyndrome( circuits.DepolarizingNoiseModel(0.001), decoder=TrivialDecoder(), - iters_per_step=5, - shots_per_iter=5, + iters_per_step=1, + shots_per_iter=1, ), ) -> bool: """Check that an AlphaSyndrome circuit correctly reads out stabilizers.""" @@ -91,12 +91,12 @@ def alpha_syndrome_is_valid( error_ops.append(f"{pauli}_error", [qubit], [1]) # measure syndromes - syndrome_extraction, record = strategy.get_circuit(code) + syndrome_extraction_circuit, measurement_record = strategy.get_circuit(code) for check in range(len(code), len(code) + code.num_checks): - syndrome_extraction.append("DETECTOR", record.get_target_rec(check)) + syndrome_extraction_circuit.append("DETECTOR", measurement_record.get_target_rec(check)) # sample the circuit to obtain a syndrome vector - circuit = state_prep + error_ops + syndrome_extraction + circuit = state_prep + error_ops + syndrome_extraction_circuit syndrome = circuit.compile_detector_sampler().sample(1).ravel() # compare against the expected syndrome From 7084f2abb1b64f6ec1c0b07a93b38720852e579f Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Thu, 26 Mar 2026 10:47:23 -0400 Subject: [PATCH 56/71] coverage fix --- src/qldpc/circuits/alpha_syndrome.py | 16 +++++++--------- src/qldpc/circuits/alpha_syndrome_test.py | 2 +- 2 files changed, 8 insertions(+), 10 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 41a1bcdda..1bbd2c174 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -74,8 +74,8 @@ def __init__( decoder: The decoder that Sinter will use to compute logical error rates. If this argument is a string, it must must be a decoder name recognized by Sinter, such as "pymatching" or "fusion_blossom". - iters_per_step: iterations per MCTS step (default: 8000). - shots_per_iter: number of sampling shots per iteration (default: 10000). + iters_per_step: Iterations per MCTS step (default: 8000). + shots_per_iter: Number of times to sample evaluation circuits (default: 10000). exploration_weight: exploration parameter of MCTS (default: sqrt(2)). """ self.noise_model = noise_model @@ -145,13 +145,7 @@ def _build_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> GateSchedule: def _schedule_one_gate(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode) -> TreeNode: """Schedule one gate by penalizing its contribution to logical error rates.""" - num_times_to_explore = self.iters_per_step - root.visits - - # catch an edge case that should really only occur in testing - if num_times_to_explore <= 0 and not root.children: - root.expand() - - for _ in range(num_times_to_explore): + for _ in range(self.iters_per_step - root.visits): # Starting from the root node, explore down through fully expanded non-terminal nodes. # If we end at a non-terminal node that is not fully expanded, expand once. node = root @@ -182,6 +176,10 @@ def _schedule_one_gate(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode num_logical_errors = np.sum(np.any(predictions != observable_flips, axis=1)) node.backpropagate(self.shots_per_iter / (num_logical_errors + 1)) + # pathological edge case: we never explored this root or its children + if not root.children: + root.expand() # pragma: no cover + return root.best_child(exploration_weight=0) def _get_evaluation_circuit( diff --git a/src/qldpc/circuits/alpha_syndrome_test.py b/src/qldpc/circuits/alpha_syndrome_test.py index f6ec55528..024f80b20 100644 --- a/src/qldpc/circuits/alpha_syndrome_test.py +++ b/src/qldpc/circuits/alpha_syndrome_test.py @@ -76,7 +76,7 @@ def alpha_syndrome_is_valid( strategy: circuits.AlphaSyndrome = circuits.AlphaSyndrome( circuits.DepolarizingNoiseModel(0.001), decoder=TrivialDecoder(), - iters_per_step=1, + iters_per_step=3, shots_per_iter=1, ), ) -> bool: From da855462e827c12103a78c64dc4008aec9bc9637 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Thu, 26 Mar 2026 10:47:47 -0400 Subject: [PATCH 57/71] nit comment change --- src/qldpc/circuits/alpha_syndrome.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 1bbd2c174..55240c9cc 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -176,7 +176,7 @@ def _schedule_one_gate(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode num_logical_errors = np.sum(np.any(predictions != observable_flips, axis=1)) node.backpropagate(self.shots_per_iter / (num_logical_errors + 1)) - # pathological edge case: we never explored this root or its children + # pathological edge case: we never explored from this root if not root.children: root.expand() # pragma: no cover From de25a20787f3602effdad21db30726908e8f2d0f Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Thu, 26 Mar 2026 11:08:27 -0400 Subject: [PATCH 58/71] print updates when scheduling AlphaSyndorme gates --- src/qldpc/circuits/alpha_syndrome.py | 23 ++++++++++++++++------- 1 file changed, 16 insertions(+), 7 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 55240c9cc..d93d251a1 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -56,7 +56,7 @@ def __init__( self, noise_model: NoiseModel, decoder: sinter.Decoder | str, - iters_per_step: int = 8000, + iters_per_step: int = 100, shots_per_iter: int = 10000, exploration_weight: float = math.sqrt(2), ) -> None: @@ -74,7 +74,7 @@ def __init__( decoder: The decoder that Sinter will use to compute logical error rates. If this argument is a string, it must must be a decoder name recognized by Sinter, such as "pymatching" or "fusion_blossom". - iters_per_step: Iterations per MCTS step (default: 8000). + iters_per_step: Iterations per MCTS step (default: 100). shots_per_iter: Number of times to sample evaluation circuits (default: 10000). exploration_weight: exploration parameter of MCTS (default: sqrt(2)). """ @@ -94,7 +94,11 @@ def __init__( @restrict_to_qubits def get_circuit( - self, code: codes.QuditCode, qubit_ids: QubitIDs | None = None + self, + code: codes.QuditCode, + qubit_ids: QubitIDs | None = None, + *, + verbose: bool = False, ) -> tuple[stim.Circuit, MeasurementRecord]: """Construct a circuit to measure the syndromes of a quantum error-correcting code. @@ -114,8 +118,8 @@ def get_circuit( qubit_ids = qubit_ids or QubitIDs.from_code(code) # the heavy lifting: schedule gates - schedule_cx = self._build_schedule(code, Pauli.X) - schedule_cz = self._build_schedule(code, Pauli.Z) + schedule_cx = self._build_schedule(code, Pauli.X, verbose=verbose) + schedule_cz = self._build_schedule(code, Pauli.Z, verbose=verbose) # construct a circuit from the gate schedules circuit = stim.Circuit() @@ -129,16 +133,21 @@ def get_circuit( record = MeasurementRecord({qubit: [mm] for mm, qubit in enumerate(qubit_ids.check)}) return circuit, record - def _build_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> GateSchedule: + def _build_schedule(self, code: codes.CSSCode, basis: PauliXZ, verbose: bool) -> GateSchedule: """Schedule the gates that extract basis-type stabilizers of a CSS code.""" # identify gates that need to be scheduled, as (control, target) pairs graph = code.get_graph(basis) gates = [(check.index + len(code), data.index) for data, check in map(sorted, graph.edges)] + if verbose: # pragma: no cover + print(f"Building gate schedule for {basis}-type syndrome extraction circuit...") + # schedule gates with MCTS node = TreeNode(TreeState.head(gates)) - while not node.is_terminal(): + for step in range(len(gates)): node = self._schedule_one_gate(code, basis, node) + if verbose: # pragma: no cover + print(f" {step + 1}/{len(gates)}") # convert the final tree node into a gate schedule return node.state.to_schedule() From 3c5ddeaf102cdb27b3f48767b742a4f903b323ed Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Thu, 26 Mar 2026 14:11:16 -0400 Subject: [PATCH 59/71] set default decoder --- src/qldpc/circuits/alpha_syndrome.py | 14 ++++++++---- src/qldpc/circuits/alpha_syndrome_test.py | 26 ----------------------- 2 files changed, 10 insertions(+), 30 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index d93d251a1..b5e9c21d9 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -28,7 +28,7 @@ import sinter import stim -from qldpc import codes +from qldpc import codes, decoders from qldpc.objects import Node, Pauli, PauliXZ from .bookkeeping import MeasurementRecord, QubitIDs @@ -55,10 +55,12 @@ class AlphaSyndrome(SyndromeMeasurementStrategy): def __init__( self, noise_model: NoiseModel, - decoder: sinter.Decoder | str, + decoder: sinter.Decoder | str = decoders.SinterDecoder(), iters_per_step: int = 100, shots_per_iter: int = 10000, exploration_weight: float = math.sqrt(2), + *, + verbose: bool = False, ) -> None: """Initialize an AlphaSyndrome syndrome measurement strategy, based on arXiv:2601.12509. @@ -76,12 +78,14 @@ def __init__( "pymatching" or "fusion_blossom". iters_per_step: Iterations per MCTS step (default: 100). shots_per_iter: Number of times to sample evaluation circuits (default: 10000). - exploration_weight: exploration parameter of MCTS (default: sqrt(2)). + exploration_weight: Exploration parameter of MCTS (default: sqrt(2)). + verbose: Default verbosity level when building a circuit. """ self.noise_model = noise_model self.iters_per_step = iters_per_step self.shots_per_iter = shots_per_iter self.exploration_weight = exploration_weight + self.verbose = verbose # keyword arguments passed to sinter.predict_observables self.sinter_decoding_kwargs: dict[str, str | dict[str, sinter.Decoder]] @@ -98,7 +102,7 @@ def get_circuit( code: codes.QuditCode, qubit_ids: QubitIDs | None = None, *, - verbose: bool = False, + verbose: bool | None = None, ) -> tuple[stim.Circuit, MeasurementRecord]: """Construct a circuit to measure the syndromes of a quantum error-correcting code. @@ -116,6 +120,8 @@ def get_circuit( "The AlphaSyndrome strategy for syndrome measurement only supports CSS codes" ) qubit_ids = qubit_ids or QubitIDs.from_code(code) + if verbose is None: + verbose = self.verbose # the heavy lifting: schedule gates schedule_cx = self._build_schedule(code, Pauli.X, verbose=verbose) diff --git a/src/qldpc/circuits/alpha_syndrome_test.py b/src/qldpc/circuits/alpha_syndrome_test.py index 024f80b20..ea7aaf9d4 100644 --- a/src/qldpc/circuits/alpha_syndrome_test.py +++ b/src/qldpc/circuits/alpha_syndrome_test.py @@ -20,38 +20,13 @@ import random import numpy as np -import numpy.typing as npt import pytest -import sinter import stim from qldpc import circuits, codes, math from qldpc.objects import Pauli -class TrivialDecoder(sinter.Decoder): - """Trivial decoder that predicts no observable flips.""" - - def compile_decoder_for_dem(self, *, dem: stim.DetectorErrorModel) -> TrivialCompiledDecoder: - return TrivialCompiledDecoder(shape=(dem.num_observables + 7) // 8) - - -class TrivialCompiledDecoder(sinter.CompiledDecoder): - """Compiled trivial decoder that predicts no observable flips.""" - - def __init__(self, shape: int): - self.shape = shape - - def decode_shots_bit_packed( - self, - *, - bit_packed_detection_event_data: npt.NDArray[np.uint8], - ) -> np.ndarray: - return np.zeros( - shape=(bit_packed_detection_event_data.shape[0], self.shape), dtype=np.uint8 - ) - - def test_alpha_syndrome(pytestconfig: pytest.Config) -> None: """Verify that syndromes are read out correctly.""" seed = pytestconfig.getoption("randomly_seed") @@ -75,7 +50,6 @@ def alpha_syndrome_is_valid( code: codes.QuditCode, strategy: circuits.AlphaSyndrome = circuits.AlphaSyndrome( circuits.DepolarizingNoiseModel(0.001), - decoder=TrivialDecoder(), iters_per_step=3, shots_per_iter=1, ), From c44cdaa57185a7564ba05b93706711b9804efba1 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Thu, 26 Mar 2026 14:11:25 -0400 Subject: [PATCH 60/71] add tentative example notebook --- .../5_alpha_syndrome.ipynb | 317 ++++++++++++++++++ 1 file changed, 317 insertions(+) create mode 100644 examples/logical_error_rates/5_alpha_syndrome.ipynb diff --git a/examples/logical_error_rates/5_alpha_syndrome.ipynb b/examples/logical_error_rates/5_alpha_syndrome.ipynb new file mode 100644 index 000000000..9e86e9c21 --- /dev/null +++ b/examples/logical_error_rates/5_alpha_syndrome.ipynb @@ -0,0 +1,317 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "eeb8c0ca-7f77-4577-ada8-5d28854173e0", + "metadata": {}, + "outputs": [], + "source": [ + "%%capture\n", + "%pip install qldpc\n", + "%pip install matplotlib" + ] + }, + { + "cell_type": "markdown", + "id": "aa2ac094-a676-40d0-aaa8-250ee2d05ebb", + "metadata": {}, + "source": [ + "## AlphaSyndrome measurement strategy\n", + "\n", + "We can construct a custom stabilizer measurement circuit by defining a new `SyndromeMeasurementStrategy`. As an example, `AlphaSyndrome` from [arXiv:2601.12509](https://arxiv.org/abs/2601.12509) uses a Monte Carlo tree search to find stabilizer measurement circuits with reduced logical error rates." + ] + }, + { + "cell_type": "markdown", + "id": "090f328e-5391-4d9a-8e20-546e07f37675", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "### imports, simulation, and plotting code" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "cb253965-309e-4d59-88ca-9b77ff629e25", + "metadata": {}, + "outputs": [], + "source": [ + "import os\n", + "from collections.abc import Sequence\n", + "\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import sinter\n", + "\n", + "from qldpc import circuits, codes, decoders\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "d56f75ee-0126-4d1c-84aa-220ae733eb8c", + "metadata": {}, + "outputs": [], + "source": [ + "def run_memory_experiments(\n", + " code: codes.CSSCode,\n", + " strategies: Sequence[circuits.SyndromeMeasurementStrategy],\n", + " error_rates: Sequence[float] = list(np.logspace(-3, -2, 5)),\n", + " max_shots: int = 10**5,\n", + " max_errors: int = 100,\n", + " distance_trials: int = 100,\n", + " **decoding_kwargs: object,\n", + ") -> list[sinter.TaskStats]:\n", + " \"\"\"Use sinter to simulate memory cycles of the given codes.\n", + "\n", + " This function ...\n", + " 1. Builds a memory experiment for each code.\n", + " 2. Adds a depolarizing noise to all gates, at the provided error rates.\n", + " 2. Wraps each noisy circuit in a `sinter.Task``.\n", + " 3. Runs batched Monte Carlo sampling with `sinter.collect`.\n", + "\n", + " Args:\n", + " code: The code we wish to simulate.\n", + " strategies: The syndrome measurement strategies we wish to use.\n", + " error_rates: The i.i.d. probabilities of a depolarizing error after each gate.\n", + " max_shots: Stop sampling the circuit after this many shots.\n", + " max_errors: Stops the sampling process after this many errors have been seen in samples\n", + " taken from the circuit.\n", + " distance_trials: If the code distance is not known, estimate it with this many trials.\n", + " The estimated distance determines the number of rounds of syndrome measurement.\n", + " **decoding_kwargs: Arguments to pass to the decoder.\n", + "\n", + " Returns:\n", + " A `sinter` stats object aggregating shots, errors, and metadata for downstream plotting.\n", + " \"\"\"\n", + " distance = code.get_distance(bound=distance_trials)\n", + " noise_models = {\n", + " prob: circuits.DepolarizingNoiseModel(prob, include_idling_error=False)\n", + " for prob in error_rates\n", + " }\n", + "\n", + " tasks = []\n", + " custom_decoders = {} # each code is going to need its own decoder\n", + " for strategy_index, strategy in enumerate(strategies):\n", + " # Collect the components of the memory experiment. In particular, we will need the record\n", + " # of detectors and qubit indices.\n", + " initialization, qec_cycle, readout, measurement_record, detector_record, qubit_ids = (\n", + " circuits.get_memory_experiment_parts(\n", + " code, basis=None, num_rounds=distance, syndrome_measurement_strategy=strategy\n", + " )\n", + " )\n", + "\n", + " # Identify detectors associated with X-type and Z-type stabilizers (parity checks).\n", + " detectors_x = detector_record.get_events(*qubit_ids.checks_x)\n", + " detectors_z = detector_record.get_events(*qubit_ids.checks_z)\n", + "\n", + " # Build a decoder that separately decodes X and Z sectors to predict X and Z observables.\n", + " # Here X observables are numbered 0, 1, ..., code.dimension - 1, and Z observables are\n", + " # numbered code.dimension, code.dimension + 1, ..., code.dimension * 2 - 1.\n", + " decoder = decoders.SubgraphDecoder(\n", + " (detectors_x, detectors_z), # X/Z detectors\n", + " (range(code.dimension), range(code.dimension, 2 * code.dimension)), # X/Z observables\n", + " **decoding_kwargs,\n", + " )\n", + " decoder_name = f\"decoder_{strategy_index}\"\n", + " custom_decoders[decoder_name] = decoder\n", + "\n", + " for prob in error_rates:\n", + " noise_model = noise_models[prob]\n", + " noisy_circuit = initialization + noise_model.noisy_circuit(qec_cycle) + readout\n", + " tasks.append(\n", + " sinter.Task(\n", + " circuit=noisy_circuit,\n", + " decoder=decoder_name,\n", + " json_metadata={\"label\": type(strategy).__name__, \"prob\": prob},\n", + " )\n", + " )\n", + "\n", + " return sinter.collect(\n", + " num_workers=os.cpu_count() - 2,\n", + " max_shots=max_shots,\n", + " max_errors=max_errors,\n", + " tasks=tasks,\n", + " custom_decoders=custom_decoders,\n", + " )\n", + "\n", + "\n", + "def make_memory_experiment_figure(\n", + " code: codes.CSSCode,\n", + " strategies: Sequence[circuits.SyndromeMeasurementStrategy],\n", + " error_rates: Sequence[float] = list(np.logspace(-3, -2, 5)),\n", + " max_shots: int = 10**5,\n", + " max_errors: int = 100,\n", + " distance_trials: int = 100,\n", + " figsize: tuple[int, int] = (5, 4),\n", + " **decoding_kwargs: object,\n", + ") -> tuple[plt.Figure, plt.Axes]:\n", + " \"\"\"Use sinter to simulate memory cycles of the given codes, and plot the results.\n", + "\n", + " Args:\n", + " code: The code we wish to simulate.\n", + " strategies: The syndrome measurement strategies we wish to use.\n", + " error_rates: The i.i.d. probabilities of a depolarizing error after each gate.\n", + " max_shots: Stop sampling the circuit after this many shots.\n", + " max_errors: Stops the sampling process after this many errors have been seen in samples\n", + " taken from the circuit.\n", + " distance_trials: If the code distance is not known, estimate it with this many trials.\n", + " The estimated distance determines the number of rounds of syndrome measurement.\n", + " figsize: The size of the figure to produce.\n", + " **decoding_kwargs: Arguments to pass to the decoder.\n", + "\n", + " Returns:\n", + " The matplotlib.pyplot figure and axis.\n", + " \"\"\"\n", + " stats = run_memory_experiments(\n", + " code, strategies, error_rates, max_shots, max_errors, distance_trials, **decoding_kwargs\n", + " )\n", + "\n", + " figure, axis = plt.subplots(figsize=figsize)\n", + " sinter.plot_error_rate(\n", + " ax=axis,\n", + " stats=stats,\n", + " x_func=lambda stats: stats.json_metadata[\"prob\"],\n", + " group_func=lambda stats: stats.json_metadata[\"label\"],\n", + " )\n", + "\n", + " axis.axline(\n", + " (0, 0),\n", + " slope=1,\n", + " color=\"k\",\n", + " linestyle=\":\",\n", + " label=r\"$p_{\\mathrm{log}}=p_{\\mathrm{phys}}$\",\n", + " )\n", + " axis.loglog()\n", + " axis.set_xlabel(r\"physical error rate\")\n", + " axis.set_ylabel(r\"logical error rate\")\n", + " axis.legend(loc=\"best\")\n", + " axis.grid(which=\"both\")\n", + " figure.tight_layout()\n", + "\n", + " return figure, axis" + ] + }, + { + "cell_type": "markdown", + "id": "348a2ee4-47b4-44f8-84ce-aed2a178ab43", + "metadata": {}, + "source": [ + "### Surface code" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "604a53a6-9624-4a9f-bf00-ff471676408e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Building gate schedule for X-type syndrome extraction circuit...\n", + " 1/20\n", + " 2/20\n", + " 3/20\n", + " 4/20\n", + " 5/20\n", + " 6/20\n", + " 7/20\n", + " 8/20\n", + " 9/20\n", + " 10/20\n", + " 11/20\n", + " 12/20\n", + " 13/20\n", + " 14/20\n", + " 15/20\n", + " 16/20\n", + " 17/20\n", + " 18/20\n", + " 19/20\n", + " 20/20\n", + "Building gate schedule for Z-type syndrome extraction circuit...\n", + " 1/24\n", + " 2/24\n", + " 3/24\n", + " 4/24\n", + " 5/24\n", + " 6/24\n", + " 7/24\n", + " 8/24\n", + " 9/24\n", + " 10/24\n", + " 11/24\n", + " 12/24\n", + " 13/24\n", + " 14/24\n", + " 15/24\n", + " 16/24\n", + " 17/24\n", + " 18/24\n", + " 19/24\n", + " 20/24\n", + " 21/24\n", + " 22/24\n", + " 23/24\n", + " 24/24\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "code = codes.SurfaceCode(3, 5)\n", + "\n", + "noise_model = circuits.DepolarizingNoiseModel(0.001) # noise model used to train AlphaSyndrome\n", + "strategies = [circuits.EdgeColoring(), circuits.AlphaSyndrome(noise_model, decoder=\"pymatching\", verbose=True)]\n", + "\n", + "make_memory_experiment_figure(code, strategies, with_MWPM=True)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3104c7a2-fbf1-4422-baea-496d91bebdcb", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.12" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 49c7fba1f974ad75d5fd5eedc4ad4c30c489b5c8 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Thu, 26 Mar 2026 14:13:13 -0400 Subject: [PATCH 61/71] formatting fix --- examples/logical_error_rates/5_alpha_syndrome.ipynb | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/examples/logical_error_rates/5_alpha_syndrome.ipynb b/examples/logical_error_rates/5_alpha_syndrome.ipynb index 9e86e9c21..856e5f9be 100644 --- a/examples/logical_error_rates/5_alpha_syndrome.ipynb +++ b/examples/logical_error_rates/5_alpha_syndrome.ipynb @@ -278,7 +278,10 @@ "code = codes.SurfaceCode(3, 5)\n", "\n", "noise_model = circuits.DepolarizingNoiseModel(0.001) # noise model used to train AlphaSyndrome\n", - "strategies = [circuits.EdgeColoring(), circuits.AlphaSyndrome(noise_model, decoder=\"pymatching\", verbose=True)]\n", + "strategies = [\n", + " circuits.EdgeColoring(),\n", + " circuits.AlphaSyndrome(noise_model, decoder=\"pymatching\", verbose=True),\n", + "]\n", "\n", "make_memory_experiment_figure(code, strategies, with_MWPM=True)\n", "plt.show()" From 570b574951c738e5fe2d1e2647afd5867a127284 Mon Sep 17 00:00:00 2001 From: acasta-yhliu Date: Thu, 26 Mar 2026 20:50:07 -0400 Subject: [PATCH 62/71] [fix] fixed a bug in AlphaSyndrome implementation, circuit noise When building evaluation circuit with noise and invoke self.noise_model.noisy_circuit at line 181, immune_qubits set to data qubits will cause no noise appended to the circuit. This behavior is not expected. --- .../5_alpha_syndrome.ipynb | 408 +++++++++++++++--- src/qldpc/circuits/alpha_syndrome.py | 9 +- 2 files changed, 362 insertions(+), 55 deletions(-) diff --git a/examples/logical_error_rates/5_alpha_syndrome.ipynb b/examples/logical_error_rates/5_alpha_syndrome.ipynb index 856e5f9be..b5b409cf1 100644 --- a/examples/logical_error_rates/5_alpha_syndrome.ipynb +++ b/examples/logical_error_rates/5_alpha_syndrome.ipynb @@ -124,10 +124,12 @@ " for prob in error_rates:\n", " noise_model = noise_models[prob]\n", " noisy_circuit = initialization + noise_model.noisy_circuit(qec_cycle) + readout\n", + " dem = noisy_circuit.detector_error_model(decompose_errors=True)\n", " tasks.append(\n", " sinter.Task(\n", " circuit=noisy_circuit,\n", - " decoder=decoder_name,\n", + " detector_error_model=dem,\n", + " decoder=\"pymatching\",\n", " json_metadata={\"label\": type(strategy).__name__, \"prob\": prob},\n", " )\n", " )\n", @@ -211,61 +213,361 @@ "id": "604a53a6-9624-4a9f-bf00-ff471676408e", "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/liuyuhao/qLDPC/.venv/lib/python3.10/site-packages/numba/np/ufunc/parallel.py:373: NumbaWarning: The TBB threading layer requires TBB version 2021 update 6 or later i.e., TBB_INTERFACE_VERSION >= 12060. Found TBB_INTERFACE_VERSION = 12050. The TBB threading layer is disabled.\n", + " warnings.warn(problem)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Building gate schedule for X-type syndrome extraction circuit...\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "scheduling one gate: 100%|██████████| 5000/5000 [00:47<00:00, 104.50it/s]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 1/12\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "scheduling one gate: 100%|██████████| 14/14 [00:00<00:00, 106.44it/s]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 2/12\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "scheduling one gate: 100%|██████████| 19/19 [00:00<00:00, 112.41it/s]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 3/12\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "scheduling 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", 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7KOw5EHMO1hwDNm6ghWhTOUu/buTkMVYMlpTv7pMltFveQvvFM2iiQRStAXnqxciTLwLdd3NGJZmlm2o4+eixGJwl/bcF1b9kZGTE5ajF0ncctL85DAZDx++SJKHRaNBqtZ3Kbnqiffmy/TEHE+32Dge7H3jgAe677z5OPPFE/u///u+A2TQcr59Wq+3IKD+QDuhAzzdQDDe7h8KeAzHnYM3R73EjAXDtgtZd0CZFbLCkYNC1/R23VMDHf4KGb9XjrIloTrwNXeoIumwoyerKlUGv2+/nmMjjh8cnjmBYc9lllyXUSWswueeee4hGoyxbtgyr1TrU5ggEguGKLKk63XvWQdMOMNnAlv3d/VIE1j8Hb1ypOmmDGU64Gc58FFJHdB0v4gNPnfq7ue+S2YFERNQCgUAgOLQItKiRsrcWDMltNdEaNVkM0NR/DZ88AC5VbIkRx8PxN4I1s+tYsgT+BtDowTkWdm6FJFvX8wYR4agFAoFAcGgQDanO17ULpKjqePfaYybiY3LV8+i//Eg9Tk5VHXTxrO5LrSI+CLSCLQvSR4HBBmw9IE9lb4SjFggEAsHBjSyDrx6ad0CwFcypqnDJ3lR+gv6TxRQHmtTjMafDsVd3Hx13iqLHqUvheuN+lWPtD8JRCwQCgeDgJeSGlkq1Jlqf1Fn6EyDQDKsfhYqVaABfUhamObejLziq+/EifnXp3JqpRtGW9C6nSLLCgUwDFI5aIBAIBAcfsYiaLNa6E2IhsDo7t5tUFNj2X1VdLOIDjRZp0gUs18zl1NxuSqtkSVUo02g7R9Edwyk0+9W+BPWeECOcB06/QWR9C+JCo9Hw5ptvDrUZ3XLPPfcwderU/R7n+eefF00wBILhjqKAtx6qv4D6r1XnvG9PaPceePdmtewq4oOM0XDOk8hHX4ms7cbBRvzgqQFTKuRNA+eoTk46FJUoq/exeY8LUFfaDyTCUR+GXHbZZWg0mi7/Tj311ANuS11dHddffz0lJSUkJSVRUFDAGWecwbJlyw64LRdccAHbt28/4PMKBII4Cfug7muo2QBhD9hzO+8xyzHY+CK8tghqN4IuCY69Bs7+C2SM6jqeLIG3TnXUzrGQd2SnpW5FUWjwhNhY5WJnkw9b0tDU4Yul76HEvQf8TT3fb3F2FokfQE499VSee+65TrclJSX1cPbgUFlZyfHHH09KSgp/+tOfmDRpEtFolA8++IBrr72WrVsPXHZlNBolOTmZ5OTkAzanQCBIANducO9WI2Srs3OHK4DGrWoE3dzWwz1vGsy8RXXm3REJqPvXFqfqxPdJPgtEYlQ2+6luDWHQashxJKuOfQgQEfVQEQvDU7PhqVk9//vrSep5g0BSUhLZ2dmd/qWmpgJQVlbGiSeeiMlkYvz48SxdurTL49esWcPUqVMxmUxMmzaNN998E41Gw8aNGzvO+frrrznttNOwWq1kZWVx6aWX0tT03ReTa665Bo1Gw+eff84PfvADRo8ezYQJE7jllls6tZ3cvXs3Z511FlarFbvdzvnnn099fX2Pz02WZX7961+Tn59PUlISU6dO7dQdq7KyEo1GwyuvvMKsWbMwmUy8+OKLXZa+25fU//73v1NSUkJhYSEXXXQRXq+34xyv18vFF1+MxWIhJyeHhx9+mJNOOombbropkcshEAi6Q1FUZwpQ/43qsVLyOzvpaBA+/Qu8eY3qpJPscNL/wel/6tlJ+xog7N0riv7OScuyQo0ryJe7XexuDpJqNpBuTUJRYHO1my+aNGysciHJB059WzjqoaK9MXmPl0Dbdd/lACDLMueeey5Go5G1a9fyxBNPcMcdd3Q6x+PxcMYZZzBp0iQ2bNjAb37zmy7nuFwu5syZwxFHHMH69et5//33qa+v5/zzzwegpaWF999/n2uvvRaLxdLFjnaHKcsyZ511Fi0tLaxcuZKlS5eyc+dOLrjggh6fwyOPPMKDDz7IAw88wFdffcX8+fM588wzKSsr63TenXfeyY033siWLVuYP39+t2OVl5fz5ptv8vbbb/PPf/6Tjz/+mD/84Q8d999yyy2sXr2at99+m6VLl7Jq1So2bNjQ8wssEAjiIxJQo+Tqtr8nWxaYUjqfs2edusy9+VVQZBg5D87/G4w+pYe66ID6M8kOeUeBc3Qnp+8NRfmmxsPX1W4kWSHXYSJJr2NNeRNXvLCOX769hRfKdNz82mZOuP8j3v+6dnCe+z6Ipe+BRFEgGuj+PllW74vooF0r+sTb4J8LehhMVu/vabx9MZgT6o367rvvdpHg/L//+z+mTZvG1q1b+eCDD8jNVb+N/u53v+O0007rOO+ll15Co9Hw17/+tSPqrq6u5sorr+w457HHHuOII47gd7/7Xcdtzz77LAUFBWzfvh2Xy4WiKIwdO7ZXO5ctW8bmzZupqKigoKAAgBdeeIEJEyawbt06jj766C6PeeCBB7jjjju48MILAbj//vtZvnw5ixcvZsmS7xrA33TTTZx77rm9zi/LMs8//zwWi4XCwkIuueQSli1bxn333YfX6+Vvf/sbL730EnPnqg3kn3vuuY7XTSAQ9ANZUhO7WnaqpVemVKAFtHu5q5BLjaLL/qceW7PghFug8Jjux1RkdZsx1pYFljMVkr8LEGKSTK07RGWzn0BYwmlL6tACX1PexO/f67oNV+cOcfU/NvD4JUdy6sSc/X/evSAc9UASDcDvuv+Q1gIpiY7XoxPvhv+rAWPXyLQnZs+ezeOPP97ptrS0NP7+979TUFDQydkcd9xxnc7btm0bkydP7tSxafr06Z3O2bRpE8uXL+9Wj7u8vJy0tPi0crds2UJBQUGHkwYYP348KSkpbNmypYuj9ng81NTUcPzxx3e6/fjjj+/os93OtGnT+py/qKioU+/unJwcGhoaANi5cyfRaLTTc3c4HIwZMyau5yYQCPahQ/qz7fPMkQ+yArR17lMUKF8Ga/6sOnE0MPFcOPoKNVjpjmgA/M1gzoDMYij7vFNGtzsQpbLZT607hDVJT27Kd3kqkqzw1Kqd3Q6rqLNz7zvfcvL47EFtTSwc9WGKxWJh5MiRgza+z+fjjDPO4P777+9yX05ODuFwGI1Gc0ATxvaluyX3fdm3w41Go+lw2gKBYIBol/5srVQzt23Ze0XQbXvB3jr49BGoWqsepxbDrNsgc3z3Y7ZH0YqslmelFYPy3VZjVJKpbg1Q2RwgKslk2ZLQ6zpvRX5b46bZF+nRbAWodYf4vKKF40q7CqMMFMJRDyQGsxrZdoMsy3i8Xuw2W+c2iYoCz5+ulhwoEmh0kD0RLvtvQkvZPX6bTJBx48ZRVVVFbW0tOTnqcs7eiV0AY8aM4R//+AfhcLgjU3zdunWdzjnyyCN5/fXXKSoqQq/v+jazWCzMnz+fJUuWcMMNN3Rxmi6Xi5SUlA57qqqqOqLqb7/9FpfLxfjxXf9A7XY7ubm5rF69mlmzZnXcvnr16i5R//5SUlKCwWBg3bp1FBYWAuB2u9m+fTsnnnjigM4lEBySyDL46tQksGCr2pVq35VBWaKk4QP0m19XhU20BjjyRzDlws463nuzdxSdMVLN7NZoOiRAWwMRqlxhGr1hHCYj6ZbuK15aAvFJhjZ4Q3E/5f4gkskGEo1GfZP19M9g7npbkhXm3qU6aVB/zr1Lvb23sfb9l4hTB8LhMHV1dZ3+NTU1MW/ePEaPHs3ChQvZtGkTq1at4he/+EWnxy5YsABZlvnJT37Cli1b+OCDD3jggQfaXgLVjmuvvZaWlhYuuugi1q1bR3l5OR988AGLFi1CausJu2TJEiRJYvr06bz++uuUlZWxZcsWHn300Y7l9nnz5jFp0iQuvvhiNmzYwOeff86PfvQjZs2a1ePS9W233cb999/PK6+8wrZt27jzzjvZuHEjN954Y0KvUV/YbDYWLlzIbbfdxvLly/nmm2+44oorOvpECwSCXgi6oG6TmiwmhdXk2n2ddMtOdO9ez6TqF9HEQpA9GX74NBx5afdOWpHVjO6QRy25yjtSlQJt+3uMxNTPns17XLj8UbLtyVhNPcer7ef3RabN1PdJ+4GIqIcDpXMh9wio+VL9WTp30Kd8//33OyLmdsaMGcPWrVv597//zRVXXMH06dMpKiri0Ucf7SSGYrfbeeedd7j66quZOnUqkyZN4q677mLBggUd+9btUe0dd9zBKaecQjgcZsSIEZx66qkdKwolJSVs2LCB++67j5/97GfU1tbidDo56qijOvbPNRoNb731Ftdffz0nnngiWq2WU089lT//+c89PrcbbrgBt9vNz372MxoaGhg/fjxvv/02o0Z1I3iwnzz00ENcddVVfP/738dut3P77bdTVVXVaf9eIBDsRSyi6nK3VnQv/QlqWeqXf4eNL6NVJKLaZLTHXYVu/Bmddbz3JhpUl7rNaepSd3sUjSpc0ugLs7PeDYDZqMea3PPfqCQr/PvLav7xWWWvT0UDZDtMTC8e3P7UGkVRDlwx2EGGx+PB4XDQ1NTEJ598wumnn96xZxkKhaioqKC4uDiuD2VZlvF4PNjt9s5L3+2UL4f37oDT7ofS2QP9VAadF198kUWLFuF2uw9J0ZA+r18bfr+fvLw8HnzwQa644opBtSnR9+D+Eo1G+e9//9vp7+BgYLjZPRT2HIg5+5xDUdRot7kcAk2QnNJ956raTfDxA6ozB+QRJ7DU+kPmHDu5IxO787hte9GyDGlF6t614bu/h2BEYleznz2tQbSKhHfHOoqmnoBW132cuqc1wOIPy9hWr+ollDotlDf6u5zXvmbW36zvdv/idrux2+29nisi6uFC6Wy47vOhtiJuXnjhBUpKSsjLy2PTpk3ccccdnH/++Yekk+6NL7/8kq1btzJ9+nTcbje//vWvATjrrLOG2DKBYBgR9n7X4Uqr69rhClTFsbVPwpZ31GNzOhx/I1LhCYQ27Ol+3L2j6PRRnZa5ZVmhwRumssmPKxAh3ZqEUavH2/1ISLLCO5tq+Ptnu4hIMhajjitnljBnbCaf7mzmqVU7OyWWZTtM3H3G+EEvzQLhqAX9pK6ujrvuuou6ujpycnI477zzuO+++4barCHhgQceYNu2bRiNRo466ihWrVpFRkZG3w8UCA51pKgqldxSoSZ4WTK6Sn8CVKyC1Yu/UyEbewYc8xM14pa6qbJQZPVcSVL3oveJov3hGLua/VS7ghh1OnJTktWKDSnWrZk1riCPLCvj21oPAEcWpnD9nFFkWFVbZ5RmcExxOl/vaWH7lq85YspUzjyyYFBLsvZGOGpBv7j99tu5/fbbh9qMIeeII47giy++GGozBILhhaKokW7rTrXTlcnefd8Cf5PaK7ryY/XYkQ8zb4XcqT2P3R5FJ6dC9uhOUbQkK9R5QlQ0+vBHYmRYTBj1PW9VyYrCf76q5flPK4nEZJINOq44oZhTxmd1SQjVaTVMynNga1SYXJBywJw0CEctEAgEgoEkEoDmPWoDDY0G7DmdVcVAjYi3/gfWPqF2rtLoYMpFajZ3dxE3tDn/RlW5LK0U0kvA8N1WmycUpbLJT60riNmoJ9fRe8lqnSfEo8vK2FytJphNzndw45xRZNqHXyKocNQCgUAg2H/aO0tVbwDJp+4xG7rJWXHthlUPqkljoDbGOPE2SC/tfXx3DVhT1aVua1ZHFB2TZGpcQSqa/YSjMk6bqfukszYUBd7/pp7nP91NMCqRpNey6PhiTpuYjXaYllUKRy0QCASC/SPQAo072g5ktaHQvk5PjsGmf8KGv6l713qTKv054Vw1waw7FEUVLgF1HzprZCfn3+qPUNnsp8EbwpZkIM3Re6veRl+Yx7do2eauAGBCrp0b545SW1jGgTuoCqDodAfWoQtHLRAIBIL+EQ1C6y5w7YJoW0SdnNLVSTdsUXtFt7TpZucfrfaKtvWSMR0Lga8RjClAEDLHgEGtt47EZKpaAlS1BIjJClm25F73jBVF4cMt9Tz9SQWBiBajTsOPjivijCm5cUXRkqzQ6Ath0KiJbZm23r8QDDTCUQsEAoEgMWQZvLWq4w22qsvcySZgnzKqaADWPQtfvw4oanvJGder7Sh7cpCKAsEWVRglrQRshfDN8o7zm3xqyVWzP4LDZMCS1Lsba/aFeWz5DtbvagWgyKpw+xlTKEjvpoa7GwKRGK2BCFl2E4WpSXyynQOaSAbCUQsEAoEgEYIuVVXMU6MmfjnyVSe6bxlV1VpY9RD46tXjkSfDcdeqEXdPxMJqwpgpBTInqM05YmpJVTgqUdEcosoVAAWybKY+o+jl2xp5alU5/rCEQafh4ukFTFF2kpfS91K3rChq3bRGYVSmjcJ083f78AcY4agFAoFA0DexMLjapT/D3Ut/gurIP/8L7PhQPbZmwcyfQUEvTXE6ouiwuhedVgJGc9tdqnjmV9VuPGGZNHMSycYe9rTbaPVHWLJiB2sr1PaYozKt3DRvNPkOI5Ubu29buTehqESzP0yaxUiJ09pRTx0VjlogEAgEww5FUaPi5p3fSX9auhH0URTyW1ajf/1lCHtU5bGJP4Bpi3rv7tceRSc5ILctim5b5g5EYuxsULXEwhGJHIe51z1lRVFYVdbEEyvL8YZj6LUaLppeyA+OzEen7VnwZO/HuwJRwpJEUbqFogwLJkPvXwoOBMJRCwQCgaB7Qh5VVcyzR+1W1Z30J4CnFt2qBzmqer16nFaqllxlju157L2j6JQitS66rXuWLCvUe0PsbPTjCagtJNOsSb06aXcwyuMrdrC6XM0SL3FauHnuaIoy+u47D2p/6gZvCKvJwKTsFLLsScOmC55oc3mYUldXh0aj4ZFHHuGII47AZDIxYcIEPvnkk6E2rYODwUaB4JBEiqoOes96VZ/bnN7WjWoflyFL8NW/4LVFaKvXI2kMSNN+DOc+2buTjoVVaVGtQe0YmDWhw0l7Q1G+rfWweY8bSVbIiUOAZE15E9e+tIHV5c3otBoWTC/kwR9OidtJe0NRGrxhclOSmVqQQrbDNGycNAhHfdiyceNGAJ599lkWL17Mxo0bKSws5OKLL0aWu9HW7Se/+93vsFqtvf7bvXv3kNooEAjaUBS1JKr6C6jbDFqtGkV3pxbWvAPeuhY+WwKxEHL2FJaP/S3ylAVdlcj2Hj/QrEqAphZD/jSw54JWiyQrVLUE2Fjloro1SIY1iVSzsVeH6QlG+dMH2/j9e1txB6MUpZt54IdTuGh6IfpeRE/akWSFek+IqCQzPsfGhFwH1j6yyIeC4WfRIYDfr7ZEM5vNHW+ySCSC3+8nKSmpU4ep9nOTk5M72idGo1EikQg6na5T+8Kezu1P27pNmzZhMBh46623KCoqAuC3v/0t06ZNY/Xq1dx8882sX78+4XH35aqrruL888/v9Zzc3NyEbayurqagoKDbx1VWVvLDH/5wQOwXCA4bIn61w5VrN2g1bQ60m/3ZWBg2vKCKlyiSGgkfczXSqFPxf1nT8/ixsPolwGSH3HFqDXXb55g7EKWy2U+tO4Q1SU9uHFnZn1c089jyHbQGomg18MOjCrjw6IJeVcn2Ri27iuK0GSl1Wkkxd5MYN0wQEfUg0B4pNjU1ddz2wAMPkJ+fz/XXX9/p3MzMzC5R5ZIlS7BarV36GRcVFWG1WtmyZUvHbc8//3y/bNy4cSPnnntuhwME+uyJ2h/S0tIYOXJkr//0+u6/Lx4oGwWCwxoppjrnqs/VJhrmFDVTuzsnXfMlvH4FbHxRddLFJ8L5L8C473e/dw1tUXRLWxRdpEbRjjzQaolKMpVNPjZWtdLgDZFlS8KR3Hvg4QvHePjD7fzmP1toDUQpSE3mTz+cwqXHjojbSTf7wnjDMUZmWpiUlzKsnTQIR33YsnHjRqZOndrptk8//ZSMjAzy8jp3ubn//vuZOHEikyZN4sUXX+y4/Ve/+hVjxoxhzpw5nHbaabz77rtd5tnfpe+ebIxGo0yePJnzzz+fcePGsXDhQmKx7zI6o9EoCxcuZNy4cVxwwQUoisKvfvUrnnzyyY5zLr30Ut59911OPfVUJk2axKRJk/jggw/ifQkFgoOfQIvqfGvadLfteaq0576Evaqy2Ls3q3vL5gw45Tdw8q/V/eueiIXBXa0uhe+zF93ij/DVHhdb67wYdTqy7cl9Llev39XCdS9t4KOtDWiAc4/IY/EFRzA6Kz7xknBMLa8yGXVMyU9hZKat1+5awwWx9D0I+Hw+QF36bufWW29l0aJFpKWldTq3oaEBoNNy+LXXXsuVV16JTtf5G21lZWWXcy+77LKE7QsGg5SVlSFJ39UEyrLM4sWLWbhwYceyOsC6det49dVXWb9+PYFAgKOPPprZs2ezZ88ePvjgAzZv3ozL5WLs2LFce+21Xebq79J3PDZ+/fXXPPvss0ybNo0FCxbwj3/8o+P12LJlCy+//DLjxo1j9uzZfPLJJ1x22WUsXLiQn/70p/h8PtasWcP3v/990tPTef/991EUBa+3p7byAsEhxN7Sn4oM9uzu95UVBSo+htWPqBnaAOPOVHtFG609j68oqmJZLAQphWrDjST1/HBMoqolwO6WALIM2fbe5T8BQjH48/JyPtzaCECuw8RN80YzLif+FTZXIII/HAFgUq4Dm+XAyoDuD8JRDwIWS9dMQ6PRiMViISkpqc9zDQZDt/vOPZ2bKJs3b0aj0fCPf/yDOXPmkJKSwl133YXL5eKXv/wlLper49zVq1fzgx/8AJPJhMlkYu7cuaxbt46KigrOOeccjEYjmZmZzJ49u9u50tLSunw5GSgbR44cybRp0wC48MILefvttzsc9ZgxYxg/fjyg9oyurKxk5syZ6PV6ysrKWLNmDWeddRZHHHEEt956K7fffjvnnHMOxx13XMK2CgQHDbIE7gZoLoeQS42GjT3UOPsbVQdd2VZl4ShQS65yJvc+hxQBX7PqyHOmgE1NFlMUhSZfhIomH83+CGlmI2Zj3y5o4x43D2/S4Yo0ogHOmJLLpceOiLu+OSbJNPjCmI06JuQ42LBTjagPJoSjPgzZuHEjY8eO5fbbb+cHP/gBbreb+fPns3LlSlJSUjo56p5oVwsaShv3zgbVaDSdjvf+QqTT6Toi88suu4wXXniBNWvW8NBDDzF69Gg2btzIu+++yy233MLFF1/MddddN6jPTSAYMuo2Q6AeDKbvpD/3RZFhyzuw9imItvWKnroAjrik517Re+NvhtSCTlF0KCqxq1ltoqHTash1JPfZDCMYkXhuTQXvfV0HaMi2J3Hj3NFMzHPE/XR94RieUIRsezIlTgumg8s/dzD8F+cFA86mTZuYNGkSl156KTU1Nfj9ft54441us6hPOOEE3njjDcLhMK2trXz00UdMnz6dGTNm8NZbbxGNRmlsbGTFihUH3MaysjI2bNgAwCuvvMIJJ5zQ57jnnXceL7/8Mq2trUyZMoWamhosFgsLFy7kpptu6igJEwgOGWJhaCpXf/fVgzVTjaS7c5SuXfDOjfDJw6qTzhwHP/ir2o6yNyctRdR+0QDZk9R/SVZkWaHOHWLjbhcVTT4cyQYy+hAuAdhc7eb6f25oc9IwM0vmkfMnx+2k28uuwlGJMVk2JuTasZkSX30cLoiI+jBk48aNnHHGGXGdO23aNM477zyOOuooNBoN9957Lzk5OeTk5DB37lwmTJhAQUEBU6ZMGdCM7HhsnDhxIvfffz9fffUVRx99NAsWLOhzXIvFwtFHH83RRx8NqEvst956KzqdjuTkZJ555pkBsV8gGHJkGfwNar2zt62nsz0HukvYkqKw6WXY8HeQ23pFT78Sxp/dc6/odoKtEAmoETq7O+qi/eEYu5r9VLuCGHU6ch3JfYqIhKISL3xayTtf1QJqO8nrTyrB3rQ57qXuYESiJRAmw5pEqdNKqmV4Z3THg3DUhxmKorB582Z+8Ytf9HhOUVFRpxrkO+64gzvuuKPLeT//+c+57777aG1tZfr06R17wgfCRlD3/V955ZUut+9r/wMPPNDxeywWY/PmzTzyyCMAzJ8/n/nz5w+I3QLBsKGT9KcRHLlADzXO9d+oGd2tlepxwTFwws2q5nZvSJG2ftEWdS86ORPYjSQrNLiCVDT58YWiZFiTSNL37WS/rfWw+MPt1LpVydD5E7K5/PgiTDqobOrjwaifGy3+CDFZoSTDyogMc1zzHgwIR32YodFo8Hg8AzLWFVdcwbZt24hEIvzf//0fGRndCPX3g4G0cW82btzIOeecw6JFi8jMzBzw8QWCIScWAU+12ic6GlSbZ+iTuragBDUKXvc0fPNvQAGTA2bcAKVzeu4V3U7QpQqkOPIgfSQk2SAaBWBrnYd6bxSzUR9XFB2OSfzjs928tbEaBUi3GLlhziiOHJEK0GcjDYBITKbRF8KRbGC804rTNnx0ugcC4agF/aa7aPZAsW/UHA9Tp06loqJikCwSCIYQRVGztJvL2/o5O1Qn2hO7P4VVD6tL4wCj5sNxV6t9oHtDioKvAQxtUXSbellMktnTEgCgzhMi026JS3xkW52Xxcu2s6c1CMDcsZn8eGZJQjKe7mAUfzhKfqqZEqclrkzyg41D7xkJBALB4UTYpy5bu6pUSc6epD9B3U9e+xcoX6Ye23LUXtH50/qeJ+iCiE/di04rVaVAUeuTK5r81LtVieMcezLaPpx0VJJ5+fPdvL5hD7ICqWYD180exfTi+Es5JVmhwRvCZNAxIc+hZpL3UY99sCIctUAgEByMKIq6zN1Upjpra0b3qmJt5xY0r0L/+ivf9Yqe9EM4ahEY+tDVlqJq5K1vj6LzQKsjEpPZ0xpgd3OAmKyQaTVRFYfZOxp8LP5wO7vaIvCTxjj5ycyShLKy/eEYrmCEbLuJYqe1T9nRgx3hqAUCgeBgIxaGph3gqlQdrSOv531lTw26jx/kyJov1OP0tl7Rzl7aULYTckG4bS96ryi62RemoslPky9MSrIRS5K+z73kqCTz6voqXl1fhaxASrKBa04q5bjS+HNbZEWhyRdGo4HRWTYK0sxx63sfzAhHLRAIBAcTgRZo3K5GuVZnz1G0HIPNr8H659BKYSSNAY66DN3UC3puQ9lORxRtVpXI2qLoULRN/rM1AEp88p8AFU0+Fn9Yxs4mdXn8hJEZXDWrNKFIOBSVaA1FSLOo3a7SrQePBOj+Ihy1QCAQHAzIMrh3q0vdcqz3veimMrXkqmm7+tCcqSxPvZhZU45Cp+0jAg25IeRVx88YCSYHiqLQ6Amxs8mPKxAhNU75z5gk8/qGPfxzXRUxWcFm0nP1rFJmjnLG/bTbVRDdwShFGTaKMixx11QfKghHvZ/IcjdlDwLBAUC89w4jIgFVuMS1S210ocjqXvO+xCJQthS2vqOeY7TCsdcgjZyP/8vq3ueQY2pGtz5ZjaId+aDVEYi0CZe0htBrNeTEIf8JsKvZz+IPy9jRqDYpOrYkjWtOGklqAi0lo5JMg1etqx6f6yAvzXJIlV3Fi3DU/cRoNKLVaqmpqcHpdGI0Gnt9A8myTCQSIRQKdepOJTg4GE7XT1EUIpEIjY2NaLVajMaDX3lJ0Au+RmjapmZsmxzw6vXq731RchLMuF6VC+2ujnpvuomiZVmh3h1kZ6MfbyhGusUYVyQryQpvbNzDi2t3EZMVrEl6fnpiCbNGOxNysp5gFF8kRrbdxC4gy35o1UYngnDU/USr1VJcXExtbS01NT0o/uyFoigEg0GSk/sWABAMP4bj9TObzRQWFg75FwfBICHF1Ai6eYd6bG+ri7ZmqqVS9NAYR6uDufdA8cy+55Bj4K1XE9JyJqkdsrQ6fOEYlU1+alxBTHoduQ5TXO/7+iD85c1v2FavRtHTRqRy3eyRCe0nS7KaMGbQaRifY8NpMbAr7kcfmghHvR8YjUYKCwuJxWKd+iZ3RzQa5eOPP+bEE0/sV2tKwdAy3K6fTqdDr9cPmy8NggEm7FUTxrw1kJzSuffztCvgvdt7fuzcu+Nz0iGP+s+eq2aCJ6cgyQq1rQEqmvwEwhJOW1JcWdWSrPD2plr+vklHVPFhNuq4cmYJc8dmJvQeDURitPgjZNqTGOm04TAbiLYpnh3OCEe9n2g0mh77R++NTqcjFothMpmGxQe9IDHE9RMcEBQFvHVqEljYq+pt75uhnX80ZIzuSBT7Dg04R0NRH066Yy/aBNkT1Shap8cdjFLZ5KfWHcKapCc3pY/66jZqXEEeWVbGt7UeQMPUAgc3zBmN0xZ/FC236XRLisKoLCuFaRaMerFS1I5w1AKBQDAciEXURhot5aA3qpFuT60oQ+5uBlDUaLu3CDbkhZhXVSRLHwnJKUQlmeomH7uaA0QkmSxbEvo4omhZUfjv5lqeX1NJOCZjMmg5qyDKRaeMRaeP/8tsOCbR5A2T0lZ2lYiDP1wQjlogEAiGmqBLLany1oIlHQzm7s/b/j58sljN/Nbo1MxuFFVpLGOUGm13h9wmRiJHIeu7KLrFH6GiyUejN4zDZCTNEp+TrPOEeHRZGZur1S8Mk/MdXH9SCYHydQktdbsCEYJRicIMMyUZ1sOu7CpehKMWCASCoaJdBrRxO8SCar/o7sRIokFY/YjqqAHyjoIxp8NHv2kbR+45mg57we9Sf8+dCjYn4ZhEVYOXqpYAkhy/cImiKLz/TR3Pra4kGJVI0mtZdHwxp03MBlmiMs6nHZNkGnxhLEYdk/IdZNlMh6xO90AgHLVAIBAMBdEwNG+H1gowmtWl7u5oqYBl96qNNzRaOOoymHqx+vvmV6FxGzjHdI2m5Zha2qU3QuZ4KP8GJclBozdMRZOPFn+UVLMh7m5Tjd4wj35UxsYqFwATcu3cOHcUOQ51Lzveqn5fKIY7FCHHkUyJ05KQxvfhinDUAoFAMBTUbYJQc88yoIry3VK3FFbroef8EnKP+O6co6+ENX9Wf+4dTYe96nK6LUeti9ZbgW/Y0eCnxhNBq9GQ4zDFJVyiKAofbqnn6U8qCEQkjDotPzpuBGdMyY3r8e20l13ptRrG5djJS0mOay9cIBy1QCAQHDhkCVrbqoJDrrZmGt04q2hAddBl/1OP86bBnF9Acmrn8/Knwfl/22v8tihaZ1D3olMKULR6GlpVje1dLX4ybOa494KbfWEeW76D9btUgZWx2TZumjuavNT4MsLbCUYkmgNhnNYkSp1WUi1CpCcRhKMWCASCA0EkoCaMtbQ5alt29066ZSd8eA+4dqv3T7scpi7o/ty92TuKTi8Fcxr+cIxdzR72NHsByLGb0On7dtKKorBieyNPflyOPyxh0Gm45JgRnDU1L6697L3HafFHiMkKI51WCtPNJMUxv6AzwlELBALBYONrhMatahRtdQINXc9RFNj2XzVpTIqAOQPm/krtAd0bcgx8TaDTd0TRkkZPnStIRZMfXyhKmtlIEOLKyG4NRFiyfAdrK1oAGJVp5aZ5oylM6yETvQciMZlGX5iUZAMlTgtO2+ErAbq/CEctEAgEg0W7DGhTmbqHbM8DuRvpz2gAVj0EOz5Uj/OPhtm/UFXJeiPih0Ar2LLUumhzGp5QlMomN7WuIGajnlxHMorcu3JiO6vKGnl8ZTneUAy9VsNF0wv5wZH5CUXRoHa6CkRiFKYlU5RhiTthTdA94tUTCASCwaBdBtRTDebUvWRA93HUzeXqUre7Sl3ePvoKmHJR70vdigKBZjWado6FtCJi6Khp9lPZHCAYlXDaTB3ynz2ognfgDkZ5fGU5q3c0AVDitHDT3NEUZ1gSftp1niDJSUlMyHOQYxdlVwOBcNQCgUAwkOwrA9pTbbSiwJZ31KxtKQKWDJh7F2RP7n18OQa+ejDaIHsS2LJxBSJUNrmp84SwJRnIdcSf7LWmvIm/rCjHHYyi02q4YFoB5x2Vn3BGtj+siqo4rUmMzEnBLsquBgzhqAUCgWCgiEXUZLDWCjXzugcZUL0URLfiPtj5kXpDwbEw+04wpfQ+fjQA/mZ1XOcYonoLexpV+c+YrJBlM8XtYD3BKE9+vJOPyxoBKEo3c+Pc0YzMtPbxyM7Iilp2pWlTPxubY8csnPSAIhy1QCAQDARBlxpFe+t6lwFt3sGsbXehDde3LXVfCVMu6DurO9ACsbDakCO9FHcYyuvcNHhDOJKNpCfF/3H+eUUzjy3fQWsgilYDPzyqgAuPLoirU9behKISTb4wGbYkClOsfLaDhMcQ9I1w1AKBQLA/yLLajrIvGVBFgS1vo//0MQxSFMWSiWbuXWoHq17Hl9Slbr0ZcqYgWXOocYfY2egjKilxy38C+MIxnlmzk4+2qlnnBanJ3DRvNKOzbAk9ZUVRaA1EiUgyJU4rI9LN6OLWJhMkinDUAoFA0F+iIWjeocp7Gi09y4BG/PDxA7BzORqgzj6F9DPuwWBJ7f78dmIhtbTLlgUZY/Brreys9VLjDmI16kmzxL/EvKVVw79e+YpmfwQNcM4ReVx8zIiE20lGJZlGXwhrkoGxOQ4y28quolHhqAeLw8JRn3POOaxYsYK5c+fy2muvDbU5AoHgUCDQoups+xvBmgn6HjpPNZWpWd2eatDokI7+MWsjx3G6ydH7+CEXhP2QVoqSXkp9AMobXfjCUZxWU9xLzIFIjKdX7WTpVh0QIddh4qZ5oxmXY0/k2QLqvrYvEiPXYabEacGSwHK7oP8cFq/yjTfeyOWXX87f/va3vk8WCASC3pAlVTWseYeagd2TDKiiwLdvwadL1PaS1iyYexdyxjjYsKfn8RUZfA2gM0LOFELmbCqbglS1BknSacmxJ8ctHLKpysUjH5XR6A2jQeH7k3P40XHFCbeTbNfpNug1jM+xk5sS/3K7YP85LBz1SSedxIoVK4baDIFAcLDTLgPqroIkm1pS1e15Plj5J6hYqR4XzoCT7gSTHaRelohjYXWp25IBzjE0yxbKqz20+COkW5LidrDBiMRzayp47+s6ALLtSZxX4Gfe8UVodYk56UAkRmsgQqbNRKnTisMsMroPNEOenvfxxx9zxhlnkJubi0aj4c033+xyzpIlSygqKsJkMnHMMcfw+eefH3hDBQLB4Y2vAaq/UKNpq1N1ut3RuA1e/4nqpDU6OPZamH9fz+e3E/aqy+ipRUSzp7DTb2TTHhfeUIwcR3IXJy3JCpv3uFi5vZHNe1xIbYpnm6vdXP/PDR1O+nuTclh8/mRGJrjSLSsKjd4wvkiMUZk2JuU7hJMeIoY8ovb7/UyZMoXLL7+cc889t8v9r7zyCrfccgtPPPEExxxzDIsXL2b+/Pls27aNzMxMAKZOnUosFuvy2P/973/k5vaQ3CEQCATxIMXUZLHmHWpNtCOv29poFAW++Td89vh3S93z7lZ7QfeGoqgOWqOFrIm4TblU1Aeo84RISTZ2uw+8pryJp1btpNkX6bgt3WKkOMPS0ekq05bEDXNHMSU/BVnq+vnYG+GYWnaVYjYyMtNKhrWH/XfBAWHIHfVpp53Gaaed1uP9Dz30EFdeeSWLFi0C4IknnuA///kPzz77LHfeeScAGzduHBBbwuEw4XC449jj8QAQjUY7/ewPAzGGYOgQ1+/gfQ32y+6ID5p2gKemTQbU0qbVvY8oZ9iH7pM/oa1cBYBceDzSibery+P7LHVH246jkgxSFLwNYE5BThtFXcxC5a4WwjGJTKsJnZYuTvbTnS384YPtXUxt9kdo9quOe/74TC47rhCzUY8sxTrGiMdhuwIRwjGJ/NRkitIsJBm0cb12g/X+GMhx93eswbAlHjSKovQlA3vA0Gg0/Pvf/+bss88GIBKJYDabee211zpuA1i4cCEul4u33nor7rFXrFjBY4891mvW9z333MO9997b5faXXnoJszmxzjECgeDwIMW/k2mVS7BEGpE1Or7JvZCdzlO6j7r3E1mBezfocEUAuhtfwaKH306TELlew5tAIMCCBQtwu93Y7b3vSwx5RN0bTU1NSJJEVlZWp9uzsrLYunVr3OPMmzePTZs24ff7yc/P51//+hfHHXdcl/N+/vOfc8stt3QcezweCgoKmD17NmvXruXkk0/GYOjfHk00GmXp0qX7NYZg6BDX7+B9DRK2OxZRl7pbK0FvhOTUHpe6td+8gXbTk2jkGIo1G3nOXYx1jmVsb/bEJJZ+VcvJJQb0zlKa9NlUtATxhGI4rUm9ll1trnbjimzpZXQN/hj4MycxKe+78i9ZirF782cUTjoWra7rx74vFMMTjpLtMFGcYcHSj25Xg/X+GMhx93esgbSlfcU2Hoa1ox4oPvzww7jOS0pKIimp615M+wUxGAz7fXEGYgzB0CGu38H7GsRld9AFTdvAWw/WXmRAw15YeT9UfqIeF52IZtZt6JP6UPiSY+CvB0DJmURlLIXdDQH0Wi15qdY+y65cofhERVwhuVuHrNXpO93eXnal12kYn5dKXkpyws049mWw3h8DOe7+jjVQviBe+uWoY7EYK1asoLy8nAULFmCz2aipqcFut2O1Jibo3hsZGRnodDrq6+s73V5fX092dvaAzSMQCA5zZFkVJGkqU9XA7Lmg7aGMqWGLKmDiqwetAY69Giac0/dSdySgtqa05QA1fO1OojXoS6jsKhKLr690WhzZ2cGIREsggtNmpNRpJcVsjGtswYEnYUe9a9cuTj31VHbv3k04HObkk0/GZrNx//33Ew6HeeKJJwbMOKPRyFFHHcWyZcs69qhlWWbZsmVcd911AzaPQCA4jGmXAXXtUiNoe0735ykKbH4N1j4BigS2XDWr2zmm7zkCzRCLEEsfze5YOlCDNxAl22GJSzhEkhXe2ljN3z+r7PPcDKuR8bk9q54pikKLP0JMVih1WhiRbklYRlRwYEnYUd94441MmzaNTZs2kZ6e3nH7Oeecw5VXXpmwAT6fjx07dnQcV1RUsHHjRtLS0igsLOSWW25h4cKFTJs2jenTp7N48WL8fn9HFrhAIBD0G3+zWvccaOpdBjTkUZe6d61Wj4tnwazbwNjHCqIcU5fRjRa86RPZGbRR6/YD4LSb0MbhpOvcIR7+cDvf1qp7mqVOC+WN/h7Pv3JmSY/OPxKTaQ5GSUk2UJJpwWlNilvlTDB0JOyoV61axZo1azAaOy+TFBUVUV1dnbAB69evZ/bs2R3H7clcCxcu5Pnnn+eCCy6gsbGRu+66i7q6OqZOncr777/fJcFMIBAI4iZeGVCA+m9g2a+/W+o+7loYf1bfS93RIPibkK3Z1CWNoNylJRAJ47Qk0YuAaAeKovD+N3U8u7qCUFQm2aDjxzOLOXlcFp/ubO5SR51hNXLlzBJmlPaglga0BMIUptsozrCSbExMoUwwdCTsqGVZRpK67pPs2bMHmy2xVmmgynv2VSF23XXXiaVugUAwMET8am20azckOyCpB8emKLD5VVj7lLrUbc+Fefeo/aD7IuiCaICQo5SdciZ7miTMRg25juS4apmbfWEe/WgHG3ar4iUTc+3cNG80WXYTADNKMzimOJ1va9y0BKKkmQ2Mz3V0G0nHJJkGTxCAcTkO8tOscUXyguFDwo76lFNOYfHixTz11FOAWvvs8/m4++67Of300wfcQIFAIBgwfA3qUnfQBbZMtfFFd4TcsOIPsPtT9bhkNpx4qyp40huyBL5GFL2RZttYdoQcuIJq2VU8+8CKorByeyNPfFyOPyxh1Gn50XEjOGNKLtp9InidVsOk/JTen244hjsYIdOaRBWQ44hvuV0wvEjYUT/44IPMnz+f8ePHEwqFWLBgAWVlZWRkZPDyyy8Pho0CgUCw/zSVg6dCzebuSQYUoO5rdanb3wA6Axx3HYw7s++l7lgYfA1EkzPYrSugwm1Er5XJdZji2gd2B6M8vmIHq8ubARiVaeXmeaMpSEtcbElWFJq8YbRaGJttI8tqoOqrhIcRDBMSdtT5+fls2rSJV155hU2bNuHz+bjiiiu4+OKLSU5OHgwbBQKBoP+EverPpm1gS+85KlZk2PQKrPur+rsjH+beDRmj+p4j5IawD7e5gB2xbBr9GtLMhrj3gT+vaObPy3fgCkTRaTVceHQB5x1V0K9WkqGoRLM/TLo1iVKnlTSL8aCTfRV0JmFH/fHHHzNjxgwuvvhiLr744o7bY7EYH3/8MSeeeOKAGjgcEFrfAnH9DsLXQFHAV0+0vgyAqKVtqbu7NpMhN7qVv0e7R+3MJ5fMQTr+FjCae29LqcjgaySGjgZjMTv9DiRFJtOShE6rdLsfvbfudiAS4+nVu1i2tRGAwtRkbpo7klKnBRQJOb6y6banq+AKRIlKMiNSzRSmJ2PUa4hGowfk2gmt7/6NFQ8Ja33rdDpqa2s7Ole109zcTGZmZreJZgcbS5YsYcmSJUiSxPbt24XWt0BwCJPm28a0yr+QHG1F0hjYnH8Ju9JPGhSt7r0pc2t4cYeW1ogGDQqzcxVOL5AxiJLmw4JEtL4TdtRarZb6+nqcTmen27dv3860adMS0i8d7ng8HhwOB7W1tULr+zBHXL+D6DUIudSyK28DWNKJapNYuqmGk6fkdtbRVmS0X/0T7RfPolFkFEc+sTl3Q1pp33OEfchBNy2GTMpjWfhkAxl96HS3EwyH+ct/v+DjOvXcbHsSN8wuZUJugg2j23AHo/gjMfJSkilKN5PcjU73gbh2Qus7MTweDxkZGQPblKO9V7RGo+Gyyy7rpIktSRJfffUVM2bM6KfJwxuh9S1oR1y/YfwadMiAblcTu1Lz1MSxtqVrg077nSMNumDF76BKXepm5Dw0J9yCwdjHyllb7+iwJFNlGMHOWAYmo5G8OOU3t9V5eWjpNmrcqh2nTcxm0YziftU0xySZRl+YJIOWiflp5KYk97mnfSCundD6jn+MeInbUTscqiSdoijYbLZOiWNGo5Fjjz22X8pkAoFAsN9Eg9BcrsqAGnuRAQWo/UrN6g40qXvWx98IY07ve6m7TWWsVTGzU8mlUXaQYUsiSd+3k41KMv9cV8VrX1QhK+AwKNx0yjimFfcsTtIbnmAUbzhGjsNEUYYFR/Iw/OIkGDDidtTPPfccoCqQ3XrrrVgsfdQTCgQCwYGgQwa0GazOnmVAFRk2vAhfPKf+nlKoCpiklfQ9R8RP1NdMLensVHJRDFZy7MYutc3dUdnk5+EPt7OzSZX9nDUqg1NT6hhfmBL/c2wjKsk0tUXR43Ns5A5AtyvB8CfhrO+77757MOwQCASCxGiXAW0qA2Rw5PYoA2qMetB98ChUr1dvGHUKnHBTz20s9ybQjC8QpJJcqskmxWrGHEe/ZklW+PeX1by4dhcxWcFm0nPtSSM5rjiFyo118T/PNtzBKL62KLrYacFuElH04UK/2ly+9tprvPrqq+zevZtIJNLpvg0bNgyIYQKBQNAjEb+6F+3a0yYD2rN8saZ2E7O33os25gJdkuqgR58a11K35KmnKaJnJ8X4DRlk2Uxx1TbXuIIs/nA7W+rUGu7pRWlcN3skqRZjXBKiexNt24tONuiYkGuPay9acGiR8JrJo48+yqJFi8jKyuLLL79k+vTppKens3PnTk477bTBsFEgEAi+w1sP1RtUJ23L6tlJyxJseAHdez/DFHOhpIyAc56AMafF1VAj2FLNzpCVr5SRKNZsshx9O0hFUfjP5lpu+OeXbKnzkmzQceOcUfzye+NItSTe79kdjNLoC5NtNzG1MIWCNLNw0ochCUfUf/nLX3jqqae46KKLeP7557n99tspKSnhrrvuoqWlZTBsFAgEApCi0FIJLTv6lgENtMDy+6D6CzTA7rSZ5Hz/TgymvnNrlEArLreHnUoWzUm5ZNjtcZVdNfnCPLqsjC+rXABMznNw49xRZLY10kiEfaPonDi+JAgOXRJ21Lt37+4ow0pOTsbrVZd2Lr30Uo499lgee+yxgbVQIBAIQh51L9pTDea03ptj1HwJy34DwRbQm4jNuJEvvRPIMfQhcSxLhF111AehUlME1lyyLcY+dboVRWHF9kaeXFmOP6I20lg4o4jvT86JK9lsX9S96Ci5KckUZ1iwib3ow56EHXV2djYtLS2MGDGCwsJCPvvsM6ZMmUJFRUWf7SoFAoEgIRQFvLVqVnfUr5ZdaXv42JIl+PLvsOEFNas7tQjm3YNiL4QNfXSAjoVxN1WzJ2qn1lCII9WJydB32ZU7GGXJ8h18ulNtpDE6S22kkZ+auJJhVJJp9IYxJ+mYmOcQUbSgg4Qd9Zw5c3j77bc54ogjWLRoETfffDOvvfYa69ev7xBFEQgEgv0mFoaWndBSoZZc2fN6PjfQDB/dBzVtyaxjTofjbwC9qXetbiAacNHU1MxuMglYi3E6bHFFwp/tbGbJ8h24gmojjYumF/LDI/P75VzdwSj+cJQcEUULuiFhR/3UU08hy+ob/9prryU9PZ01a9Zw5pln8tOf/nTADRQIBIchwVY1ivY1gCUDelu2rv4CPvqt+hi9CU64BUaf0vccioyvpYZar0S1rghT+ggyTH0nfPnDMZ5atZOPtjYAMCLNzC0nj6bEaY332XXQHkVbknRMzE8h2x5fVrng8CIhRx2Lxfjd737H5ZdfTn5+PgAXXnghF1544aAYN1wQ3bME4vodoNdAlsFbo6qMxcJgze4kA9r5XAntxr+j/fLvaFBQUotVre6Uwk7nR9t+j+51mxQJ42qqoTqcjMdSjCMtG51W02fp1KY9bh5dXk6TL4JWA2dPzWXB0fkYdNq4y67az3N5gwRlyHaYGJFuxpqkR5ZiCXXMihfRPWtgxjpoumdZrVa+/vprioqKErXroEF0zxIIhjdJURdHVT6O07cFgMr0WXydfwmStgdVsv0kIsHbu7WsamukkZGkcMkoieKey7cFgl4Z1O5ZZ511Fueeey4LFy7cLyMPBkT3LEE74voN8msQaIamHX3LgAKa6vXoVvweTagVxZCMdPwtKKVze7Zbklm6qYZ5k3IIuOqoc4dpNuZjzSqO63lsq/Oy+KNyatwhAE6bkMVlxxXGlWy2L+5ABH84QmTXRo4/aQ4Oc+KlW/1BdM8amLGGffesdk477TTuvPNONm/ezFFHHdVF8/vMM89MdMhhj+ieJWhHXL8Bfg32lQFNy+9RBhQ5Bl88D1++CCiQVopm3t3oUwrjmqq5ppKGWDKRtEmkpWX3WXYVlWRe/nw3r2/Yg6xAusXIDXNHcWRhakJPESASk2nyh7AkGZjotLJhFzjMpgP+XhLdswZmrGHbPauda665BoCHHnqoy30ajQZJGoQNFoFAcOiRgAwo/ib46DdQu0k9HncGHHddr5F3Ox63G4BdUgrm3PHYzH2vV1c0+Xlo6TYqmwMAzB7j5CczS7GaEvvIVBQFVzBKKCqRl2KmKMNCklaUsQoSI2FH3Z7xLRAIBP3GW69mdYc9qgyorpfooupzVWUs5Fazv2feCiN7XupuJybJNNbXUOfyA8lYCyajN/YueiLJCm9s2MNLn+8mJivYTXqunT2SGaWJt6OMxGQafSGsJgMT8xxk201otZrDOiFR0D/61ZRDIBAI+oUUVeuiW8pV4RJ7bs8yoHIM1j8HG19Uj9NLYd694MjvcxpfKERD9S6aokmQOQkqdqDt7csAaiONh5ZuZ1u9qrZ4THEa184eSao5MY3uvaPo/FQzxRkWLEnio1bQf8S7RyAQHBhCHnWp21MD5nQw9lJJ4WtQl7rrNqvH48+CY6/pc6lblqHZ5aKxvhqPMYvkwrFtrSx39PwYReG/m2t5bk0lkZiM2ajjJzNLmDM2s8997H1pj6JtJgOT8h1k2dQoWiDYH4SjFggEg4uiqM65aTtEA73LgALsXqsudYc9qpM98TYond3nNKGoTH1dNc0eH3LqKCyZpaA19Frf3OgN8+hHZWxsa6QxJd/BDXNHkWlLLBtbURRcgSihmERhmpkR6SKKFgwc4p0kEAgGjw4Z0J2qapg9t+dz5RisewY2vawep4+CeXf3udStKNDqC9JQsxuPbMSUewQae06vrSwVReGjrQ08tWongYiEUa9l0YwiTp+UeCONcEyiyRdWo+hsEUULBp6Elcleeukl5s+fT1ZW1mDZJBAIDgUCLWoUHY8MqK8Blv0a6r9Wj8efDcde3edSd0SSqW920VJfTcyShTlnHEqSo9fHuAIRlqzYwWc71ba8Y7Js3DxvNHmpfXTX2od9o+iiDAtmo4h9BANPQu8qvV7PVVddxZYtWwbLHoFAcLAjy+DZozrpWFSNorW9iIPs/hSW/75tqdsCs26DkpP6nMYTjFFbV4vP58aQMYqkjJEout4Tv9aUN7Fk+Q48oRh6rYYF0ws5tx+NNNQoOoLdpGdydgqZtiQRRQsGjYS//k2fPp2NGzcyYsSIwbBHIBAczESDqsKYaxckWcGe3vO5cgw+fxq++qd6nDFaXerurUsWEJMVGj1BGmuqiGn0mAqORLblofSyZB2IwcPLdrBiexMARelqI43ijMQaaSiKQmsgSkSSKExLFlG04IDQL8GTW265haqqqm6VySZPnjxgxgkEgoMEKQa+OrX0KtgK1szel6199W1L3d+oxxPOhWOvgj4iYn8kRk2TB29TNQZ7FqbMsUimlF4fs7HKxcObdLgiTWg18IMj87loeiEGXQ8KaD3QHkU7kvWMyU4hy56UcFa4QNAfEnbU7Z2ybrjhho7bNBoNiqIIZTKB4HBDUcDfCK0V4GsEgwkceT3LgALsWgMrfg9hLxgtMOsOKD6x12lkGZr9YWrrG4iF3CRnliKljUTS95ydHYpKPLemkv9urgU05DpM3DxvNGNzetdV7voU26NomRHpyRSlW0k2Jq7zLRD0l4QddUVFxWDYMawRbS4F4vp18xqE3OCqUkuvtFowO9WyKxna/uuMFEW7/ml0X/8LADljDNKcu8CW030byzYiMZkalx9XUy1GvYGknMlEbLnql4EeSq+21Hl55KNyatsaaczMlrnmtHGYTUlxt6ME1dm3+CM4kg2MzLbgtBrRaGSi0f4rNA7Fe0m0uRyYsQ6aNpeHA6LNpUAwsCSHG5lW+RfSAuUAlDvn803uBSi91VP3g5gM/63S8lGNBgUNKUaFBaUyY1LEx5xgeDGobS4BysvLWbx4cUf29/jx47nxxhspLS3tn8XDFNHmUtCOuH4QDQVY+tEKTh5txRDzgTlVXbruA82u1eg+vh9NxIditCLNvB2l6ITe55IUGjxBGppbSIp5MaYVEk0pQdH3XEK1s8nP4mXl7GpRG2nMGZPBFccXYdbD7s2fUTjpWLS6vr8Y7B1Fj8hoj6IHbi96KN5Los3lwIx10LS5/OCDDzjzzDOZOnUqxx9/PACrV69mwoQJvPPOO5x88sn9s3oYI9pcCto5LK+fLKnJX41qNGzQazDYC1RBEV8DhFzdP06KwdZ3Ydt/1WPnODTz7kJvy+l1Om8oxp4WP/7WeuxJWjSZk4jYCtBodXTnLiVZ4bUNe/hnWyMNR7KBa2eP5LiS9Dbz1aVurU7fq6NWFIUWf4SYrFCcaWdEumVQ96KH4r0k2lwOzFjDvs3lnXfeyc0338wf/vCHLrffcccdh6SjFggOSxRFFS1prVAdNW0fLCaH6qSlCPz7p2qWd19MOh+mX9lrlyxJhgZviJoWLzp/Aw5HOrHUUUTNzh4fs6c1wOIPyzoaaRxXks41J5WSkmAjjVBUotkfJsVspCTDgtMmMroFw4eEHfWWLVt49dVXu9x++eWXs3jx4oGwSSAQDDUhD7h2g7tKPbY4AR2w57tztAa1DCvoAnrYQdNoYd6vobj3pe5ARKLaFaS51UWK4kGXUUAkdRSyofuldVlRePerWv72qdpIw2LU8dNZpZw02pmQg5UVhda2KLoo3UJRhgWTQWR0C4YXCTtqp9PJxo0bGTVqVKfbN27cSGZm5oAZJhAIhoBoEFx7wL0LoiGwpKsa3dA1M1ujgWlXwHu39zzerDt6ddKKAk3+MHtag0jeJjKSQEodS8he1GPjjgZPiEeWlfFVtRuAqQUp3DBnFE5b73Kj+9IpinZacFpFFC0YniTsqK+88kp+8pOfsHPnTmbMmAGoe9T3338/t9xyy4AbKBAIDgBSFLy1qmBJyA3JKWoryr7IPxqcY6BxO52jao2qNDbqlB4fGo7J1LgC1LsCWCMt2K02IqmjiJmzum2ooSgKy7aojTSCUYkkvZZFxxdz+sTshKPoFn8ESVYozrAyIt0somjBsCZhR/2rX/0Km83Ggw8+yM9//nMAcnNzueeeezqJoAgEgoMAWQZ/A7RUQqBRzeJ25PfaeaoT/gbQJdF16VuBo6/ocZzWQJQ9rQH8fi/peNGk5RJKGYlstHV/vl9tpLG2Qm2kMS7bxk3zRpObklgjDRFFCw5G+tU9a8GCBdx88814vWoCh83W/R+XQCAYxgRaVE1uT426zGzL6b15xt7EwvDVK/DliyCFO9+n0ULGKDXa3oeorFDnClHrCWIIu8kyxIjaRxF2FPXYUGP1jiaWrNiBt62RxsXHjOCcI/ISbqTR7Asja3SUZFgpFFG04CBiv7pnCQctEByEhH3QukvtcCVLagvKPjS2O1AUNLtWw9rHwVuj3pY9GUrnwOrFbefI6t71PpGqNxSj2hWkxRcgTXGTlGwmnDKOqKX73tG+UIwnPi5n5fZGAIozLNwybzRFGX3Xbu9NMKLKGpuMOkZlp5AxwHXRAsFg06/uWV9++aXoniUQHGzEwuCuhtZKiPjBkgaGBBT33FUcu/NB9Bu/Uo/NGWojjdK56vH296Bxm7pnvVc0LcnQ6AtR7QoSCwfJ1nhRrE4CKSORk1K6nWrDrlYe+aiMFn8ErQZ+eFQBFx5dkFAjDVlRaPZFkCRVqnFyngOrObGEM4FgONCv7lk/+9nP2LNnj+ieJRAcDOzb2crkgJT8+B8fDcCGv6Pf/C+y5BiKVo9m0nlw5KWdHf3RV8KaP6s/2yLWYFvZVYM3hE0JkK4LE7EVEUkpQdF1dZrBiMRzayp47+s6APJSkrl53mjGZCe2eheMSLQEwqRZjBSkWPi8HJLEUrfgIEV0zxIIDlUUBfxN0Loz/s5W+z6+fBl89gQEmtAA9fbJpJ3yMwxp3ayo5U+D8//W8dCWQISqlgDBSAQnXvRGAyHHBKLW3G5t+KbGzeIPy6jzqI00zpicw4+OK0poL7k9ipZRKHVaKUgzo+uuQYhAcBAhumcJBIciQVfbPnS12tnKltVjXXK3NO+A1Y9CXdsyty2X2LHX8FljAac7Cnp9aDgmU+sOUecOYdRI5CgtSMkZBFNHIZlSu5wficm8uHYX//6yGgVw2pK4ce4opuSnxG8vEIjEaA1ESLMYKXFaSbeoe9H70+lKIBgOJOSoo9Eoc+bM4d1332XcuHGDZZNAIOgvkcB3imJSRK2F1iewLxvywPpnYcvbalKYLgmOuAQmn4+iMUDTnl4f7gpEqXYFcQcjpOoiJMt+Io5CIo6RKN30jt7R4OPhD7ezu62Rxrxxmfz4hBIsSfF/NMmKQpMvDBoodaoZ3Ul6scwtOHRIyFEbDAZCodBg2SIQCPpLLKJGz62VEPaCOU3N5o4XWVKbZ3z+Vwh71NtKToJjrwZrlnrcW89oSabeHaLOE0KRFbJ1XjQaDaHUsURt+V3KviRZ4V9fVPHPdVVIskJKsoHr5ozkmOI4RFb2IhCJ0RKIkGFNojjDQoZVJIsJDj0SXvq+9tpruf/++3n66afR6we2l+xwZSCahQ9Fs3jBwDFsr58sgb9RXeYOtIDJCtbctqYZ8S35auq/Qffpo2iaywBQUoqQjrsOJfdI9YS2caL7/GzHFYhS5w7hDkWxGxQscisxvZ1wSilycrq6Yd3WwQqgqjXIIx/toKzBD8CMkjSuPrEYe7Kho9NVX0iyQotfjaJL0szkpyZj1Gu7vT7D7doNhT0HYs7BmmMgx93fsQbDlnhIuB/1Oeecw7Jly7BarUyaNKlL1vcbb7yRyHDDkiVLlrBkyRIkSWL79u289NJLmM0JlLEIBAcBSVEX42teobBlNQBRnZmt2edQ4ZyLohn4L+GyAh/XaXh3l5aooiFZp/DDYpmjMpS4hdAEgkOFQCDAggUL4upHnbCjXrRoUa/3P/fcc4kMN6zxeDw4HA5qa2tZu3btfjULH4pm8YKBY1hdv7BXbZzhadsvNqf12j6yC3IM7TdvoP3yBTRRdW9YHn0a0rQfQ3LXZK92opLM0k01zJucSyAiUesO4glFsesVLDE3st5ExDaCmDW7S+JavSfEo8t38nWNuqx+RIGD608qJd0afztKSVZo8YXRaCE/tT2K7nsvelhduyGy50DMOVhzDOS4+zvWQNri8XjIyMiIy1En/LX5UHLE8dJ+QQaqWfhw+LAQ9I8hvX77dray7tXZKl72rIc1j6oJZwDOsXD8DWgzxxOvlEi9J0SjN4JWo5Cr96NVogRteWz0p9PcqCfNH2J8rgOdVi3bXLqlnqdXVRCMSpgMWi4/vphTJyTWSEPN6I6RYUumOMNCej/2oofb395Q2HMg5hysOQZy3P0da6B8Qbz0a30rFouxYsUKysvLWbBgATabjZqaGux2O1artT9DCgSCnuhvZ6u98dbCp49D5cfqsSkFpl8JY06Lq65aUdTGGAA17iDpBonkmBvJlMqHrU4e/6iZZr+r4/x0q5EFRxfy6c5m1u9qBWBcjp2b540ixxF/Iw1JVmhui6JHZap10UZ9/OpkAsGhQMKOeteuXZx66qns3r2bcDjMySefjM1m4/777yccDvPEE08Mhp0CweGHLKuJYi0V6s+kBDtbgSobuull2PiSWq6l0cKEc+CoyyApPrWvUFSm1h2kzqVWfGThRo+ecOooVjZY+N1H5V0e0+yL8OflOwDQazVceuwIzpqaWCMNfziGK6hmdJc4raRZ4l8mFwgOJRJ21DfeeCPTpk1j06ZNpKd/963+nHPO4corrxxQ4wSCw5Z9O1vZu+779oqiQOUn8NkS8KpynORMheNvgLSSuIdoCUSoaQ3iDUVxaAI0ALI5g2BKMRFjCk++ua7XMXRaDQ+dN4ViZ/wrbZKs1kXrtDAq0yaiaMFhT8KOetWqVaxZswajsfO326KiIqqrqwfMMIHgsGR/Olu149oFq/8M1evVY4sTjr1GrYuOMxoPRtVksQZPGCMxcjQuYjoLIBNKH4/WYOLbPS6afZFex5FkBV84vpIr+C6KdtqSKM4QUbRAAP1w1LIsd6vnvWfPHtH2UiDoL/vb2QrUx234G2x+HRQJtAaYcgFMvRgM8e0LyzI0B8JUtwYJhKNkaLwYtDJRWyFhSwE0buiI7FsC8dWBxnOeJCs0+8NoNTA6y0Z+qoiiBYJ2EnbUp5xyCosXL+app54C1IYcPp+Pu+++m9NPP33ADRQIDmn2t7MVqFKfZUth7ZMQbFFvK5wBM64Fe17cwwQjEjXuIA3eMMlyiBx8yKZ0Qo4iYslOZLnzF/Q0c3xZq32d5wvHcLdF0SUZVlJFFC0QdCJhR/3ggw8yf/58xo8fTygUYsGCBZSVlZGRkcHLL788GDYKBIcenTpbNagRbyKdrdpp2g6rH4H6b9Rjex7MuB4Kj417CFmGZn+YPa4goVCIDI0PvcFAxDaaqC2/23aUgUiMldsb+xw7w2pkfK6j2/va96L1Wg1jsmzkp5kT6jctEBwuJOyo8/Pz2bRpE6+88gqbNm3C5/NxxRVXcPHFF5OcHH/ZhUBw2NKls1WCiWKglmmtexq2vAsoaj31kZfCpPMS2tMORCRqXEEavSGsso8cbYSoJZugvQjJlNLtY76qdvPn5Ttp8Ib7HP/KmSXdZnr7wjE8wQgZtiRKnVZSzCKKFgh6ol911Hq9nosvvpiLL754oO0RCA5d9rezFagJZlvegfXPqAplAKVz4dir1KSxOJFkaPKFqHGFiIQCZGrcaEwOQo4xRM3ZXZpoAISiEq9XaPn40y0AZNqSuGHuKPzhGE+t2tkpsSzDauTKmSXMKO3cGKRTFJ1tIy9VRNECQV8cHl01BIKhpFNnKx+YUxPrbNVO7Vew5hFobqtbTitVy61ypiQ0jC8So9YVotETwC57SDFA1FpCxD4CpYcEtm9q3DyyrIxat+pU50/I5vLjizAb1Y+QY4rT+bbGTUsgSprZ0KFM1mneUAx3KEKW3URxhkVE0QJBnAhHLRAMFrKk7j+3VECgWe1s5chLTLAE1L3stU/Ajg/VY6MVjr4Cxp2R0JJ5rC2arXGFiAU9ZGkDYMkg5CgmlpzRrV3hmMQ/PtvFWxtrUIAUo8JNp4zjqKLOXzR0Wg2T8lO6nbcjitZpGCuiaIEgYYSjFggGGkVRBUtaK9WMbp0R7DndLif3ihSFza/Bly+oOt9oYOz3YfoVqgRoAnjDahTd7PHhkFwkJycTsY8jas1D6WFPe1udl4c/3E61KwjA3LFO5tlqGV8Q/9x7R9ElGVYccWaKCwSC7xCOWiAYSEKe7/ahQd03TqSzVTtVa2HNY9+Nkzkejr8RnGMSGiYmKzR6w9S4AiiBVrIMMaSUXAKOIuSklG4fE5VkXlq7mze+3IOsQJrZyLWzRzKt0E7lxtr45pVkmv0RDDoN43Ls5KUkoxdRtEDQL4SjFggGgn07W1n60dkKVMnQT5fALrVHNMmpcMxPYdQpCZdueUMxalxBXF43dslLkjWFiKOYqDmrx+h+R4OPhz/czu4Wtf3lSWOc/GRmCTaTAVmKT2HMG4riDUfJspkoFlG0QLDfxOWoU1NT425J19LSsl8GCQQHFQPR2QogFoIvX4Sv/qmOqdHBxB/AUT9S96QTICorNHpC1Lj86AItZCRpkVJLCdgKe0wWi0oyr6yv4l/rq5AVSEk2cM1JpRxXGn/SmyQrNPpCGHVaxmaLKFogGCjictSLFy8eZDMEgoOMgehsBep+dsVK+PQv4G9Qb8s7CmbcAKkjEjbLE4xR7QricTfjIIDBkUmkl2QxgIomHw9/WEZFkx+AE0ZmcNWsUhzJ8UfC7epi2XYRRQsEA01cjnrhwoWDbcewJhqNdvo5VGMIho5O1y/Yqu4de2rVrGtLpvpTVgAl/kFbK9B9+hja2i8BUCyZSMdcg1I0U3Wqkhy/fZJCozdEQ6sPXaiFFLMZyTEevyVbTRaTu+rzxySZ17+s4ZUvqpFkBZtJz1UzizlhpLoisO9Sd/vx3re394vWazWMTDeTm5qMQTe83ufD7W9vKOw5EHMO1hwDOe7+jjUYtsSDRlGUBD5ZOhMKhYhEOnfPsdvt/R1u2LBkyRKWLFmCJEls376dl156CbM5wQYJAkEP6KUAY2v/TXHjUrTISBoDZVnfY0fW95C0CQqg9JPaALy4Q0eVX42yJ6XKnF8iYxelzQLBASEQCLBgwQLcbneffjNhR+33+7njjjt49dVXaW5u7nJ/d521DlY8Hg8Oh4Pa2lrWrl3LySefjMHQvyW9aDTK0qVL92sMwRARixBtqWLp+m2cXAQGWz86WwEoMpqyD9CtexpNqBUAecTxSMdcA7achIeLSDKNnhCNrW4MoRZMtnRiKUVIyc4ek8UkWeHNTTW89PkeYrKCNUnHlScUM2tUep95KLIUY/fmz8ifeAzukIykKBSkmilIS8aoT7D07AAy3P72hsKeAzHnYM0xkOPu71gDaYvH4yEjIyMuR51w1vftt9/O8uXLefzxx7n00ktZsmQJ1dXVPPnkk/zhD3/ot9HDmfYLYjAY9vviDMQYggPE3p2tfGqSpCEtv39iHQ1bVVWxBlV+E0cBHH8D2vyj6U+6VWsgSk2rj6CrHptRjzZnLBF7IYo+ucfx9rQGWPxhGdvqVenRaSNSuW72SNKtiUXxDb4YqbZkSp1WMqzGuBNNh5rh9rc3FPYciDkHa46BHHd/xxooXxAvCTvqd955hxdeeIGTTjqJRYsWMXPmTEaOHMmIESN48cUXhf634OCno7NVBfjq2zpb5QI1iY8VdMHnT8G29wBFHevIhWpGdz/qq8MxmXpPiMbmRgxhL/bUHGIpxURN6T0mi0mywjubavj7Z7uISDJmo44rZ5Ywd2xm3E5WURRcfnWbqyA9mZFZKZgMwzeKFggOJRJ21C0tLZSUlADqfnR7OdYJJ5zA1VdfPbDWCQQHmp46WyWQ2AWAHINv34L1z0JEzaZm1ClqTXQ/yrcUBVzBKDXNbkKuOswWK5q8KYRtuaDt2eHXuII8sqyMb2s9ABxRkML1c0bhtMUfRUclmUZfCLNedeqjM20YhZMWCA4YCTvqkpISKioqKCwsZOzYsbz66qtMnz6dd955h5SUlEEwUSA4AHTqbBUGc0bina3aqfkSVj+qRuQA6SNVVbHsSf0aLhyTqXMFaW6sRa9EsWWOIOooRjb2vK8lKwr/+aqW5z+tJBKTSTbouOKEYk4Zn5XQUrU7GMUfjpKXaqYgxciKrRw0S90CwaFCwo560aJFbNq0iVmzZnHnnXdyxhln8NhjjxGNRnnooYcGw0aBYPDo6Gy1S20b2d/OVqA24Pjscdi5XD1OsqvNM8Z+P3Gdb9QoujUQobaphbC7kWR7BqSXEjZn9qpSVucJ8eiyMjZXuwGYnOfghrmjyLLHr5QWk2QafWFMBh0T8hzkOJLjViYTCAQDS8KO+uabb+74fd68eWzdupUvvviCkSNHMnny5AE1TiAYNDp1tmoCk61/na1A7S391avw5T9UhTGNVu1sNe1yMDn6ZV4oKlPb6sPVWINOq8WcM5aYYwRKL7KkiqLw/jd1PLe6kmBUIkmvZdGMIk6blIM2geflC8XwhCNk2UyUZFqxm9Sl9W5KsQUCwQFgv7W+R4wYwYgRiSsoCQRDQredrXL7FfECsGsNfPqYqtEN6vL2jBsgY1S/zWsJRKivryfka8WUmgtppUSTe9/XbvSGefSjMjZWuQCYkGvnxrmjyHEkxz23JCs0+8PoNBrGZNnITzULCVCBYBiQsKO+4YYbGDlyJDfccEOn2x977DF27Ngh5EYFw5e9O1sp9L+zFYB7j9rdquoz9dicDsdcBSPn9S8qB4JRiboWN+7GWjRGC8kFRxDrI1lMURQ+3FLP059UEIhIGHVafnTcCM6YkptQFB2IxGgNRMmwGil1Wkm1COUTgWC4kLCjfv3113n77be73D5jxgz+8Ic/CEctGH4MVGer9rG+eEld6pajakb4pPPgiEvB2D/1OlmGZn+QhrpawqEgSemFkFZCzGjr9XHNvjCPLd/B+l2qeMqYLBs3zRtFfmr8dsiKQrMvgqJRGJlpoTDNglEvomiBYDiRsKNubm7G4ei672a322lqahoQowSCAUGKgbdm/ztbASgKea2foX/tVXVPG6BgOhx3HaQU9tvEYESirqkZV0sDGlMqphETkSy9J4spisKK7Y08+XE5/rCEXqvhkmNHcPbUPHTa+KPoUFSi2R8mxaxG0YmUbAkEggNHwo565MiRvP/++1x33XWdbn/vvfc66qsFgiEn4lfVwDw1/e9s1U5zObrVjzKtbpN6bMtRHfSIGf0eU5ah2RugoW4PwZiMyTkGUkcg9RHptwYiLFm+g7UVqn7ByEwrN88bTWFa/FG0oii0BqJEJJmidAtFGRYhXiIQDGMSdtS33HIL1113HY2NjcyZMweAZcuW8eCDD4plb8HwwN8MDd+qUbS9TbCkP4S9qmDJt2+hVWRiGiOaIy5GN/XC/tdYA4GIRF19HR5XC4oth+T8UuQ+ksUAVpU18vjKcryhGHqthgunF/LDI/MTiqKjkkyDN4TdZGBsjoNMW5KoixYIhjkJf4JdfvnlhMNh7rvvPn7zm98AUFRUxOOPP86PfvSjATdQIIgbRVETxRq3gSKp2dz9cUKypEp+rvur6uwBuehEPrKczewjpqLrZya0JEOzx0tTbRV+xURy7lQURx5yH18k3MEoj68sZ/UOdcm9JMPCTfNGU5xhSWj+dvGS/FQzJU4LZuN+F30IBIIDQL/+Uq+++mquvvpqGhsbSU5Oxmq1DrRdAkFixCLQUg7N5ZBkBVM/RUvqv4HVj0DTdvU4tQhmXI+UfQTBDXv6bZ4/HKG+roZWjx9NaiHmjFJkY99/N2vKm/jLinLcwSg6rYbzj8rnvGkFCTUGiUkyDb4wZqOOifkp5NhNaBOIwgUCwdCyX1+pnU7nQNkhEPSfsA8a2/ajLRlq44tECbSozTO2v68eGyxw1GUw8Zz+aX23IcnQ1NpMY0MdAZ0DU+HRaKyZyL0kiwF4Q1Ge/HgnK7c3AjAizcxN80YzMjOxL8Xt4iXZ9mSKnZYO8RKBQHDwEJejPvLII1m2bBmpqakcccQRve5pbdiwYcCMEwj6xNeoOumQG+w5ie9HyzH4+t/wxfMQbWueMfpUmP4TMKftl2neYIjG2j00B2U0qaMwZxT1qizWzucVLTy2vIzWQBStBn5wZD4XTS9MKIqWZIUmXxi9TsPYbDt5KclCvEQgOEiJ61PtrLPOIilJTZ45++yzB9MegSA+ZBncu6GpDBS5f/vR1V/Amj+rKmUAzjGqqljWhP0yLSYrNDfW09jcjM/oxFw4Co0lHaWPx/nCMf66aicfbW0AID81mZvnjWZ0Vu/11PuiipdEcNqSKHVaSTEL8RKB4GAmLkd99913d/u7QDAkxCKqg3ZVgtEKpp67SHWLtw4++wtUfKwemxww/UoYc3qv9ctxDe3z01RXRVPMiDZjEpa0/Lii/C92tfLnj8po9kfQAGcfkcfFxxSSpI+/bKqzeIlViJcIBIcIIu1TcHAR9qr10d5asGZ2LZPyNUDI1f1jYxGoXAXfvKm2stRoYfzZMG0RJCUWte5LVJJorq+mwe0nYMolOXckWlPfYwYiMZ79pIIPvq0HIMdh4qZ5oxmfk9iXj3bxkjSLkRKnlQyrEC8RCA4VEnbUqamp3e5RazQaTCYTI0eO5LLLLmPRokUDYqBA0IGvARq2QMTb/X60FIF//xSCrX2PlTNF7RGdtv8iPR63i8aGOhplK/rMI7GkZMe1DL+pysUjH5XR6A0DcMbkHH50XFFC4iOKotDijxCTFYozrIxINwvxEoHgECNhR33XXXdx3333cdpppzF9+nQAPv/8c95//32uvfZaKioquPrqq4nFYlx55ZUDbrDgMESWwbVLLZnSaMDWw3601qBG2UEX9LQjrNXBSf8HpXP6r1TWRjQapbl+D/U+CZ+5CGtWCVpD38liwYjE859W8t/NtQBk2ZO4ce5oJuUl1hIzEpNp8IVISTYwzmkV4iUCwSFKwo76k08+4be//S1XXXVVp9uffPJJ/ve///H6668zefJkHn30UeGoBftPLKzuR7dWqnvRvS1RazQw7Qp47/aez5l3DxTN3D+bFAVPaxMNLc00kIYheyR2e3x1219Xu3lkWRl1nhAAp03MZtGMYpKNiUXBrkCEYFRiRJqZogwhXiIQHMok/Nf9wQcfcP/993e5fe7cufzsZz8D4PTTT+fOO+/cf+uGCdFotNPPoRrjsCPsUaNobwNYnep+dF/1zDlHoUstRtNawd6xpaLRoqSPQsqf0a+a6GjbYwIBP57mOhrCBvzm0Vgz8tHp9chSrPenEpX4+9oq3t1chwI4rUaum13K1HwHoPT5+L3taPKHMRt0jMtSo2itRjkg76uD9T083OweCnsOxJyDNcdAjru/Yw2GLfGgURSlr6qRThQWFnLzzTdz8803d7r94Ycf5uGHH2b37t189dVXnHLKKdTV1SUy9LBhyZIlLFmyBEmS2L59Oy+99BJmc/9aGAoOLLmtn3Hkrr+iU7r+EawpvZVG++QDblOFF17coaMxpH51OC5T5uwRMiYRBAsEhy2BQIAFCxbgdrux23tPHk34o+JXv/oVV199NcuXL+/Yo163bh3//e9/eeKJJwBYunQps2bN6ofpw4Nrr72Wa6+9Fo/Hg8PhYPbs2axdu5aTTz4Zg6F/yk7RaJSlS5fu1xiHBbIEripo3qHuJ1vibEspRdCufRxd5VsAKPpkkMJoFLkjmj561mn92peOBLw01dezsdVESs4IbBl5cel9R2IyL62r4q1vapEVSLMYuG5WCUeNSE1ofklWaPaFMeg0jEi3kJOSnFAjjoHiYH0PDze7h8KeAzHnYM0xkOPu71gDaYvH44n73IQd9ZVXXsn48eN57LHHeOONNwAYM2YMK1euZMaMGQAdS+CHCu0XxGAw7PfFGYgxDlmiIWhp2482p6g10vHgqYUP7/5On3vqJWiyJ8D7PwdAo8hojr4CbQI1yQBKLIqnuZZav0S9Lg9oJiWrAK2u7z+b7fVeFn+4narWIABzxmRy5cwSrAmG0ap4SZRMu5lSpxWHeejfOwfre3i42T0U9hyIOQdrjoEcd3/HGihfEC/9Wnw7/vjjOf744/vzUIGge4IuVQrU19B9fXRPVH4CK36v9p9OssPsX0DhMWonLecYtZOWcwzkHx2/LYpC2NdMU4uLPVIKYVsRdkcqrqbVfT40Ksm8/PluXt+wB1mBFLOB62aP5JjiOFcG2pAVVQJUo4FRmTYK080JSYgKBIJDh345akmSePPNN9myZQsAEyZM4Mwzz0SnE/WbggRRFFUprHErRAOqFKg2jveRHFObaHz1qnqcOR7m3Q3WLPVYo4Gjr1QlQo++Mu4lbyUSxN1SR03AQIOxFLOzgFSTMa5kr/JGH4s/3E5lcwCAE0c5+emJJdiTE/vm3S5ekm5NoiTDQroQLxEIDmsSdtQ7duzg9NNPp7q6mjFjxgDw+9//noKCAv7zn/9QWlo64EYKDlFkCVoq1PIrvUF10vHga4Blv4b6r9XjiT+EY34Kun0cYv40OP9vcdsScjfS6A2wR3YSTSkk1ZGCNg4HH5Nk/vXFHl5ZX4UkK9hNeq45aSTHj0ys1ebe4iUlGVZGZJgTkhAVCASHJgk76htuuIHS0lI+++wz0tLU7kLNzc1ccskl3HDDDfznP/8ZcCMFhyDRIDRuB9duMKeC0RLf4/asg49+q3bLMljgpDug+MT9MkUJeXG1NlIdsdCgH40tMxdrnHXJlU1+Hl62nZ2NauetGaXpXD2rNOFGGJGYTKMvTEqygRKnBacQLxEIBG0k7KhXrlzZyUkDpKen84c//EHsWwviI9iq6nX7G8GWBbo4nJoswYa/wYa/Awqkj4KT7wF7Xv/tkKKE3PU0+GV2U4BkzyXDbo3LQUqywusb9vDy57uJyQq2JD1XzSpl5qiMhB1sayBCKCpRmJZMcYY1YfETgUBwaJOwo05KSsLr9Xa53efzYTSKdnqCXlAU8NSoCV6xMDjy4utWFWhRo+iatl7n486A466LP+GsGztkfwtur4fdsVQaDXmkpGXEvcxc1RLg4Q+3U9bgA+CY4jSuPWkkqZbE3v9RSabRG8aSpGNinoNsuwntEJRdCQSC4U3Cjvr73/8+P/nJT3jmmWc66qjXrl3LVVddxZlnnjngBgoOEaQYtOyElnI1grZnx/e42k3qfnSgGfQmmPkzGHVy/+2IBgm5GqiNJLGbEjT2bDKtpriiYFmBN76s4aV1VUQlBYtRx09OLGX2GGfCUbQnGMUbjpGbYqLEacWaJNRPBAJB9yT86fDoo4+ycOFCjjvuuI46sFgsxplnnskjjzwy4AYKDgEiAWjapgqZmNPBGIfKmyLDppdh3TPq76lFMO9eSB3RPxtkCdnXRGsgTKXkpNmQQ3pKatz9mqtdQR75WkelbzcAR41I5frZIxPOyJZkhUZfCKNey4RcG7kp5iERLxEIBAcPCTvqlJQU3nrrLcrKyti6dSsA48aNY+TIkQNunOAQINCi7kcHm8GW3TUzuztCbrU2evdn6vGoU+CEm8GQ3D8bQh6CvhZqonaqKEBrd5JtNsYZRSu8+1UNf/t0F5GYhmSDjh/PLObkcVkJR9H+cAx3MEKm3URJxvAQLxEIBMOffq+3jRo1ilGjRg2kLYJDCUUBT7W6Hy2F1dKrePajG76FD+8FX73q1I+/EcZ8r38tKaUIkreRloiOSrmAVmMmGXZb3MIhde4Qi5dt55saVepvtEPm9jOOICslzgz1djPaJEC1WhidZSM/TYiXCASC+InLUd9yyy1xD/jQQw/12xjBIYIUhea2/WhDMthy+n6MosA3b8Bnj6tiJvY8tSVlRj+/DIY8BH0uqqRUqsgmyZZGTpzCI7Ki8N7XdTy/poJQVMZk0HLZcSMYGynDaUtsqTsYkWgJqOIlpU4raQkmnAkEAkFcjvrLL7+MazBR9ykg4leXuj3VakMNQxz70REfrPwTVKxUj4tPhFm3x6/1vTeyhOJrwBXWsEMuoEWfhdMefwTb4Anx6EdlbNrjBmBirp0b544m06qncmNZ3GbsLV5S6rRSmC7ESwQCQf+Iy1EvX758sO0QHAr4m6FxCwRawZ4D2jjeXk1l8OE9qmPX6uHYq2HCuf1b6o4GiXobqZPtlMu5aMxp5MYZwSqKwv++reeZTyoIRiWMei0Ljyvi+5Nz0Go0cfeLBgjHJJq8YVIsRlW8xCrESwQCQf8RNSGC/UdRwF2l7kcrUlt9dB+OSVFg639gzSPqUrk1S9Xqzhzfv/mDLQSDQXbJOewmC4fDijlOdbEmX5g/f1TGht0uAMZl27hp3mhyUxJLXlMUBVcwqoqXZJgpThfiJQKBYP8Rjlqwf0hRtXd0czkkWcAUh751NAifPAxl/1OPC46F2T8HkyPx+eUYeOtplYzsUIpp0aaTaTehj2OpW1EUPtrawF9X7cQfkTDoNFx67AjOnJKXcMlUVJJp8IawmgxMyneQZRPiJQKBYGAQjlrQf8I+NYr21qj10fGUT7VWqkvdrZVqFvjRV8CUi+LLCO8yv5eY30WdkkaZkoPGaCPHEl/ZVYs/wpLlO/i8sgWA0VlWbpo3moLUOPbU98EdjOILR8lNSRbiJQKBYMARnyiC/uFvgoYtas2zLTu+/eiypbDqQYiFVMc+51eQOzXxuRUZ/I0EowqVFLJbSSfFao5rqVtRFFZub+TJj3fiC8fQazUsOKaQc4/ITziK7ixe4iA3JVmIlwgEggFHOGpBYsiyuh/dtF11mPbcvvejY2FY8xhsfUc9zjsSZv8SzGm9P66nsXyNtGps7CCHZuxkOboudUuywrc1bloCUdLMBsbnOvCGovxlRTmf7mwGoNRp4eZ5oxmRnlhdNICvTbwk226i2GnFkWDPaYFAIIgX4agF8ROLqFnarkq1dMpk7/sxnmpYere6j40GjvyR+k/bjySrYCuxsJ9aTRY7pCw0+mRyu1nqXlPexFOrdtLsi3TcZkvSE5NlglEZnVbDBdMKOO+o/Lj2svdGkhUa/SH0Wg1js23kp5oTHkMgEAgSQThqQXyEvep+tKcGrE61QUZfVHwMK+6HqF9NFJvzS8g/OvG52xLGgpokKrWl7I45SDGbul3qXlPexO/f29rldm9YLa9yWo388nvjKXH2o0YbqPeGcNrNlDqtCXfLEggEgv4gHLWgb3wN6n50xBtffbQUhbVPwtevqcdZE2HuXWDNTHzuSAACzbTo0imXc2mRTThtpm4FTCRZ4alVO3sdToaEl7plRZUABShOt1CcZRfiJQKB4IAhHLWgZ2QZXLvU/WiNBmxx7Ef76lWt7oZv1ePJF8D0K+NLNtsbRYFAE7FYjFp9IWWxDLRaIzn2nrO6v61xd1ru7o5mX4Rva9xMyk+Jy4xQVKLZF8Zu0uEFSpwWjMJJCwSCA4hw1ILuiYXV/ejWSnUvOsnW92N2r4Xl90HYo+5hn3QnFJ2Q+NxSRF3q1tup0BWxO2IjJdmIpY+yp5ZANK7h4zlPURRcgShhSWJEhpkCRxLLvhUyuQKB4MAjHLWgKyEPNG4Fb526XK3voxGFHIP1z8PGf6jHGaPV3tH2OJpxdJnbDWEvrUk5lMWyaYnqyexhqXtvFEVhZ6M3rinS+mgvGZVkGn0hrEkGJmWnkGVPIhaLX0JUIBAIBhLhqAWd8darTjriU0uv+srODjTDst9A7Ub1ePzZcNw1oEsw0UqWwNeIpNVTayxlezgFjVZPrqNvAZNAJMZfVpSzcntjn9NkWI2Mz+1ZAc0djOIPR8lLNVOcYekzihcIBILBRnwKCVRkCVrb9qO1OtVJ90XNl7Ds1xBsVVXJZt4KI+cmPnc0CP4mQqYMKpQ8dgWTcCQb4lL42tHg448fbKXWHUKrgZmjnL067CtnlnQrShKTZBp9YUwGHRPyHOQ4hHiJQCAYHghHLYBoqK0+eld8+9GKDF++CF88p/6eWgwn3wsphYnN29ZMg1iEVvMItkedtIQ1ZNmS4lrqfuerWp5bXUFMVsiwJnHb/DGMz7EzozS9Sx11htXIlTNLmFHaVYvcF4rhCUfItidT7LRgNwnxEoFAMHwQjvpwJ+hSl7p9DfHtR4dc8NF9sGedejz6NDjhxvjqqvdGioKvAclgpTa5mLKABQUteXEsdXtDUR79qIzPdqo63ccUp3Hj3FHY2hzsjNIMjilO76JMtm+ELMkKzf4wOo2GMVlCvEQgEAxPhKM+nPHUqk46GohvP7rua1h2L/gbQZcEJ9wEY05LfN6wF4JuQpZcdsrZVPl02JMMWE19vx231Hr40/+20egNo9dqWHR8MWdMzuni3HVaTa8lWIFIjNZAlAyrUYiXCASCYY1w1HEQjUY7/RyqMQYMWQLXblXWU2cASzYogCR3f76ioP36NbTrnkKjSCiOfGJz7oG0kp4f0+04strMAy0ucwlloRTcYQWnVYdBB7LUc2a1rCi88WUNL35ehaxAjsPEbSePotRpQZEllHifuqLQ4ougaBSK08zkp5ox6jV9Xpdhdf2GiIP1NRhudg+FPQdizsGaYyDH3d+xBsOWeNAoihLvZ9xhw5IlS1iyZAmSJLF9+3ZeeuklzObE2x8eCuhjfo7c/TQ57i8A2JNyDJsKLyemi6Ol5QDhicCLO7RsdavL0kemy1xQIhNHAC4QCATDkkAgwIIFC3C73djtvfdNEI66FzweDw6Hg9raWtauXcvJJ5+MwdC/RKNoNMrSpUv3a4z9JuSCxu1qVGvL7LuEqmk7+o/uReOtRdEakI+5BnncmX2rk+1L0AWRABF7ARWSkyqvgi1J37Gn3Bub9rh5eNkOWgNRjHotPzmhiHljnQkJj7SLl0QkmbzUZEakmUkyJKYuNiyu3xBzsL4Gw83uobDnQMw5WHMM5Lj7O9ZA2uLxeMjIyIjLUYuYJA7aL4jBYNjvizMQYySMooC3Fhq2qb2g0/JB00vSlKLAlrfV1pRyFGzZaObdg845loTcW1szDQwWXOkT2R600uKPkWk3YdT3nrQlyQovfb6bf62vQgEK08zcPn9MwjrdkZgqXmI3GRiXaSXTlrRf6mJDcv2GGQfrazDc7B4Kew7EnIM1x0COu79jDZQviBfhqA91pBi0VEBzmZrRbc/u/fxoAFY9BDs+VI9HHK9KgcYjIbo3ET8EWpCtOdQYCtjh0SJJMjkpyWj7cJRNvjB/+mAb39Z6AJg/PosfzyzBlGAU3C5ekp9qpsRp6bbblkAgEAx3xCfXoUwkoAqYuKsgOQ2Mfeyzt+yED+9RE800Wpj+E7WpRiIRqKKoWeGKQjhtNOWxDKqao9hMWmyWvr9Bfl7RzOIPy/CGYyQbdFw3eyQnjnbGPz9tPaN9IZL0Oibmp5BjN6EV4iUCgeAgRTjqQ5VACzRshWAzWLPU7O7e2P6BGklLYbBkwNy7IXtSYnNKEbUe25SCy1JMWcBMsy+M09r3UndUknl+TSVvb6oBYKTTym3zx5CbkljSWiASo8UfIdthosRpxZE8fJY6BQKBoD8IR32ooSjgqYbGbarjtOf2vh8dC8PqR2Dbf9XjvGkw55eQnJLYvCE3hH3I9gJqDfnsaJWJSlFyHH0vdde6g/zxg23saPABcOaUXC6bUdSnOtneKIpCiz9CTFYYlWWlMM3S55cDgUAgOBgQjvpQQoqpy9fNO1TtbVsf+9HuPbD0bmgpBzRw1GVwxCV9C5/sTVszDfQGwhkT2BlNoaoxjMWoJy2Ope5VZY38+aMdBKMStiQ9N84bxTHF6fHPjxqNN3hDOJINjM+04rTuX8KYQCAQDCeEoz5UiPjV/WjXHrCkgaGP/eidK2DlH9XkseRUNYrOOyqxOduaaWDLwm0uosxroMkXIsOaRJK+d2cfiko8vWonH3xbD8C4HDu3nTIGp60PCdN98IaieEIxkTAmEAgOWcSn2qGAvxkat0CgVc3q1vZyWaUofPY4fPOGepwzBeb8St2Xjpf2ZhpSFDltJDX6XMqbI0Rj8S11724JcP/7W9ndEkADnDetgAXTCxPqViUriiojqtMwPsdGXqpZdLsSCASHJMJRH8woirp83bRNrVl25PWeoe2thQ9/rTp1gKkLYNrlvTv2fZGi4KuHJDvh9LHsDFrZXR9Sl7rtvS91K4rCh1vqeeLjnURiMilmAz87eQxTC1Linx81Gm/2h0m3JjFS6HQLBIJDHOGoD1akKDSXq/vLRjOY+9jX3bUGVvxebYiRZOP/27vz6Crre9/j751hJ9nZmScSCQkZgIBCFAShTUVEc3pvrT3q6Vn1OOB8WqhYr8rqvU5tz112WVu1lurF29LTY7XaVUp7ek8rOCBCq0Zp0FZICCQMEsg87Ozs8fndPzakYcjODmTYwc9rLRbZO8/z+/2enaznk+f3DF8u+58wbfHI+jxWTIP0qaGp7i5Dm6s/oqluty/Aj7fsHagVXVmYzr1XzCDDMbKQ7XT78AaCFGclMz0nedh+RUQmOwX1ZOR1ha7q7vkkNGUdH+YWJisANT+BnS+FXudUwPJHhr/QbDBjhW67ionD5M7mcEwuDS39+AOGKalJw045N7S4ePzV3TR3e4ixwQ2Lirh2/tRhp8gHCwQtWlxeku2xnH9eGlNSE3XBmIh8KiioJ5u+NmjZFbodKjU//LR1Xyu8/h048mHo9fnXwqJ/Hf6e6sEC3lBIO7LxZpbR2JfIgY4+HBFOdf/+w2Z+ur2RgGXIdiZwf/VMZueHf67tKZvhDdDV7yM/LYmSnOSInhEuInKuUFBPFpYVesJYW33oCDe1IPz56EPvwxv/FirEEe+ASx+AkqUj67O/M/R0s8wSupOLaOjw09rbR1ZywrCP8+z1+PnhG3t4Z18HAIumZ7L68vIRhawxhjaXD2yGGXkpTMt0EDeCe6tFRM4FCurJIOAL3Rvd2Qj2ZEhMG3pZKwh/+Q/44N8BA1mlsPxbkDY18v6sQOgoOs6ByZ9Hs8mkodmNL2BFNNW9q7mH722qC12VHWPjls9M56q5+SOaqvYFLFp7PaQn2ynLdZLtHNltWyIi5woFdbTz9h47H30YnDkQlzj0sv2d8Mb/hk/eD72e9d9hyd2hYhyROlZMg9QCfOmlNLni2N/RS2JcLHmpYfomdMvUr3cc4oV39mMZyE9L5IHqWZTlOiPvn78X05iW5aAkxzniYhwiIucSBXU0c7WEntft7Rn+fPSRD0O3XrnbQmH+2W/AjOrI+xpUTIOcCrqTzmNvu5eW3j6yku3DhmWn28eTm+v5y8EuAD5XnsPKy0pH9ACSoGVoc3mJj7Mx57w0CtKSVExDRD71FNTRyLKgaz+07QFM+PPRxsCHL8N760LnrtOnhaa6M6dH3l/AGwrpxHRM9gyOWKk0NLvw+INMSU0cdqp758Euvr+5jk63H3tcDHd9roQrKvJGNNXd7wvS4faRk2KnLCeFNIcuGBMRAQV19Al4QwHd2QSJqeHrQHt74c3H4MCfQq/LlkPVvcM/PnQwTxd4+yC9GF/6dJq6Dfs7ekiIi2FKavjKVUHL8NJ7B3jl/YMYYFqmgweqZ1KUlRxx94OLaZTmJFOUpWIaIiKDKaijiacHWndD7xFw5oY/t9yyG15/NLRsTDws+TpUXBV57WgreOyCsQTIn0tPQh57W90c7fFGNNXd5vLyxKY6/na4B4Dq2XncXlUyovPJ/qBFq8tDSsKxYhopKqYhInIyBXW06D0aCmmfKzTVPVQFK2Pg443w5x+D5YeUArjiUcieEXlffnfo+eApeZisGRz1J9FwqAe3L7Kp7vca23nqtT30egMkxcey6rIyPjcjJ/L+AZcnQLfHT0F6EqU5TpIT9KsoInI62jtONCsIXQdCV3bHxEJK/tBHxT43bP0e7Hsz9Lq4CpauAXuEV1UfL6YR8EH2DPzpxTR1+tnf3o09Nob8tPBT3f6gxb//qYnf7jwMQFmOk/urZ1KQHn69wSxjaOv1EhtjoyI/hakqpiEiEpaCeiL5PaHz0V37hz8f3b4XXns09NATWyxc8q9w/nWRT3UH/aGp7oQUKJhDb3wWe4/0caTHQ6YjgSR7+Cnr5u5+Hn+1joYWFwBfnFfAiiXFxI/gASSDi2mU5jjJVDENEZFhKagniqf72Pnoo8Ofj677A2x7EoI+SM6B5Y9C3pzI+xpUTMNkldHijWfPJz30eQMRPcDk7T2t/OjNBty+IM6EOO5ZXs6i6cMUATlJl9uH51gxjeLsZN0bLSISIQX1ROg9Enpet98d/nx0wAPbnoL6P4ZeFy6Cy74JiemR9TOomAZTzsefMpX9nR6a2rqJj42hYJipbm8gyPNvN/Lq344AUJGfyv1XziQnJfIHqASCFq0uLw4V0xAROSMK6vHW0Qhde0OFMVILhl6uaz9sfjT02FBbTKhudOX1oa8jEfCAqzV0BJ49A1dcGnuPuGju7ifDYR/2QSQHOtw8/sfd7O9wYwP+aUEh1y+cNqLzyW5fgC63j7zUREpznSqmISJyBhTU48WyQv+37IaUjPAXgDW8Dm8/Af5+SMqAyx+Gggsj78vdEQrqzFJMVgmt/Tb2NHfh8gTIS0kMW9jCGMNru47yf7buwxuwSHfE8z+umEllYXrE3RtjaO/zYWEoy01hWpZjROeyRUTk7xTU4yXgCf3vCBPSQR/8eS18/NvQ6/xKuPwhcER4PtgKgOsoxCdDfiX+5Ckc6Oinsa2P+NgY8tPCTzu7fQGe3bKXLfWtAFQWpnPv8hlkjOCiL18gNNWd7oinNMc5omlyERE5lYJ6vA11PrrncOiq7rb60OsLb4D5K8I/33uwQcU0yJ6By+Zgb3NvxFPde1tdPP7H3Rzu9hBjg39ZVMR186cSM4LzyT39flxeP9MyHUzPdg57JbmIiAxPQR0NmrbBlsdCYZuQCpf9L5i2KLJ1TyqmQWYxLe4gDUe76I1wqvv3Hzbz0+2NBCxDtjOB+6tnMjs/NeLhDxTTiFUxDRGR0aagnkhWIFRM48NXQq9zZ4duvXLmRrb+oGIa5MwkkJTN/nY3je19xNlsw051uzwBnn6jnnf2dQCwaHomqy8vH9FFXyqmISIythTUY6n7EPS1hb72uEhzN0F7N9gTQtPU76+HtrrQ9y/4J1h4Z+hq8EgMKqZBVil9xk5Dcw/NXZFNde9u7uHxTXW09nqJi7Fxy2eKuWpuQcS3Thlj6HT78QctFdMQERlDCuqxEvDCusugrwWAeGApQN1Jy8U7YOk3YXpVZO2eVEyD1Km09PnY19JNt8c37FS3ZQy/3nGIF97Zj2UgPy2RB6pnUZYb4WNIOVZMo9eLMzGOWflp5KqYhojImFFQj5VYO6Sdd+yI2hpimQS4Zh2kTY2szUHFNMieQcCexsF2N/va+4jFRn5qUtjA7HT7eHJzPX852AXA58qzWXlZ2bBH34O5vAG6+30qpiEiMk60lx0rNhssexBeuHboZS5/OLKQNgbc7RAMhKpkZZbgtmJCU93d/aQl2ocNzJ2Huvj+pjo63X7scTHcWVXClbPzIj4StkzogrEYG8yaEiqmEe7IXURERoeCeiyVXh56UEnzztDjPAfYIGcGFC0Zvo3BxTSmXADOPFpdPva2dNPV7yM3JTHsw0SCluGl9w7wyvsHMUBhpoM11TMpykqOeDO8gSBtLi+ZyXbKclNUTENEZBwpqMfSkEfVBhbcNnzlq0HFNMgqJxifzMH2Pva19WHDRkFa+KnuNpeXJzbV8bfDPQBcOTuPO6pKRlQQo8vto98fpCgrdG+0immIiIwvBfVYO3ZUbZp3YjMWxhaDLbscpl489DonFdMgfRrugGHv4R4+6eonLSke5zBT3e81dvDU6/X0egIkxcey8rIyLp2RE/Gwg5ahpddD0qBiGro3WkRk/Cmox9qxo2rbsaNqm7HCH00PLqaRMxMcmbS5vDS0uOhyDz/V7Q9a/PufmvjtzsMAlOYk80D1LArSw1fKGsztC9Dp9jElNZGSXCepKqYhIjJhFNTjofRyrClziTnyIVZWOTFDHU0PKqZBVinB2AQOtfexr9WFMcNPdTd39/P4q3U0tLgA+OK8AlYsKY64IIYxho4+HwFjKFcxDRGRqKCgHg82G1bVGly/ux/HRbec+vzsk4ppkFpAv99ib3MPhzr7SUuMx5kY/kf19p5WfvRmA25fEGdCHPcsL2fR9AiLeRA6Ej/a6yEjyU5proppiIhECwX1ODHFVbw5+7v8t4KTzhP7XODuhNTzILscElNpd3nZ0+Kiy+0nNyUh7FGtNxDk/77dyB//dgSAivxU7rtyBrkpiRGPraffT6/XT2GGg9IcFdMQEYkmCuqJcryYBoSe8Z1RTNAWy6H2Phpb+wgaQ35aYtjqVQc73Dz+6m6a2t3YgOvmT+VfFhURG+FFXycU0yhIpSDdEfG6IiIyPhTUEfD7/Sf8f0ZtBAKh/4MWePtDF4w5MiCrHJKz8XoDNLZ380lXPyn2eDKS4sAKnvaZZsYYXq9rZd3bTXgDFulJ8Xzj8lIqC9PBBLGCw4/H4w8V08hKtlOSk0xakh0rGIho3U+j0fgdmOwm62cQbeOeiPGMR59j1cdotnu2bY3FWCJhM8aYs+7xHLN27VrWrl1LMBikvr6eF198EYfDMdHDAsAThFf2xfBBW2g6fEaaxY1lFql6BomIyKThdru5/vrr6e7uJjU1fFlhBXUYPT09pKWl0dzczLvvvssVV1xBfPyZ3arkd/ewecs2rih3EJ9bBikFWNg43NVPU1sfQcuQlZIQdqp7X2sf39u8h8PdHmJscP3FhVx7UUHYdQYLBC1aXV4cCXGUZDvJTbGrmEaE/H4/mzdvPqvfgclusn4G0TbuiRjPePQ5Vn2MZrtn29ZojqWnp4fs7OyIglpT3xE4/gOJj48/8x9OQuiIPL6wkviUHDz+IPtaXRzscJOSaA9bA9oYw//7qJmfbGskYBmynQncd+UM5hSkRdy9yxugxxMgP8NJaa5z2AemyOmd1e/AOWKyfgbRNu6JGM949DlWfYxmu2fb1miMZSTra289XmKPfdSJ6XT2+djT0kuHy0dOSmLYOs4uT4AfvrGHP+9rB2DR9ExWX14eNtgHG1xMY2aeimmIiEw2Cupx9klnP02dHgJBQ356Uthp693NPTy+qY7WXi9xMTZu+UwxV80tiHi62hsI0tbrJdNppzTHSZZT90aLiEw2CupxYlmhSwF2H+khJSmRrOShj4gtY9iw4xP+450mLAP5aYk8UD2LslxnxP119/tx+wJMy3ZQomIaIiKTloJ6nHgDofue0pLicSYNHdJdbh9PvlbPjgNdAHyuPJuVl5XhsEf2owpahlaXh4S4WOacl0a+immIiExqCupxFu6BIjsPdfH9TXV0uv3Y42K4s6qEK2fnRTzVfbyYRl5qIiU5TtLC/EEgIiKTg4I6CgQtw0s1B3il5iAGKMx0sKZ6JkVZyRGtP7iYRlmuk6KsZBXTEBE5RyioJ1iby8sTm+r42+EeAK6cnccdVSURn1P2By1aej2kJ9kpyU0mx5mge6NFRM4hCupxELQMNU2dfNBmY/rhHi4syiY2xsZ7jR089Xo9vZ4ASfGxrLysjEtn5Azf4DG9Hj+93gBTMxyU5CRHfB5bREQmD+3Zx9gf/9rMt/7zY5q7PUAs7KkjK7mR0pxk3mvqBKA0J5kHqmdRkJ4UUZtBy9De5yU2xkbFlBTOy1AxDRGRc5WCegz98a/NfPWFHZz8jNb2Ph/tfT4AvjivgBVLiiM+p+zxB2nv85LtTKA0x0lGsh7yLSJyLlNQj5GgZfjWf358SkgPlpoYx62fmR7x0XBnnw9v0KIk20lRtoOEON0bLSJyrtOlwWPkvcaOY9PdQ+vxBPj4cPewbQWCFoe7+4mJtXHBeWmU5zkV0iIinxI6oh4jLb3hQ/q4Dnf4mqR93gBd/T7y05IoyUmO+BnfIiJyblBQj5HclMSIlst0nD54LWNod/nAZpiZl0JhpoppiIh8Gimox8jC6ZnkpyVypNsz5HnqbKed2acpVekLWLT2ekhPtlOW6yRbxTRERD61dIg2RmJjbDxy1WwAhrpU7I6qklMuJOvu99Pe52ValoPKwnSFtIjIp5yCegz9w/n5PHvDRUxJO3EaPNtp55ufn8WS0uyB94KW4UhPP5YxzDkvjVlTUlXxSkRENPU91v7h/HyumD2FLbuaeeud95k+Y/bAk8mO6/cF6XD7yE1JoDRXxTREROTvFNTjIDbGxsXFGbgaDPkFqQMhPVBMwzKU5SQzLSsZe5wmOURE5O8U1BPEH7RodXlITYxndo6TnBQV0xARkVMpqCeAyxOg2+OnID2J0hwnyQn6MYiIyOkpIcZZu8tHUoKdivwUpqqYhoiIDENBPc4ynXZmTElXMQ0REYmIgnqcHH8295z8VJwOhbSIiERGlxiPk5hjU9wJujdaRERGQEEtIiISxRTUIiIiUUxBLSIiEsUU1CIiIlFMQS0iIhLFFNQiIiJRTEEtIiISxRTUIiIiUUxBLSIiEsUU1CIiIlFMQS0iIhLFVJQjDGMMAL29vbjdbnp6eoiPjz+jtvx+/1m3IRNHP7/J+xlE27gnYjzj0edY9TGa7Z5tW6M5lp6eHuDvOROOgjqM3t5eAKZPnz7BIxERkXNRb28vaWlpYZexmUji/FPKsiwOHz5MSkoKCxcupKam5ozb6unpobCwkIMHD5KamjqKo5TxcvHFF5/V78C5YLJ+BtE27okYz3j0OVZ9jGa7Z9PWaO7HjTH09vZSUFBATEz4s9A6og4jJiaGqVOnAhAbGzsqAZuamqqgnqRG63dgMpusn0G0jXsixjMefY5VH6PZ7mi0NVr78eGOpI/TxWQRWrly5UQPQSaYfgcm72cQbeOeiPGMR59j1cdothttvwuR0NT3OOnp6SEtLY3u7u6o+steREQiM1H7cR1Rj5OEhAQeeeQREhISJnooIiJyBiZqP64jahERkSimI2oREZEopqAWERGJYgpqERGRKKagFhERiWIK6ijT1dXFggULqKys5Pzzz+f555+f6CGJiMgIHTx4kKVLlzJ79mzmzp3Lr371qzNuS1d9R5lgMIjX68XhcNDX18f555/P+++/T1ZW1kQPTUREItTc3MzRo0eprKzkyJEjzJ8/n/r6epKTk0fclh4hGmViY2NxOBwAeL1ejDERVVcREZHokZ+fT35+PgBTpkwhOzubjo6OMwpqTX2P0NatW7nqqqsoKCjAZrOxcePGU5ZZu3YtxcXFJCYmsmjRIt57770R9dHV1cW8efOYOnUq999/P9nZ2aM0ehERgfHZlx/3wQcfEAwGKSwsPKP1FdQj1NfXx7x581i7du1pv//yyy9z77338sgjj7Bjxw7mzZtHdXU1LS0tA8scP/988r/Dhw8DkJ6ezs6dO2lsbOTFF1/k6NGj47JtIiKfFuOxLwfo6OjgpptuYt26dWc+WCNnDDC/+c1vTnhv4cKFZuXKlQOvg8GgKSgoMI899tgZ9fHVr37V/OpXvzqbYYqISBhjtS/3eDymqqrK/PznPz+r8emIehT5fD4++OADli9fPvBeTEwMy5cv589//nNEbRw9epTe3l4Auru72bp1KzNnzhyT8YqIyKlGY19ujGHFihUsW7aMG2+88azGo6AeRW1tbQSDQfLy8k54Py8vjyNHjkTUxv79+6mqqmLevHlUVVXx9a9/nQsuuGAshisiIqcxGvvy7du38/LLL7Nx40YqKyuprKzko48+OqPx6KrvKLNw4UJqa2snehgiInIWPvvZz2JZ1qi0pSPqUZSdnU1sbOwpF38dPXqUKVOmTNCoRERkJKJtX66gHkV2u5358+fz+uuvD7xnWRavv/46ixcvnsCRiYhIpKJtX66p7xFyuVw0NDQMvG5sbKS2tpbMzEymTZvGvffey80338yCBQtYuHAhTz31FH19fdxyyy0TOGoRERlsUu3Lz+qa8U+hN9980wCn/Lv55psHlnnmmWfMtGnTjN1uNwsXLjTvvPPOxA1YREROMZn25XrWt4iISBTTOWoREZEopqAWERGJYgpqERGRKKagFhERiWIKahERkSimoBYREYliCmoREZEopqAWERGJYgpqERGRKKagFpkAxcXFPPXUU2PW/tKlS7nnnntGrb0VK1bwpS99adTaE5HIqSiHyDlow4YNxMfHT/QwJrXi4mLuueeeUf2DR+RMKKhFzkGZmZkTPYRh+Xw+7Hb7Ce8Fg0FsNhsxMSOb7It0PWMMwWCQuDjt+mTy0NS3yChbunQpq1atYtWqVaSlpZGdnc1DDz3EyfVv3G43t956KykpKUybNo1169YNfG/ZsmWsWrXqhOVbW1ux2+0DNXJ//OMfU15eTmJiInl5eVx33XUnjGHwkaDX62XNmjUUFhaSkJBAWVkZP/nJT4BQyN12221Mnz6dpKQkZs6cydNPPz3i7d62bRtVVVUkJSVRWFjI3XffTV9f38D3i4uL+c53vsNNN91Eamoqd955Jz/72c9IT0/nd7/7HbNnzyYhIYEDBw7Q2dnJTTfdREZGBg6Hg89//vPs2bNnoK2h1jvZli1bsNls/OEPf2D+/PkkJCSwbds29u7dy9VXX01eXh5Op5OLL76Y11577YTPb//+/XzjG9/AZrNhs9ki3k6RUTchNbtEzmGXXnqpcTqdZvXq1Wb37t3mhRdeMA6Hw6xbt25gmaKiIpOZmWnWrl1r9uzZYx577DETExNjdu/ebYwx5he/+IXJyMgwHo9nYJ0f/OAHpri42FiWZWpqakxsbKx58cUXTVNTk9mxY4d5+umnTxjD6tWrB15/+ctfNoWFhWbDhg1m79695rXXXjO//OUvjTHG+Hw+8/DDD5uamhqzb9++gfG+/PLLA+vffPPN5uqrrx5ymxsaGkxycrJ58sknTX19vdm+fbu58MILzYoVK07Y5tTUVPPEE0+YhoYG09DQYNavX2/i4+PNkiVLzPbt283u3btNX1+f+eIXv2gqKirM1q1bTW1tramurjZlZWXG5/MZY8yQ653seCnDuXPnmk2bNpmGhgbT3t5uamtrzXPPPWc++ugjU19fbx588EGTmJho9u/fb4wxpr293UydOtV8+9vfNs3Nzaa5uTni7RQZbQpqkVF26aWXmoqKCmNZ1sB7a9asMRUVFQOvi4qKzA033DDw2rIsk5uba5599lljjDH9/f0mIyPjhLCcO3euefTRR40xxvz61782qamppqenZ8gxHA/quro6A5jNmzdHvA0rV64011577cDr4YL6tttuM3feeecJ77399tsmJibG9Pf3D2zzl770pROWWb9+vQFMbW3twHv19fUGMNu3bx94r62tzSQlJZlXXnllyPVO53hQb9y4MfwGG2PmzJljnnnmmYHXRUVF5sknnxzxdoqMNk19i4yBSy655ITp0sWLF7Nnzx6CweDAe3Pnzh342mazMWXKFFpaWgBITEzkxhtv5Kc//SkAO3bs4K9//SsrVqwA4IorrqCoqIiSkhJuvPFGfvGLX+B2u087ltraWmJjY7n00kuHHO/atWuZP38+OTk5OJ1O1q1bd9qp5KHs3LmTn/3sZzidzoF/1dXVWJZFY2PjwHILFiw4ZV273X7CZ7Fr1y7i4uJYtGjRwHtZWVnMnDmTXbt2DbleOCf363K5uO+++6ioqCA9PR2n08muXbuG3eZIt1NkNOmKCpEJcvJV2TabDcuyBl7ffvvtVFZWcujQIdavX8+yZcsoKioCICUlhR07drBlyxY2bdrEww8/zKOPPkpNTQ3p6ekntJuUlBR2HL/85S+57777+P73v8/ixYtJSUnhe9/7Hu+++27E2+Jyubjrrru4++67T/netGnTBr5OTk4+5ftJSUkn/FETqZGsd3K/9913H5s3b+aJJ56grKyMpKQkrrvuOnw+X9h2It1OkdGkoBYZAyeH3DvvvEN5eTmxsbERt3HBBRewYMECnn/+eV588UV+9KMfnfD9uLg4li9fzvLly3nkkUdIT0/njTfe4JprrjmlHcuyeOutt1i+fPkp/Wzfvp0lS5bwta99beC9vXv3RjxOgIsuuoiPP/6YsrKyEa13OhUVFQQCAd59912WLFkCQHt7O3V1dcyePfus24fQNq9YsYJ//Md/BEIB3NTUdMIydrv9hBkQGN3tFImUpr5FxsCBAwe49957qaur46WXXuKZZ55h9erVI27n9ttv57vf/S7GmIFQAfj973/PD3/4Q2pra9m/fz8///nPsSyLmTNnntJGcXExN998M7feeisbN26ksbGRLVu28MorrwBQXl7O+++/z6uvvkp9fT0PPfQQNTU1IxrnmjVr+NOf/sSqVauora1lz549/Pa3vz3lyvVIlJeXc/XVV3PHHXewbds2du7cyQ033MB5553H1VdfPeL2hupjw4YN1NbWsnPnTq6//voTZjMg9Llt3bqVTz75hLa2tlHfTpFIKahFxsBNN91Ef38/CxcuZOXKlaxevZo777xzxO185StfIS4ujq985SskJiYOvJ+ens6GDRtYtmwZFRUVPPfcc7z00kvMmTPntO08++yzXHfddXzta19j1qxZ3HHHHQO3FN11111cc801/PM//zOLFi2ivb39hKPrSMydO5e33nqL+vp6qqqquPDCC3n44YcpKCgY8TYDrF+/nvnz5/OFL3yBxYsXY4zhv/7rv0btIS4/+MEPyMjIYMmSJVx11VVUV1dz0UUXnbDMt7/9bZqamigtLSUnJwcY/e0UiYTNmJNu7hSRs7J06VIqKytH5RGhx4OipqbmlCARkU8HnaMWiUJ+v5/29nYefPBBLrnkEoW0yKeYpr5FotD27dvJz8+npqaG5557bqKHIyITSFPfIiIiUUxH1CIiIlFMQS0iIhLFFNQiIiJRTEEtIiISxRTUIiIiUUxBLSIiEsUU1CIiIlFMQS0iIhLFFNQiIiJR7P8DVyA+unw4husAAAAASUVORK5CYII=", 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" ] @@ -275,12 +577,12 @@ } ], "source": [ - "code = codes.SurfaceCode(3, 5)\n", + "code = codes.SteaneCode()\n", "\n", - "noise_model = circuits.DepolarizingNoiseModel(0.001) # noise model used to train AlphaSyndrome\n", + "noise_model = circuits.DepolarizingNoiseModel(10e-3) # noise model used to train AlphaSyndrome\n", "strategies = [\n", " circuits.EdgeColoring(),\n", - " circuits.AlphaSyndrome(noise_model, decoder=\"pymatching\", verbose=True),\n", + " circuits.AlphaSyndrome(noise_model, decoder=\"pymatching\", verbose=True, iters_per_step=5000),\n", "]\n", "\n", "make_memory_experiment_figure(code, strategies, with_MWPM=True)\n", @@ -298,7 +600,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "qldpc", "language": "python", "name": "python3" }, @@ -312,7 +614,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.12" + "version": "3.10.12" } }, "nbformat": 4, diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index b5e9c21d9..62fdc3541 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -27,6 +27,7 @@ import numpy.typing as npt import sinter import stim +import tqdm from qldpc import codes, decoders from qldpc.objects import Node, Pauli, PauliXZ @@ -160,7 +161,11 @@ def _build_schedule(self, code: codes.CSSCode, basis: PauliXZ, verbose: bool) -> def _schedule_one_gate(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode) -> TreeNode: """Schedule one gate by penalizing its contribution to logical error rates.""" - for _ in range(self.iters_per_step - root.visits): + steps_iterator = range(self.iters_per_step - root.visits) + if self.verbose: # pragma: no cover + steps_iterator = tqdm.tqdm(steps_iterator, "scheduling one gate") + + for _ in steps_iterator: # Starting from the root node, explore down through fully expanded non-terminal nodes. # If we end at a non-terminal node that is not fully expanded, expand once. node = root @@ -174,7 +179,7 @@ def _schedule_one_gate(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode schedule = node.simulate().to_schedule() evaluation_circuit = self._get_evaluation_circuit(code, basis, schedule) noisy_evaluation_circuit = self.noise_model.noisy_circuit( - evaluation_circuit, immune_qubits=range(code.num_qubits), insert_ticks=False + evaluation_circuit, insert_ticks=False ) # sample detection events and observable flips from the evaluation circuit From c45fdb7ce0b1cf1dee5fe931c813dacd832f2098 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Thu, 26 Mar 2026 21:33:26 -0400 Subject: [PATCH 63/71] nicer printing --- src/qldpc/circuits/alpha_syndrome.py | 14 ++++++++------ 1 file changed, 8 insertions(+), 6 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 62fdc3541..41dc05843 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -57,7 +57,7 @@ def __init__( self, noise_model: NoiseModel, decoder: sinter.Decoder | str = decoders.SinterDecoder(), - iters_per_step: int = 100, + iters_per_step: int = 1000, shots_per_iter: int = 10000, exploration_weight: float = math.sqrt(2), *, @@ -152,18 +152,20 @@ def _build_schedule(self, code: codes.CSSCode, basis: PauliXZ, verbose: bool) -> # schedule gates with MCTS node = TreeNode(TreeState.head(gates)) for step in range(len(gates)): - node = self._schedule_one_gate(code, basis, node) - if verbose: # pragma: no cover - print(f" {step + 1}/{len(gates)}") + node = self._schedule_one_gate(code, basis, node, step=step) # convert the final tree node into a gate schedule return node.state.to_schedule() - def _schedule_one_gate(self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode) -> TreeNode: + def _schedule_one_gate( + self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode, *, step: int + ) -> TreeNode: """Schedule one gate by penalizing its contribution to logical error rates.""" steps_iterator = range(self.iters_per_step - root.visits) if self.verbose: # pragma: no cover - steps_iterator = tqdm.tqdm(steps_iterator, "scheduling one gate") + steps_iterator = tqdm.tqdm( + steps_iterator, f"Scheduling gate {step + 1} of {len(root.state.gates)}" + ) for _ in steps_iterator: # Starting from the root node, explore down through fully expanded non-terminal nodes. From 2cf2a2a21997a2617807dd225b9a1dd77141f0ba Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Thu, 26 Mar 2026 21:53:12 -0400 Subject: [PATCH 64/71] use self.verbose --- src/qldpc/circuits/alpha_syndrome.py | 29 ++++++++++++---------------- 1 file changed, 12 insertions(+), 17 deletions(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index 41dc05843..ee18be885 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -80,7 +80,7 @@ def __init__( iters_per_step: Iterations per MCTS step (default: 100). shots_per_iter: Number of times to sample evaluation circuits (default: 10000). exploration_weight: Exploration parameter of MCTS (default: sqrt(2)). - verbose: Default verbosity level when building a circuit. + verbose: If True, print updates when constructing a syndrome extraction circuit. """ self.noise_model = noise_model self.iters_per_step = iters_per_step @@ -99,11 +99,7 @@ def __init__( @restrict_to_qubits def get_circuit( - self, - code: codes.QuditCode, - qubit_ids: QubitIDs | None = None, - *, - verbose: bool | None = None, + self, code: codes.QuditCode, qubit_ids: QubitIDs | None = None ) -> tuple[stim.Circuit, MeasurementRecord]: """Construct a circuit to measure the syndromes of a quantum error-correcting code. @@ -121,12 +117,10 @@ def get_circuit( "The AlphaSyndrome strategy for syndrome measurement only supports CSS codes" ) qubit_ids = qubit_ids or QubitIDs.from_code(code) - if verbose is None: - verbose = self.verbose # the heavy lifting: schedule gates - schedule_cx = self._build_schedule(code, Pauli.X, verbose=verbose) - schedule_cz = self._build_schedule(code, Pauli.Z, verbose=verbose) + schedule_cx = self._build_schedule(code, Pauli.X) + schedule_cz = self._build_schedule(code, Pauli.Z) # construct a circuit from the gate schedules circuit = stim.Circuit() @@ -140,16 +134,16 @@ def get_circuit( record = MeasurementRecord({qubit: [mm] for mm, qubit in enumerate(qubit_ids.check)}) return circuit, record - def _build_schedule(self, code: codes.CSSCode, basis: PauliXZ, verbose: bool) -> GateSchedule: + def _build_schedule(self, code: codes.CSSCode, basis: PauliXZ) -> GateSchedule: """Schedule the gates that extract basis-type stabilizers of a CSS code.""" # identify gates that need to be scheduled, as (control, target) pairs graph = code.get_graph(basis) gates = [(check.index + len(code), data.index) for data, check in map(sorted, graph.edges)] - if verbose: # pragma: no cover + if self.verbose: # pragma: no cover print(f"Building gate schedule for {basis}-type syndrome extraction circuit...") - # schedule gates with MCTS + # schedule one gate at a time with MCTS node = TreeNode(TreeState.head(gates)) for step in range(len(gates)): node = self._schedule_one_gate(code, basis, node, step=step) @@ -161,13 +155,14 @@ def _schedule_one_gate( self, code: codes.CSSCode, basis: PauliXZ, root: TreeNode, *, step: int ) -> TreeNode: """Schedule one gate by penalizing its contribution to logical error rates.""" - steps_iterator = range(self.iters_per_step - root.visits) + exploration_iterator = range(self.iters_per_step - root.visits) + if self.verbose: # pragma: no cover - steps_iterator = tqdm.tqdm( - steps_iterator, f"Scheduling gate {step + 1} of {len(root.state.gates)}" + exploration_iterator = tqdm.tqdm( + exploration_iterator, f"Scheduling gate {step + 1} of {len(root.state.gates)}" ) - for _ in steps_iterator: + for _ in exploration_iterator: # Starting from the root node, explore down through fully expanded non-terminal nodes. # If we end at a non-terminal node that is not fully expanded, expand once. node = root From 22460ac8b397533e1dd9d6b9a2cf1fa4256e7c4e Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Thu, 26 Mar 2026 23:11:55 -0400 Subject: [PATCH 65/71] verbose True by default --- src/qldpc/circuits/alpha_syndrome.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/qldpc/circuits/alpha_syndrome.py b/src/qldpc/circuits/alpha_syndrome.py index ee18be885..66a57289e 100644 --- a/src/qldpc/circuits/alpha_syndrome.py +++ b/src/qldpc/circuits/alpha_syndrome.py @@ -61,7 +61,7 @@ def __init__( shots_per_iter: int = 10000, exploration_weight: float = math.sqrt(2), *, - verbose: bool = False, + verbose: bool = True, ) -> None: """Initialize an AlphaSyndrome syndrome measurement strategy, based on arXiv:2601.12509. From 18dc96d0439972d7019daa81af8d6f418bb76d63 Mon Sep 17 00:00:00 2001 From: acasta-yhliu Date: Fri, 27 Mar 2026 10:59:46 -0400 Subject: [PATCH 66/71] [update] changed code name title in the notebook --- examples/logical_error_rates/5_alpha_syndrome.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/logical_error_rates/5_alpha_syndrome.ipynb b/examples/logical_error_rates/5_alpha_syndrome.ipynb index b5b409cf1..bd4d4f0d3 100644 --- a/examples/logical_error_rates/5_alpha_syndrome.ipynb +++ b/examples/logical_error_rates/5_alpha_syndrome.ipynb @@ -204,7 +204,7 @@ "id": "348a2ee4-47b4-44f8-84ce-aed2a178ab43", "metadata": {}, "source": [ - "### Surface code" + "### Steane Code" ] }, { From 1f22986ba278d0b7ae9033b2fedbb2f720a28b1a Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Sat, 28 Mar 2026 12:37:33 -0400 Subject: [PATCH 67/71] use native MWPM decoder --- .../5_alpha_syndrome.ipynb | 378 ++---------------- 1 file changed, 40 insertions(+), 338 deletions(-) diff --git a/examples/logical_error_rates/5_alpha_syndrome.ipynb b/examples/logical_error_rates/5_alpha_syndrome.ipynb index bd4d4f0d3..38e8ace54 100644 --- a/examples/logical_error_rates/5_alpha_syndrome.ipynb +++ b/examples/logical_error_rates/5_alpha_syndrome.ipynb @@ -19,7 +19,7 @@ "source": [ "## AlphaSyndrome measurement strategy\n", "\n", - "We can construct a custom stabilizer measurement circuit by defining a new `SyndromeMeasurementStrategy`. As an example, `AlphaSyndrome` from [arXiv:2601.12509](https://arxiv.org/abs/2601.12509) uses a Monte Carlo tree search to find stabilizer measurement circuits with reduced logical error rates." + "We can specify a custom stabilizer measurement circuit for running active error correction cycles by defining a new `SyndromeMeasurementStrategy`. As an example, `AlphaSyndrome` from [arXiv:2601.12509](https://arxiv.org/abs/2601.12509) uses a Monte Carlo tree search to find stabilizer measurement circuits with reduced logical error rates." ] }, { @@ -61,7 +61,7 @@ "def run_memory_experiments(\n", " code: codes.CSSCode,\n", " strategies: Sequence[circuits.SyndromeMeasurementStrategy],\n", - " error_rates: Sequence[float] = list(np.logspace(-3, -2, 5)),\n", + " error_rates: Sequence[float] = list(np.logspace(-4, -2, 5)),\n", " max_shots: int = 10**5,\n", " max_errors: int = 100,\n", " distance_trials: int = 100,\n", @@ -129,7 +129,7 @@ " sinter.Task(\n", " circuit=noisy_circuit,\n", " detector_error_model=dem,\n", - " decoder=\"pymatching\",\n", + " decoder=decoder_name,\n", " json_metadata={\"label\": type(strategy).__name__, \"prob\": prob},\n", " )\n", " )\n", @@ -146,7 +146,7 @@ "def make_memory_experiment_figure(\n", " code: codes.CSSCode,\n", " strategies: Sequence[circuits.SyndromeMeasurementStrategy],\n", - " error_rates: Sequence[float] = list(np.logspace(-3, -2, 5)),\n", + " error_rates: Sequence[float] = list(np.logspace(-4, -2, 5)),\n", " max_shots: int = 10**5,\n", " max_errors: int = 100,\n", " distance_trials: int = 100,\n", @@ -204,7 +204,9 @@ "id": "348a2ee4-47b4-44f8-84ce-aed2a178ab43", "metadata": {}, "source": [ - "### Steane Code" + "### Steane code\n", + "\n", + "`AlphaSyndrome` is really a big-compute method. For a small demonstration, though, we'll find a syndrome extraction circuit that is better than the default for the Steane code. Again, to speed things up we'll use minimum-weight perfect matching (MWPM) decoder for this demo, even though the Steane code yields a non-matchable decoding graph." ] }, { @@ -213,14 +215,6 @@ "id": "604a53a6-9624-4a9f-bf00-ff471676408e", "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/liuyuhao/qLDPC/.venv/lib/python3.10/site-packages/numba/np/ufunc/parallel.py:373: NumbaWarning: The TBB threading layer requires TBB version 2021 update 6 or later i.e., TBB_INTERFACE_VERSION >= 12060. Found TBB_INTERFACE_VERSION = 12050. The TBB threading layer is disabled.\n", - " warnings.warn(problem)\n" - ] - }, { "name": "stdout", "output_type": "stream", @@ -232,168 +226,24 @@ "name": "stderr", "output_type": "stream", "text": [ - "scheduling one gate: 100%|██████████| 5000/5000 [00:47<00:00, 104.50it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 1/12\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "scheduling one gate: 100%|██████████| 14/14 [00:00<00:00, 106.44it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 2/12\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "scheduling one gate: 100%|██████████| 19/19 [00:00<00:00, 112.41it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 3/12\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "scheduling one gate: 100%|██████████| 15/15 [00:00<00:00, 114.48it/s]\n" - ] - }, - { - "name": 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"output_type": "stream", - "text": [ - "scheduling one gate: 100%|██████████| 2/2 [00:00<00:00, 100.68it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 12/12\n" + "Scheduling gate 1 of 12: 100%|█████████████████████████████████████████| 5000/5000 [02:01<00:00, 41.31it/s]\n", + "Scheduling gate 2 of 12: 100%|█████████████████████████████████████████████| 35/35 [00:00<00:00, 41.64it/s]\n", + "Scheduling gate 3 of 12: 100%|█████████████████████████████████████████████| 41/41 [00:00<00:00, 41.47it/s]\n", + "Scheduling gate 4 of 12: 100%|█████████████████████████████████████████████| 32/32 [00:00<00:00, 41.28it/s]\n", + "Scheduling gate 5 of 12: 100%|█████████████████████████████████████████████| 22/22 [00:00<00:00, 41.88it/s]\n", + "Scheduling gate 6 of 12: 100%|█████████████████████████████████████████████| 48/48 [00:01<00:00, 41.45it/s]\n", + "Scheduling gate 7 of 12: 100%|███████████████████████████████████████████████| 8/8 [00:00<00:00, 40.75it/s]\n", + "Scheduling gate 8 of 12: 100%|███████████████████████████████████████████████| 8/8 [00:00<00:00, 41.65it/s]\n", + "Scheduling gate 9 of 12: 100%|███████████████████████████████████████████████| 6/6 [00:00<00:00, 41.61it/s]\n", + "Scheduling gate 10 of 12: 100%|██████████████████████████████████████████████| 4/4 [00:00<00:00, 41.15it/s]\n", + "Scheduling gate 11 of 12: 100%|████████████████████████████████████████████| 10/10 [00:00<00:00, 40.36it/s]\n", + "Scheduling gate 12 of 12: 100%|██████████████████████████████████████████████| 2/2 [00:00<00:00, 42.27it/s]\n" ] }, { "data": { - "image/png": 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"text/plain": [ "
" ] @@ -578,21 +278,23 @@ ], "source": [ "code = codes.SteaneCode()\n", + "decoding_kwargs = dict(with_MWPM=True, ignore_non_graphlike_errors=True) # use MWPM, ignoring non-graphlike errors\n", "\n", - "noise_model = circuits.DepolarizingNoiseModel(10e-3) # noise model used to train AlphaSyndrome\n", + "noise_model = circuits.DepolarizingNoiseModel(10e-3) # noise model used to train AlphaSyndrome\\\n", + "decoder = decoders.SinterDecoder(**decoding_kwargs)\n", "strategies = [\n", " circuits.EdgeColoring(),\n", - " circuits.AlphaSyndrome(noise_model, decoder=\"pymatching\", verbose=True, iters_per_step=5000),\n", + " circuits.AlphaSyndrome(noise_model, decoder=decoder, iters_per_step=5000),\n", "]\n", "\n", - "make_memory_experiment_figure(code, strategies, with_MWPM=True)\n", + "make_memory_experiment_figure(code, strategies, **decoding_kwargs)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, - "id": "3104c7a2-fbf1-4422-baea-496d91bebdcb", + "id": "96f8da12-2d42-4724-ad9d-05391bf820c7", "metadata": {}, "outputs": [], "source": [] @@ -600,7 +302,7 @@ ], "metadata": { "kernelspec": { - "display_name": "qldpc", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -614,7 +316,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.12" + "version": "3.12.12" } }, "nbformat": 4, From f54d6a39b93d93f662cfef3efeb4176087d6018f Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Sat, 28 Mar 2026 12:39:13 -0400 Subject: [PATCH 68/71] formatting fix --- .../5_alpha_syndrome.ipynb | 54 ++----------------- 1 file changed, 5 insertions(+), 49 deletions(-) diff --git a/examples/logical_error_rates/5_alpha_syndrome.ipynb b/examples/logical_error_rates/5_alpha_syndrome.ipynb index 38e8ace54..20d6fefe3 100644 --- a/examples/logical_error_rates/5_alpha_syndrome.ipynb +++ b/examples/logical_error_rates/5_alpha_syndrome.ipynb @@ -211,7 +211,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "604a53a6-9624-4a9f-bf00-ff471676408e", "metadata": {}, "outputs": [ @@ -226,59 +226,15 @@ "name": "stderr", "output_type": "stream", "text": [ - "Scheduling gate 1 of 12: 100%|█████████████████████████████████████████| 5000/5000 [02:08<00:00, 38.96it/s]\n", - "Scheduling gate 2 of 12: 100%|█████████████████████████████████████████████| 55/55 [00:01<00:00, 38.77it/s]\n", - "Scheduling gate 3 of 12: 100%|█████████████████████████████████████████████| 12/12 [00:00<00:00, 39.21it/s]\n", - "Scheduling gate 4 of 12: 100%|█████████████████████████████████████████████| 29/29 [00:00<00:00, 38.59it/s]\n", - "Scheduling gate 5 of 12: 100%|█████████████████████████████████████████████| 17/17 [00:00<00:00, 38.52it/s]\n", - "Scheduling gate 6 of 12: 100%|███████████████████████████████████████████████| 9/9 [00:00<00:00, 38.79it/s]\n", - "Scheduling gate 7 of 12: 100%|███████████████████████████████████████████████| 8/8 [00:00<00:00, 38.76it/s]\n", - "Scheduling gate 8 of 12: 100%|█████████████████████████████████████████████| 36/36 [00:00<00:00, 38.47it/s]\n", - "Scheduling gate 9 of 12: 100%|███████████████████████████████████████████████| 9/9 [00:00<00:00, 38.80it/s]\n", - "Scheduling gate 10 of 12: 100%|██████████████████████████████████████████████| 5/5 [00:00<00:00, 39.16it/s]\n", - "Scheduling gate 11 of 12: 100%|████████████████████████████████████████████| 59/59 [00:01<00:00, 38.76it/s]\n", - "Scheduling gate 12 of 12: 100%|██████████████████████████████████████████████| 3/3 [00:00<00:00, 32.95it/s]\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Building gate schedule for Z-type syndrome extraction circuit...\n" + "Scheduling gate 1 of 12: 55%|██████████████████████▍ | 2734/5000 [01:10<00:58, 39.02it/s]" ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Scheduling gate 1 of 12: 100%|█████████████████████████████████████████| 5000/5000 [02:01<00:00, 41.31it/s]\n", - "Scheduling gate 2 of 12: 100%|█████████████████████████████████████████████| 35/35 [00:00<00:00, 41.64it/s]\n", - "Scheduling gate 3 of 12: 100%|█████████████████████████████████████████████| 41/41 [00:00<00:00, 41.47it/s]\n", - "Scheduling gate 4 of 12: 100%|█████████████████████████████████████████████| 32/32 [00:00<00:00, 41.28it/s]\n", - "Scheduling gate 5 of 12: 100%|█████████████████████████████████████████████| 22/22 [00:00<00:00, 41.88it/s]\n", - "Scheduling gate 6 of 12: 100%|█████████████████████████████████████████████| 48/48 [00:01<00:00, 41.45it/s]\n", - "Scheduling gate 7 of 12: 100%|███████████████████████████████████████████████| 8/8 [00:00<00:00, 40.75it/s]\n", - "Scheduling gate 8 of 12: 100%|███████████████████████████████████████████████| 8/8 [00:00<00:00, 41.65it/s]\n", - "Scheduling gate 9 of 12: 100%|███████████████████████████████████████████████| 6/6 [00:00<00:00, 41.61it/s]\n", - "Scheduling gate 10 of 12: 100%|██████████████████████████████████████████████| 4/4 [00:00<00:00, 41.15it/s]\n", - "Scheduling gate 11 of 12: 100%|████████████████████████████████████████████| 10/10 [00:00<00:00, 40.36it/s]\n", - "Scheduling gate 12 of 12: 100%|██████████████████████████████████████████████| 2/2 [00:00<00:00, 42.27it/s]\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" } ], "source": [ "code = codes.SteaneCode()\n", - "decoding_kwargs = dict(with_MWPM=True, ignore_non_graphlike_errors=True) # use MWPM, ignoring non-graphlike errors\n", + "decoding_kwargs = dict(\n", + " with_MWPM=True, ignore_non_graphlike_errors=True\n", + ") # use MWPM, ignoring non-graphlike errors\n", "\n", "noise_model = circuits.DepolarizingNoiseModel(10e-3) # noise model used to train AlphaSyndrome\\\n", "decoder = decoders.SinterDecoder(**decoding_kwargs)\n", From 80cec8a5f996db95bfbf1166a6f38b91cdc4a490 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Sat, 28 Mar 2026 12:43:30 -0400 Subject: [PATCH 69/71] update figure --- .../5_alpha_syndrome.ipynb | 54 +++++++++++++++++-- 1 file changed, 49 insertions(+), 5 deletions(-) diff --git a/examples/logical_error_rates/5_alpha_syndrome.ipynb b/examples/logical_error_rates/5_alpha_syndrome.ipynb index 20d6fefe3..7a991203b 100644 --- a/examples/logical_error_rates/5_alpha_syndrome.ipynb +++ b/examples/logical_error_rates/5_alpha_syndrome.ipynb @@ -211,7 +211,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "604a53a6-9624-4a9f-bf00-ff471676408e", "metadata": {}, "outputs": [ @@ -226,15 +226,59 @@ "name": "stderr", "output_type": "stream", "text": [ - "Scheduling gate 1 of 12: 55%|██████████████████████▍ | 2734/5000 [01:10<00:58, 39.02it/s]" + "Scheduling gate 1 of 12: 100%|█████████████████████████████████████████| 5000/5000 [02:09<00:00, 38.71it/s]\n", + "Scheduling gate 2 of 12: 100%|█████████████████████████████████████████████| 24/24 [00:00<00:00, 38.90it/s]\n", + "Scheduling gate 3 of 12: 100%|█████████████████████████████████████████████| 15/15 [00:00<00:00, 38.86it/s]\n", + "Scheduling gate 4 of 12: 100%|█████████████████████████████████████████████| 30/30 [00:00<00:00, 38.76it/s]\n", + "Scheduling gate 5 of 12: 100%|█████████████████████████████████████████████| 12/12 [00:00<00:00, 38.75it/s]\n", + "Scheduling gate 6 of 12: 100%|█████████████████████████████████████████████| 24/24 [00:00<00:00, 38.76it/s]\n", + "Scheduling gate 7 of 12: 100%|███████████████████████████████████████████████| 8/8 [00:00<00:00, 39.24it/s]\n", + "Scheduling gate 8 of 12: 100%|███████████████████████████████████████████████| 7/7 [00:00<00:00, 39.55it/s]\n", + "Scheduling gate 9 of 12: 100%|███████████████████████████████████████████████| 6/6 [00:00<00:00, 37.46it/s]\n", + "Scheduling gate 10 of 12: 100%|██████████████████████████████████████████████| 5/5 [00:00<00:00, 38.78it/s]\n", + "Scheduling gate 11 of 12: 100%|██████████████████████████████████████████████| 3/3 [00:00<00:00, 38.88it/s]\n", + "Scheduling gate 12 of 12: 100%|████████████████████████████████████████████| 50/50 [00:01<00:00, 38.81it/s]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Building gate schedule for Z-type syndrome extraction circuit...\n" ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Scheduling gate 1 of 12: 100%|█████████████████████████████████████████| 5000/5000 [02:04<00:00, 40.07it/s]\n", + "Scheduling gate 2 of 12: 100%|█████████████████████████████████████████████| 23/23 [00:00<00:00, 39.85it/s]\n", + "Scheduling gate 3 of 12: 100%|█████████████████████████████████████████████| 27/27 [00:00<00:00, 40.16it/s]\n", + "Scheduling gate 4 of 12: 100%|█████████████████████████████████████████████| 21/21 [00:00<00:00, 39.46it/s]\n", + "Scheduling gate 5 of 12: 100%|█████████████████████████████████████████████| 15/15 [00:00<00:00, 40.35it/s]\n", + "Scheduling gate 6 of 12: 100%|█████████████████████████████████████████████| 18/18 [00:00<00:00, 40.49it/s]\n", + "Scheduling gate 7 of 12: 100%|███████████████████████████████████████████████| 7/7 [00:00<00:00, 39.20it/s]\n", + "Scheduling gate 8 of 12: 100%|█████████████████████████████████████████████| 13/13 [00:00<00:00, 40.51it/s]\n", + "Scheduling gate 9 of 12: 100%|███████████████████████████████████████████████| 8/8 [00:00<00:00, 40.47it/s]\n", + "Scheduling gate 10 of 12: 100%|████████████████████████████████████████████| 35/35 [00:00<00:00, 39.98it/s]\n", + "Scheduling gate 11 of 12: 100%|██████████████████████████████████████████████| 4/4 [00:00<00:00, 40.45it/s]\n", + "Scheduling gate 12 of 12: 100%|██████████████████████████████████████████████| 2/2 [00:00<00:00, 31.44it/s]\n" + ] + }, + { + "data": { + "image/png": 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QHnU3VFMkwaiB2Jbk5OSADDWPUQcI3QTdbwTytulHkzKa/T+e/unu+MOVvX0+2In2+YV7/3JtP9Tt9LSe/77r6d7sTH+fy71coNsZrMTC+YXzGOTadqjbCWU9Tfd17I3S2HLjAUBrBuKyO+Q/yUj3aKjdDii//wdm7f5Imk4cAcXC/4MqsQAdA0s5M/DN2D/ihPyxA75GwazPhpphGIYZGnjcktwniZe42wBzmiQB2h+kRPb1g1DVS4InnnFnQHXYlWFVGwsGNtQMwzDM4MfWIBncpjJAHydldPeHzwtseh/4/lnA64LPkIDvMi/D9FknQNVLeDwasKFmGIZhBjf1e4GmPVJbSku6pNHdH221wJI/Agfaey7kzoZ77u2o2iJldscSsfPIwMQ0NBZKCmGxCPV3Jr3sgfLyyy9zEwyGGUzYpGYZQmGM9LYtmYEZ6b0rgfculYw0rTf3ZuDYPwCGeMQibKiHIaTTTYa3+4t6NEcaKi0iDXGS4qTMecpgJl1v6mMdaajVJ5XiMQwT43hcUpib2kwS5EXrDraW7Q2V1wHlyieBz38jJZwljQBOfxYYK2V1xyoc+o4mlJHYWtP756YUwBrAOEsIkFGmFpGdIUMZSai0iHTDqZUj6X5Twwsqt/j8889x7bXXYuvWrRE7FtqvwWAQL4ZhYpjWWqBuJ9BcCWipZ4EtMC+6dhfmb7sPKnuZND3hTGDmFcF1vnK2SW9epWh5GSnYo44WNJby7JHAs/N7fz23QFouDJBRJrGWzi9qNkFQRylS/qLaXGrfSHWK3aHuTpMnTxbLUOcoCovT+uvXtz/hAti0aROOP/540cCDmktQf+mamoMPJtdcc43w5KkLFTUEoWYU1IyDump1bju5b98+nHrqqWI7VG941llnobKyss9Spt/97neiqxadJx1n5+5Y9IBA+6VmGtTsg87h9ddfPyT0TSF1WvfVV18VHn9ubi5+9atfiXpmP/R/6qZFvaupHefjjz8uumzddNNNIX83DMP0gNsJVO8AStdI48sU5taZA0sY++ldqD++BnH2MvgMicAJjwKzrw3KSHtb6lBfL/1+VUP6rYwUbKijBd0gwlvu7SuITJ/TnowctZAkpTVqafn0008Lqc7uhfoUniYPmNo9Pvjgg7j77ru7LEM9mhcuXIgpU6aIjlxkKMm4kpEl6urqxDzynMnIdcdvMOl4yEjT8kuXLhUPDbt37xZh6t6grljUb5vaWFInsGOPPRannHKKeADpzF133YUbb7wRW7ZsEcv0BLXbpIeQjz/+WHT/WrZsmdAZ90MPFStWrBCf07F9++234powDCMjrTWSga7eAmiNQFwGoDxUNvcQyKD/907gu6eg8LpQbp0C9y+elzpiBYrXA3vdfuxraMNmr9Qv3kudsyIIh77lhNRYqXVaT0IWJFjhagOcqoOfH3E78Na5vWzMK31O6wSCxhjUGAv1pSYPtTO/+c1vhHdMIWcKP2dmZor5pK1NnrEfklMlj5RaRfq9blJooyYZfqjHMxlpWtfPiy++KMagaRyYDDmpbY0ePbrP46Sx6o0bN6KkpESsS7zyyivC8169ejVmzDj0D44MND1cUKtIvz74N998gyeeeELIwvohr5ceSvqCHhTI06aHCfKozz//fHFMv//974U3/a9//Utcj6OOksT5aTjBf90YhhkgFFGs2wPUlwD08yaSxQI0kntWAMsekcaiVTp4DrsaP7RNwQlBJIz5XA401hzAPkccqvQFsFoT0Fi+D5GGDbWcuG1Q/nFMjx+RaQ46n7BXI94DvykDtId6pr1x5JFH4p///GeXeYmJiSLMSwaxs7GZPXt2l+W2bduGiRMndpGtpF7SndmwYYMwjt0fBvxeKu0rEMjbpePxG2mCHgzI46bPuhtq8vbLysrE2HdnaJqOqTP0UNIfJA9Lsp1+ZTAKb1dVVYn/k2dPY9udz53kZkeNGhXQuTEM04fT01oN1OwE2moAY5LkSQcC9ZZe9Q9gy8fSdFIRsPBeeC05wNoDAV9yR2sjqqqrcACpcMUXITXODB/JkkYBNtTDFPIQi4qKwrb9lpYWER4nb7Y7ZOwcDofwyiOZMNadnkLu/cn80TEPtu5nDDOocDmA+p2SJ03RRyu1ogxwlLZmB/D1Q0DDXml64lnAjMulIcR2CdFAaKwuRXWLE1WafBjTCmHWSr8D0epgxYZa1qtpgPeuA71qfTc1N8MSF9f1c3pyfPkEoGIT4PMANPaRPh64+D/BlQtQ6FsGxowZI8LY1ISEDCrRObGLII/xtddeE8bWnylOYejOUF3z+++/LzxS6jLWk5GkcWEKRd9www2HGE0KjZPX7D8eevm96s2bN4vPybPuDiWbUTSAxo0pUcwPTXf3+gcKJZiRIadzp7A4QQL7FNqnZDyGYYLA38ixbC3gbABMSYH/rvmkhDHRN9rrljzwBXcD2f1Hzbp3pCN2N/rgShiHhKSMmGiixMlkckJfKIWfe3vRTdd9HmUtHvVbyUgT9E7TNL+vbXV/BXkzkZGlGubOL8rIPvroo0X29UUXXSRCxZQcdc8993RZl1qz0YPHlVdeKcLPNJ792GOPtV8C6TgoSYwSwChLmgwZhbtpuUsuuUQ0MyH8bUTJgJJRp2Qv2t5f//rXjnA7HQ8lrVFmNSVpUYb4hRdeKIxwb6Hr22+/XXjylNVNYXpKGqNsdEockxMKidN1ov1RmP/nn3/GZZdd1qVJC8MwAZY9VW2T/u+2SV50gEZa76qH6n+UMPZPyUjnzQF++UJQRpqeEeobm7Bv724xrUifBEtyZsz8HbOhjgVGHAVkTpH+T+80HWYo45o85s6vuXPnCiPzwQcfwGazCQN6+eWXi8Sp7l7rJ598IowflS+RIf+///s/8Zl/3Nrv1ZIhPuaYY4SxpeQt8pL9EQXySMn40nj5rbfeivHjx4t2dZSs5R8/pz+Ujz76SJR+kZdKhpvWIyPcG+ShUzY2bZP2S+dKWdnFxcWyX0d6QKGHipNOOkkcG42FUxSgp7aTDMP0YCGbyqWM7nrJSMKUHHCoW7F3BRZsuQfKsjUiYQzzbgWOeQjQB54R5PR4UVZehr2lpagzSFndWmP/4imRhPtRB9iPmrzNnvpRUzZyQUGBKGeiZcmI9Rr67uNz7PpGKiM4/k/AiCMx2KAkNPIm6+vrAxr7lZt+r2+Ett/a2oqsrCxRHkbXQ67j7Gm9zvdfb/2o//Of/+CEE07ot8+0HMsFup3BSiycXziPQa5tB7wdqpChLleN+0SXKpc2Hv9ZV4oTpmb32i+6a8LYU8CWT8SkL6kIiqPuBeLz0BvUa/o/aw902X5DqwNV5fvQ6FRCnTYayrh07NmwAvmT50Kp6jpk5/H6sOlAHbZv2YTJkybh1Km5UCkVA7Yt3I96MEHG+bofMFigEinybMkoUYic6qhPO+20YafstW7dOpEQR9EH+oMjoRWCar8ZhukBSsZsLgdqd0qlU+ZUqZ1koMleNTuAr34HNO4XkztSj0f+CTdCow08iuXy+FBR14T6qv1w6pKgzxsndL691CazB1buqsGz3+5GbQuNYavwyo5NeHTxTtx38lgcN17K5QknnEzGhASNaf/2t78V7xQ2/+Uvf4k77rhjWF5NqtumsXCKqkybNk2M6ycnJ0f7sBgm9nC0SBrdZGQ1esCaHXh+jY8Sxt4BVj/fnjCWDPcRd2JzZRrygxCGara5UV1bg9amWmiSCqBPHgmfuncjT0b64f8eWp1S0WjH1a+txT/Pnxp2Y82GmgkJMsqdDbM/NDvcIFGXNWvWRPswGCb2veimUsmLppA3jUOTFx0ordXAkoeB0nbVv/y5QhDKp4kDKgOrjXZ5pazyvfupdMsHfdYkeCw58PUhoELhbvKke4K2Ro8YD3yyGYvGpg8oDN4fbKgZhmGY8GFvAurIiy6VREtIXSyYbOo93wJLHwUcTQB5vrOvA0afKG0jwHB5s92NfTWSI6HWGqBOGwO3MaXf9TaXNbaHu9GrsS5vtOOHkjrMHtE1h0lO2FAzDMMw8kMqXg3lQM0uwNUKmFOC613gskkKY1ulhDEkjwQW/h8QL2kWBILb60N1swMVNfWS7jcsQMZkuPWWgNava3MFtFxVsx3hhA01wzAMIz8VG4G2SkBnCr5db8124KsH2xPGFMCkc4DplwKqwLPRW5xulNXb0VhXCZPSBaSPBPZUwKsxBlyXbHP1nFzWndS48JZjsqFmGIZh5IGypuvb5TtbKgFLalDGlRLGlD+9Bax5sSNhDEf+BsiaGvgheIHqFjvK6tvEMcSbTPAkjoNDT6HuioC24fX58OHaA3hl1Z4+l6MAfrpVj5kFgfUuCBU21AzDMMzAsdVLGd31ZdK0JQPorx66M63VOHznI1C1bJam8+cBR9wG6K2Bb4K86AY7aptaYHXVQRufCkfCSHhIAKWX0qvuNDqB+z/dig0HGsX0yDQztle2HLKcf5SdSrTCmUhGsKFmGIZhQsfjAhoPSBndHidgSQvYc+2gZBnUSx9FirNZlEopDr8OGNWeMBZgUnlVmwOl9Ta42pqQomqDJ7kANuuIPkuvuvNdSR2e3KBCm7sRWrUSV8wtxLHj0rBqd22nOmoJ8qS5jpphGIaJbdrqJC+aBEyozzOVXQXRpUpKGPs7sPUz4aE2GPJhOvEBaBJ7VxjriT21rahrsSPO24R4vRJO61g443IC7l1td3nw/PISfP4zPWAoMCLZhFuPHYWcBElv/PARyTisIElWZbJgYI+aYRiGCQ63U0r0qtsthZQpzK0M0pxUbwW+/n1Hwphn4jlYpliE460He8/350XXtDjE/2uaW5GmaITSYIU9oTig0is/O6ta8OcvtqG0wSYeFhZmenH1SeOg03bNUCejPCHLirhqHybkxEfMSA8bQ/2LX/wCS5YswVFHHYX33nsv2ofDMAwzeGmtBWp3AC1VB73oYMu2fnobWP2C1C2Q1j/yHnjTJsG3NjDxEpvLg/IGm6hhJtJAUqTpsMUXw6s1B3YYPh8+WFeK177bK8q4Ek1a3LxwBCw1G/vXGo8wsXU0YYLaG5I2NXMQkv6kzlRPPvmkUNeipg7jxo3D8uXLY+YyDYZjZJhhg9sBVG8HSn+UEsdIuEQXZJcpMu6f3Qr88KxkpAuOAM548WD3wACabdW2OrGjshkVTQ4kKNrEfJe1APakcQEb6doWB+79aBNeXrlHGOnZhUn42zlTMDE78MS1SDIsDPWCBQtE72DmINSiknjxxRfxxBNPiOnc3FzR95nkQOXiD3/4A8xmc5+vffv2RfUYGYbph5ZqSb6TwtVaExCXHvD4bwe7lwLvXwaUr5cUxo64Azj6ASBA8RGH24s9tS3YUdkCl9uLDGUDtO2H4IwfAV+AYiqrdtfh+jfX4acDjdCplbjuyCLcffxoWAyx2/Et6oZ62bJlOPnkk0X/YvKePvzww0OWeeqpp5Cfny88qsMOOww//BDbXaao1SG9fPT4147T6RTzHA5Hj8t2NjzUJo7mURvDQJYNBep4RS3oqNfz/PnzMXr0aDz00EPCaFIf6enTA2+63hdXXXWVMLB9vei7D/YYS0tLe93nnj17ZDt+hhnWuOxA1VapX7SjUfKiyVAHtY02YOkjwJf3AY5mIGUUcMbzwOgTAsrq9vlIIcyJ7ZXNKG+ww6LxIclTA6/WClvSBGmhALZDCWNv7VLij59vR7PDjaIUM548ewqOHZcubE8sE3VDTYZn0qRJwhj3xNtvv41bbrkF9913H9auXSuWPfbYY1FVVdWxzOTJkzF+/PhDXmVl7fV8EcbvKVIP684dlrKzs3H99dd3WTY1NfUQr5KuBc3r3s+YHlZo/pYtWzrmvfzyyyEdIxnI008/XWzTD/U6lpvExEQUFRX1+VKr1VE9RoZherCOFKYmL5pUwijEbU4L3osmI//vK4Ft/5EqjyefB5z6lNQ1K0Avel9dG3ZUtMDh8iJN74HJVQtXXDZsKRPhDbDGmkLlN7+7EauqlCJh7Iyp2XjklxORlTA42vJG3VAff/zxwkuihK+eeOyxx3DFFVfgkksuwdixY/H000/DaDSKcGjnH/RNmzYd8urNU2Oka0YPOJ1ZtWqVaM9IPaY786c//Uk8+EyYMAGvv/56x/x7770Xo0aNwsKFC0WT+P/973+yh757O0aKJEycOBFnnXUWxowZg4svvhhu90FBA/r8oosuEp+dffbZIrpBx/vMM890LHPBBRfg008/xXHHHSfOjV6ff/453x7M8Ia8aApxH1gDOJsl+U9qphEMpDC24Q3go2ulGmtTCnDSY8DMKwLODq9vc2FHVTNKG9tg1qmQqGiC0t0Ge8Io2BPHBFQfTd2v3ltzALe//xPKGu2wan343SljcPHh+TGXMDZos74pXEwtBO++++6OeUqlEkcffbT4wQ4HFJruHJ72t26kH/7uYWaaJgNAoWh/mJve/evQA4U/TH3rrbeKh42EhIQuoWtKmCIMBkPH/Kuvvlp40yqVqsuyu3fvPmTZCy+8MOjxWpvNhh07dgjD5l+X3mkcmLbnh+atXr0a77zzjhhuaGtrE0MPFIY+cOCAMGoUnm5oaBAPUWQs/dfDz5VXXil6VfdFenr6IecQyDHSw9jzzz8vwtw0bk3H+etf/1osR1EHeqggQ03Z/jTEQuvRd0APfi0tLVi5cqV4wCCv/z//+Y849ubm5h6vZ+fvdyDj46Fup6f1/Pcd3Yd0r3THf7/2Nzwi13KBbmewEgvnF85jcDklMQ/X/rWAswEwJQEaAyBut8DvVXdTBebs/CNULVIPZ2/+EfDMvQXQWfqssXa1f9bmdKO+1YnyRgfI/03Qq6G1VcGjMcGRMAIeKr2ivwePG952tTH/e2eodOvxr3ZhU5n0ezy7IAEnJ1VjTLqpx+U7b6e/zz1u94C/g2DWj2lDTaFjj8eDtDRSujkITW/demgj794gw04GhcLsFH5+9913MXv27B6Xffjhh/HAAw8cMv+bb74RhrczFLIlI0M/+vRQQdAPvZ/O/ydMJpNYzr9sZ2gb3aFzD2RZMmrBQA8/NCbz6quvYubMmbBareK86+rqcMMNN6CxsVHsmx44vv76a2HM6DjofOfNmyeM3t69e4UnSuPolDswd+7cHs+Z1qHwfl/QA0Aox1hYWIiRI0eK46Q8B/Lozz33XHF9KKRO3zUdDz1EkOGmYRNi3bp14sGDjr+4uBhLly7FTTfdhJNOOknsq6++2t3PL1RC3U7n9eg7oe+evo/O0YTuLF68OKBty7VcoNsZrMTC+YXzGBZvbWj/H3WbCo7M+h8waf+LSPa0wa3UYWP2BdgXPw/4mf6mAutXv2RTV1WzCvEv9a52A1XbANCrK/s2ftdlen2tAm/vUqLNo4BW6cMZBV4cllIthrK7L9sT/S2z+cflaBc6DZmefvcGpaGWiy+//DLgZcl7pzFxP/SjnZOTgyOPPBJJSV37jZKR2r9/vwjf6nQ68SNK2eU9JSb4vbXePo8k5KlSYtZtt90mvGAyesccc4wwWHSuZKTJQ6PxYDLC5Ln5x4YpuYs8ejpfOif/fP84s1znF8wxEvQQRful/dP3QdP+z+h4tVqtmL700kvxwQcfiIgM5Q2Q8aYQO4XAKQ+CDP21114btu8v1O30tB7df3RuRxxxhPieenpipx/0RYsWie+tN+RaLtDtDFZi4fxkPwaKzrRWAbW74WprwOI9wKJJmcGHhV02qFb9Dco90vBXvbEQ+uPuw/iEHIwPZHWPD+UNbdi0tx4p8UbEm3RQuxqhctngtOTBZcntMaubPFwyqrkTZkGpUov66ueX78GX26vF50UpJtx6dBEy4w2HLNvj5ehlGaq5rm0mD9+L5t1rhfNHvykDoS+HYFAZahqLpB/jysrKLvNpmjzZcEAGiF7doT+K7n8YZCzoR5PC8f4fT/90d/zhyt4+jyQbN24U47E0hkuv7viPj97Jg6bMbTKY9ARIkYXf/e53Yvyf6tNvv/12EfomA0rjxXKdXyDHSMacjOzUqVNFlIS8+s7797/759GLxqvJOJPRptpsSjik0DeFxMm4049gOL+/ULfT03r++66ne7Mz/X0u93KBbmewEgvnJ8sxOFslZbHGfYBaByRkAXtKhZEOylBXbQG+fghookoMBTyTzsW3iqNwfEJOQNtpsrlR2tCG2lZpyDHRrIHOUS3Gsh2p4+E2SRVBfT3WklHdWWPDX77YJsaiadlfTsvGuTNzoe52DLRsb4a6p2Wcbi+qm+1INOuRn6jHqt0QRnqg1z+Y9WPaUNPFmDZtGr766iucdtppHT9YNH3ddddF+/AGLWTcKFQcCDT+e+aZZ4rvgf5YaFggIyNDvGjslwRIyMMl4ydnrXogx0gJbpTo9tNPP4nj7G8s3D/8MGPGDPHyPxDQQwg9EJJ3+sILL8h2DgwTk9BDH2lzUxMNexNgTpEMdTAa3WI7HmDDm8CPL7UrjKUCC++BN3VCQApjLq8P1U120e2Kkr4SjXrU1tugaa2E15AIR0IxPPqE/g/DB7y3thRvrD4gtpNs1uKWo0diQnY8Bkqz3YUmuwu5SUYUppihCmKsXk6ibqhpPHHnzp0d0yUlJeJHmrwcEregMDR5VPRDTOOHlExEY83kAUWSYJLJwpmMNFBo/2ScKMTf23HQdacxXP/n5DXTy49//p133okHH3wQ9fX1mDVrlghVy3F+gRwjzacHuTfffLNLaJjeux//I4880rEOjeXSth9//HExTSFEyl/ovu2ejsn/zslknEw2aJPJnC1A3R7J+6WsaXOGVIPs8XYkc/nf+6SlEqqlD0NZ8ZOY9BYsgGfOzaKMK5DttNjdwvOtb3PArNXArFfD52gVn9mNGfAkFMKnNvTbmrKqsQ1PbVZhZxPphQOHFybimvmFiNOrD0kI6y9RrPNnbrcL9c12qBQKjEoxISPeIIy0nMl8wWxD4eusyhEFSIObxn+7Q8bZXyP897//HY8++qjIkKZynb/+9a8i+zicUC0zvSi8vX37drzxxhu9JpORRznQ8YrBCI33UviZbjiqD6fM60hBJV10j1AoPlDIQJ9//vniOO+44w4MdiiZjHIk6O+ir2QyhpGTzPrvMWn/S9CKhDE9fsq+APsT5wbcklIu1rUnjNm6JIz5In0YIUNDiZQTQ/k3/elDRN1Qxzo04E8Zx+Xl5b0mk5Egx2BKJgsH0T6/cO8/VpPJSIWNHhQ5mSz8DNpkMlIDqy8BGsukemhqpNHTtj1eLN5Q1nsymbMNqu/+BuUOSWvAmzIangX3AJasgLbT6nSjvMGB2lY7TBo1DDq1CJlrWqvh1Rhhi8tHya5dfSZ7EZQw9tzyPfhqq5Qwlmvy4a6TJiArsW+d70CSyZpa7ajb8SPyJs5CUZoVOo0qbPcA2RbKwwrEUEc99D1YGErJZOEg2ucX7v1zMtlBOJlskCST0RgyiY1Qv2iS8bSmAgHoYfeYTFa1uT1hrAxQKIXCmHLaRVD2IV7i3w5FwKtbpLFoh9uDZJMeKpUCCrcdalst3KY0OBOK4VORStiuPpO9tlc2i5aU5f6EsalZmK3ZK4x0fwlifnraPmV1U9210if9jo/OTIBepw1rMt+QSSZjGIZhQsDWIBloMqx6s6QuFgpk7Ne/AayhhDGvJCN65D1AxsSAVicvmgw0GUG9WoVks1RRo3Q2QeVshdNaIF4+FSWz9T584/H68P7aA3jjh33tCWM63LpoJMamm7Bn/V4MBIoAVDU7EG/UoCDRjO92Sr2nYwk21AzDMEMFMnaN+6WyK5cNiEsDVCF6fs0VwDd/ANoTxlB4JDCPFMYCq+6obnagsskhmmHEG7VQqxRCUUxtqwYUKtGW0mXOlDz0PqhqtuOxxdvxc7vC2NyiZFy7oEgkoPWVGBYIlNTWaHchO8GAESlmqBWx2ZWPDfUwy/oOF9E+v3Dvn7O+WUI05iVE7Q1AXYlkYEmukzK6iQDLrjpnayt2fQ3VysehcLbCpzHAM/tG+IoWdWSI90WLTTq2XdUtMGrUSDBJIWSP2wlNWw1cOisc8UXwUumV+Fv19pqVvXxnLf6xdDdanR7oNUr8em4BjhyVLA6Dlgskk9tP52Xp77m2xQmFwoeRKWYhiKJS9J/VPWyzvmMVzvpmYh3O+mbkRu2xYcKBV5Bbt0JM1xlHYE3+VWjTdZVxDjd2D/B+iRI/VEvedp7ZhwuKPEgZHM2uAoKzviOU9U3NO6hMKC8vT2TdctY3Z31HMuub/tDp/qO68Z7U9FhCdIhnfVPCV1utpCzWXCVlc+v6znzuC0/5Jni+fAgmZxV8CiW8k86Dd8oFAXW7ohaU5Y02MdarUShRXteCoqx4MdarstdD4XHBac2HKy6n1+35s7LtaePx+NclqGhygIaKfzk1C2dPyzpEYazzOv1lindeVpM3GdmJZhQkmaDXBpfVzVnfMU5PWX5+Wcra2lphxMnDIePdW9Z3X58PdqJ9fuHev1zbD3U7ndcjQ03/r66uFopqVN/f17ZYQnQISojaaqBpKZUMNRmohMyA20f2nDD2OtRrXobC54XPnAbFwnugSp+I/rpPUzy2rs2J0vo2tDg8SDBqoVQqUF4HEUrW22rgVRngSBoNjzENyj4eTilJ7PMDCvzvu61CbSwlTkoYG5fZf8/p/mRB6UG3vkWSKB2VbkV+qrXPhLFIVDZw1neEoB9J6tBELR9JYY06GZEMZW911H19PtiJ9vmFe/9ybT/U7fS0Hhlo8qaH4oMf00uf6IYy6f9l6wFqxELJYqEaaIKkREXC2EZR7nQgYRbSTvwNNMa+63oJh9uLsgabSBgj7z6FMrrFELY0mkpSoG5TqpAC9Wr73l5Vkx1/WbwNm8ulR4MjipNxNSWMUa31AJGyuu2w6FSg3nO5SaaYy+ruD04mGyDUqYlaJdKPKDWmoE5GvYVMqB1hb58PdqJ9fuHev1zbD3U73dejh0RSxhuKD31MNxwtQrITDfuBtkZpniWdXLKBXaqdXwHfPga4WgGNEe7Db8SaxtE4oZ/wOXnR9Tbyom1CC9tq0EKrPviwqHRKrVidcbnwJBZJpVd9sGx7Nf6xZKdIGNOpfLh6fhEWjkmX5d5udbjRYHOKZLH8BB2+GWhvyijBhloG6EeTxghJxpHGqnv6AaZl+vp8sBPt8wv3/uXafqjbifb1ZaJUC00Z3KTLTZ2u9Jb2euhSivWGvl3a1vIngJ3tPa3TxonaaJ8pHeinmQZ50RWNdvEirzTFrBdetECUXtXA4yOjrRAiJso+BFbanG48s3Q3vt5WJaZHpZlxVmYDpo9KGbCR9lFWd6sTPvgwOj0O2QlG+CjEP0hhQz2A8qzun3d+D/bzwU60zy/c+5dr+6FuJ5T1Al1HruWifQ+Em4icH7mrVGbVVC4ZaY8TMFiBOEmwJKjGGT2gqPwZqqV/gKK5XEoYm3w+vJMpYUzV77Yb2lwiYYy6SVl0Wmg1SnjoeCnS7XVD01YNl9YCW1wBULNNKpPspWxqW0UzHvtqZ0fC2JlTs3DmlHSU/vx9ULXR3h7Ks+j4q1scsOo1KEgxi25aZKQD+f64PGsIlmcxDMMMBhQ+D4orPsGoig+hhBet2mSszbsKdeaRET0Ojw9YfECBzw/QUSiQqPPh/CIPRvQ/JD7k4PKsCJVnRSutPxaJ9vmFe/9ybT/U7YSyHpdnDYJ7zOOSMrebDgCttZKgiCFB6g8dSuOMnmiuEF60snKTmPSOOBqew28AtOZ+t91kIwlQm1DvitOpD2lScbD0Kg+uuFyR2NZbyVRlkx2Pf7ULWyqkMewjipLw6yMKOhLGgim18uNfJ2f8YWi0e+GBD/mJJmQlGA4p5wrk++PyrEGOXCUusVDaEU6ifX7h3r9c2w91O6Gsx+VZMXgPuB3tCWL7pLFokvm0UNOMwLbbY+OMntixWBqPbk8Yw9yboSxehL7WlLarkMaim2xC4pvGorsUF/g8ULdVw6fSw5E0ocfSq84lU0vbE8banB4YNCpcvWAEjhyVGlKpVU9UtbkRbzRgRKpZlHUN9Pvj8iyGYZjhCiVytVRJBtreBGgNQFz6wJLDetxPS3vC2JfSdNp4qZmGpV1WtA+abW5UNttR3+ZEnE5ziCiIwkNSoNVwG1Ngjy+GV2ftM2Hsn0t3Yck2qSUlJXbdeswopFv0Az3Dju0TaRY9RqZbYZKhnCsWGZpnxTAME0vYG4HmSqntJBlRfRxg7b8hRU/onbVATRu1eOp5AdrPd09JyWi0/akXAlPO77fe2tVe/7yzqkXkhyWZunnRovSqBSpnMxyWPDjjR/RZekUh7se/2inqrClh7JwZuThreo4sNcw+nw91rU643JKhHp0WJ/W3HqIM3TNjGIaJJpQRbauXWk2SsAgJllAGtzVbGosOBY8T87fdB83PUiepPonLkLzo9PH9Ltpsd2N/XZv4v1alhMnQzTRQ6ZW9VvzXnjhakgLt5SGDBE/+u1+BL777WSiMpcbpcNsxozAmQ56MMbfHKzx+q0GDkWlWrN6FHuVFhxJsqBmGYeSEypL8CWLk3frcAHWKMiUPfNtKDWyaJOjczVAIv7cXRhwNzLsZ0Jr63Jzb6xPtKClhzOGS6oz1um5h+PbSK482Do6EkfAYej+PClIY+2IrtlZI21gwMgVXzR8hW0i6zekWIfkMqwFFqWZolcOjpxQb6gDhOur+r0/n90jDddShXxOuo5bpHqNaXmGgS4HWGpGQBWP8wQzuEGufuxyD14ctmWfg8F1/7nUZz8Rz4J1xZb/7bHW6Ud7gQG2rAyaNClajFtX1bR0SoITCbYPaXg+7MR2u+BHwUkJaL3XOS7bX4JlvS0TCmF7lw1VHFOLI0WkhtaHsUau71Qm3z4fCRBNyEg1QK31B/d1zHfUQhOuoGYaJSXw+HLHtflhte6Ds5FXT/5r0OVgy+qHQQ+shYHMD75YosaZGCj8XxEktKZPkyRcbsnAdtYxwHXVgcB11eK8T11FHn0O+A6cNaK0CGksBRyOgMUgynwNpktHfMXi8WPX9aiyofweqinWHfO4+9k/wZc/odX2b04OyRjtqWuwwqNUw6Q8eK3nSO0sbUJRpgc5eA6h0sMePEKVXvRn+LeWSwhi1t6QcsbOnZ+OMSWlCYSyYeuje6qgp1N1oc4ms7oIUE0xadch/F1xHPQzgOmp5r1O44Drq0K8J3+MB3mM+BzQNpdIYtKNZ6gGdkBVSBndQ1O6Cau0rWFiy7NDxadp3cjHUuTN7NKo0bE4h7gP1NthdHpHRrVb1bHwNtkr4jMmwJxTDp4vvseaajPrbq/fh7R/3i4SxNIsOty0ahdEZlo7QdSj10P71FEoV6ttcoGHzonQr8pJMfdaNB/N3z3XUDMMwQxG/Bjdx4EfAYwP0A8zgDpTqbcDaV4C9KzqMpjdvLpRZU4GVf20/Pi8w/bIej4W86NIGm9C/1qtVSO5FEIRKrwhHXDY8ZKTVPceuSQiFWlJubVcYO3KUlDBm7ObtDiSru6bZBbNejTEZViFgMty7xHEyGcMwTG+QK2qrk8LbjeXtv5o6IE6GDO7+qPxZMtD7v2+foYC3YAGW6I7GvDmzoaRY847PJUOeMgroFvIWXnSbQ7SjpBBygkEHtboHg9deeuURSd9KOONHQtmDhCkldH2zrRpPL90Fm8sDo1aFaxYUYf7IFFlPu6rFgcwEs1AZk6Mf9VCArwLDMEx3qCVia7UkUEJKYgR50HD0W/I0YM+9fD2w9lWgbO3BsHbR0cCU8+CJy0GzvxUleZkzrgBW/k167+R12l1elDW0obLZAZ1K1bUd5SGlV1XwaiywxxcCtVt7VElrcbjxzyW7sGyHpDA2NsOCWxaNFGPHckFZ3URhsgmFaZbAtcyHAWyoGYZh/LidkoEmiU8qtaIxVlMSQH2VZSiv6tNAl/4oedAVG6V5ChUw6jhg8rmARWpzecgxZE8HzvpXl83UtTlRVm9Ds8ONeIMGGnXPBk/htgtP2mXMEL2jPcqeQ+I/lzXiscXbOxLGfjUzF2dOk0dhTDolnxAwMbR7+wXJfY9HD0fYUDMMw7hsBzW4qUmGhsLbaWHN4O6wrPtWSR509RZpnlIDjD4RmPwrwCzVIQeCw01etE1IdqqVCqSYdT170dT1ytEApdsGh3UEnNYCaZ/d6pfJgL65eh/ebU8YI33uW48ZidHp8vWkpPHzujaH2HZeog7LtlJgYHiPR/cEG+oAYcGT/q9P5/dIw4InoV+TYS144m+SQWPQzmapw5SJDLRKKkzu5MFSaVTn9wHh80KxZzlU61+Dom6nNEulg3f0SfBOOPugilm3ffV0DGTrG2xOlDfY0exwwarXCi/aQx90F+7yeaFuq4FXpYUtfizcpnTApxBGurPgSHkjtaTciW2VUoLZwlHJuGJuvkgY60+8pC/hks40tDrh9HhRkGhETpJRGm4I8v5xseDJ8IYFTxiGkR2fF1n132Fk5Sew2EvFLLdSj5Lko7Az9Xg4NZboHp4PWF2jwHu7lXB4FTCofDir0IupycNDqjOSsOCJjLDgSWCw4El4rxMLnsjYJIO6StHL45SaZASYHEZe7OINZVg0KTP4MVSvG4qdX0K14Q0oqP6aDkdrgnfs6fCOO709US3wYzhqQqbwnqsaHWh2umDRaaHV9H5MVHqlpq5XcVlwWQp6LL1qbrPjL5+uxbpaaTtjM+Jwy1FF/fZ3DkS4pHOou97mRFqcTgiYmHWaiNzjBAueDANYDELe6xQuWPAk9GsyZO9xCqlSYljDfklJjGqOSYObwtwhQEY6YENNDwPbPwfWvy49HBA6CzDhl1CM+wVUujiE0ol6f71NhLspozstztDrWDQ9nKjstVD4fHAmjYY7LkeIiXRffFMpJYxtQ3WLUiSMnXtYHn45NXtACWPdBU8oq9vh8aEoTRIw0faS5BbK/aNhwROGYZhBiMfVXmJFBrpGKnMyJBxskhFO3A5g62fAhjelYyBo3xPPBsacAmiDf0igZLHyBqkVZX2rAwkmXa/qYgKvp730Kk6ojLmNKT2Ki7y5ej/eWyMljCXrfLjjxPEYk5kAuaCktKpmu6i7npBuFSpmnDAWHJxMxjDM0IL6Prd2yuBWaQBzavgzuMW+bcCWj4ENb0tCKYQxGZh0DjDmJKAXta++IOESKrkqb7Ch0S7VGieadX16u6L0ylYHtykNjvhieLXmQ5Ypb7Thz19sw/aOhLEUHGstx6i0OMgFyZXWtjqFcSYBE4s+hiItgwg21AzDDA0og5v6P5MHbW8CtAYgLr1HAY+w7PvnD4GN7wD2RmkelVZRDfSo46U67BBotrtR3mRHbYsDWpVKaHTX1tv6XEflaITS3QantRBOaz583fZNCmNfba3Cs8t2C4Uxk06FaxcUYU5hAvasb1dfk4GGNiecPqUQMMlP7j3UzYTJULvdbixZsgS7du3Cueeei7i4OJSVlcFiscBsPvTJjWEYJmyQYRQG+gBAetX6OMCaGf4mGQQ15dj4HrDpfWnfhCUTmHw+MPKYkL14CnNXNTlQ2WSH2+tFvEErwtyde0Ufgii9qhYPBfak8XCZ6Bp09bpb7G48tWQnlu+kftnAuExJYSw1Th9Qz+hA8B8j7Xp8pkXUSHOoe2AEfRft3bsXxx13HPbt2weHwyGy7chQ/+lPfxLTTz/99AAPiWEYJsAM7qYyoLlcCncbItQkg6CQ+sZ3gZ8/AFzSuDHic4Ep5wMjFoZsoDvC3I02NNtdiNNpYNX2Hy5WeFzCSHv0iXAkjIRHH3/IMhtFwth21LQ4RNj8vJm5OH2ACWM9hbprmu3i/+OzrUg0G2Tb9nAm6LvpxhtvxPTp07FhwwYkJSV1zP/FL36BK664Qu7jYxiG6WrJKIObSpzIi/Z5ADJKfoGQMKNzNUD5/SfA1k8At2SQkDgCmHoBkD9vQGF2kvykzlQ17WHuZDN5ov2vp3S1Qu1ohDMuG474okNKryhh7I0f9uG9NQeE/kmGVY/bjhmFkTKORftD3Xa3B/mJJmwvgXjIYKJkqL/99lusXLkSWm3XcY/8/HyUlkoF/AzDMLJCYVl/kwx/FrUxMTIZ3ERLFZTr38CiLZ9B5WtXzkoeCUy9EMg7fEBhdlLnqmx0CL1rqpP2h7kD8aJV9jqxb3vCaDjjcg55UCBJUUoY21ElheUXjUnDFfMKYdDKN25Poe7qFjv0GhXGZ1mRZFBhu2xbZ0Iy1F6vFx6pH1oXDhw4IELgQxWWEO3/+nR+jzQsITpEJUT9TTLIQFOomzK4DYnSOxHORhlEc7kkUrLjc6i80hiuJ2UsfFMugC97phRmF4fgDSk4QLXQ5EWTNx2nVcNslByg3saiO8Z/W6oBhRcOQwpc5ix46ZrQcED7OLOUMFaN55bvgd3thUlLCWOFmDOCoqC+HsejA5X+7B7qplB9slmLwhQTLHp1yPdBKOu5WEK0Z84++2xYrVY8++yzwjD/9NNPSElJwamnnorc3Fy89NJLGAqwhCjDDF9M9nIh85ldtxLKdiNcbR6D7emnosY8JjLj4CHS5gbe3qXE+jrJyy+yeHF+kRcJEQo+MDEgIUqe87HHHiue2Hbs2CHGq+k9OTkZy5YtQ2pqKoYSLCEaGCwhGt7rNGwkRCmLurlKShKjLGqdWcrijkQGN1FfAtX616EoWQIFKZiRh5k1Hd7JF8CZMi50CdFOYe6aZofI6Kb/WwMJc3s9UDsaRKjboUvEjopW5I6fCZ9Sg83lTahvcyHBqBE9omn68a92idplShI7d0Y2fjE5M6CEsb6kP7t79aJcTK1EYYr5EAGTWLzHh52EaHZ2tkgke/vtt8V7S0sLLrvsMpx33nkwGIZuht+QlVeUmWifH0uIhn5NonaPk69gbwAay4AWyuC2STKb5ghlcBM1O6RWk3uWHZyXe7hIElOmjgGZZV97mD0oCdFOYW7SuKYxY6qNNuvUiDf1U1vt80Blb4DS4xTZ3DQG7dImABWr8P2+Fjy3Yg9qWyQBFMKgUYm6aCKzPWGsOISEse7Snz0JmKRYDChKiYPVKP9vHUuIymCoyWs+/PDDhWGmV+faavrsiCOOCHaTDMMMR8h6kXoXtZhsoSYZLsAQDxgPVpOEnaotwNpXpJ7QfgqOAKZcACQXy7KLFqcbFQ1SNrdaqUSymTzQPlbweYVoicptg1uXCFviaLgNKVLJl8eNDbUKvLjq0HQtv5GelG3FPSeMlTVhjGi0udDmdCM/ySQaaujUERCSYUIz1EceeSTKy8sPCXGT+06f9ZRoxjAM0wElK7XVSAli1AuaMCaEJK8ZMuU/AeteBQ6slqYptF54pFQHnVggyy4otF3d5EBFk138P16vhVqt6NtAO5ugdLbCo4uHLbkYLtLnVmq6hJ3/vadvb760wSarChjtU5SMqZUYl2UV3joLmMS4oaax6Z6+pNraWphMgbWLYxhmGCIyuEmDe7/kSVMpkSkpZHnNoKEQe9layYMu33DQQBcfA0w+D4jPkWU3/mzuskYbmmxumLVqWAx9hICpwxUZaFcLPFor7MkT4DamHiL9SdAYdIOz7+GAmhYnNpc1YkL2oaInwSKFuh0iClCc2neom4kBQ3366aeLdzLSF198MXS6gymE5EVT9jeFxBmGYbpAY84tnZpkaPSRa5LhN9D7v5c86MqfpXm075HHS1rclgzZdhVUmNvng9LVDJWjBV5tHOyJY+E2pcOn6j09u6r54Jh0X9S1DbxEjkPdsUPAfylUkuX3qKksq3PiGImfzJo1i5XJGIY5iKMFaKmUPGhns9T/mYxiJJpkiB8rL7B3hZQkVtM+pkte6uiTpG5W9LAgEy6PD9XNdtFAw+lqFy3pI8ytdLYINTGPxgx74hjR5aq7olh31u6tx6vf7wvoeBIH4PkKAZNWOzRqhQh1Z1j0UMooM8qE0VD766NJgey2227jMDfDML03yaivbi+xapPKqyxZkcvg9nqAkmWSB123W5pHRnDsKVI/aBmT1chZr2/zh7ldMGs1sMRp+jXQXo0J9sRRcJky4FP3XS1T1+rE88t349sdUiMNBXzwofdrSeIjYzMlxyoUSCEtxWJEUaoZ8e0CLEx0CTr2dN9994XnSBiGGdw429svHlhDPqbUJINkPiMFKYft/BpY/5oUZifIix/3C2DCmVJGuYy0Ot0oF2FuqWa5L21upasNKkeDMMr2hGK4TRnCWPfn2f53Uzle/W4v2pwekFN70oR0WNtK8erO3qMSJBEaSqMNCnUTOYkGFKVZhSQoExuENEj03nvv4Z133hEdtJzOrmMma9eulevYGIYZDJBbSSHuyvbwss4I6CPY7pbKunZ8Aax/XfLiCa0ZmPBLYPwZgE5eaWMpzG0LKMytcNugtjeIxDCnpRAucya8dGz9sLOqRbSjpHeiONWMa48sQkGiHnvWH0DWiJGH1FGTJ01G+vARwTUo8fqkrG5Vu8BLcUocdGykB7eh/utf/4p77rlHJJR99NFHuOSSS0Rf6tWrV+Paa68Nz1EyDBObUHvJ+hKgfg/gUx30YiOB2wFs/x+w/g3pQYHQW4EJZwHjTgO08lah+DUcd1W1oNnhgomyueN6TvxSuO1Q2+vhU2ngtOS1G+i+1acIqlN+7bu9+GxjOUjWmzS6L5ydj2PHpQsv2a/DPbswEbNGpIjsbkocozFpCncH60k73B5hpJPMOhQkmrFiB3g8eigY6n/84x9C5/tXv/oVXn75Zdxxxx0oLCzEb3/7W9TV1YXnKBmGiT2oMQQpelFNNLWZVJLROhD+/VJ7yS2fABvelvZNGBKkBLExpwAa+RUSKcxdVi+F9ikMnWSiBKtDl1N4HJKBVqhF20nRMEPXf8idknRX7qrFs9/uFmPSxBHFKbh8bgESelEwI6M8kBIsGlOn88pLMqIg2QxVCI1FmBg11BTu9pdhUeZ3c3Oz+P8FF1wgMr///ve/y3+UDMPEVj10Q4mUqEWDslZKFFOGv5MVJaZt/gjY+I7USYswpQCTfgWMPjEsLS8pzE0eZ3mjHTan5M1SLXF3I63wOKWWk1DCZcqEy5wNj84aUAIdCaI8vXQX1uyVzon6RV89fwSm5CYgHFCou7rZAY1KgTEZFmTFG4QX7XKxoR4yhjo9PV14znl5eaJb1nfffYdJkyahpKREPBUOVbjNZf/Xp/N7pOE2l6Ffk6CXK1svebKUKKY1drR5pF7K4nO5DbajBcrNH0D58/tQOJrELJ85HZ5J58JHYiV+YRAZ90s/ZSRaQn2iG+1OmDRqkQFdU9/WpQWl1BOaDKwPDmOaFOImD1q0v+xbpZGu00cbyvH2mlI43V6olQqcMSUTv5yaJVTA5GpF2RnaT02rA4kmLQqTTYg3auDxuEGCknL9DXGby8AI5joH3T3r8ssvR05Ojsj+plaQt99+O+bMmYMff/xRiKK88MILGApwm0uGiS4adzNGVH2OwurF0HilsHOLLg3b007BgcTZIrw8WNnVBLyzW4UKm+RxF1u8OLPQi7Sh29eIiWSbS6/XK15qtfRH8tZbb2HlypUoLi7Gr3/9ayF+MpTgNpeBwW0uh3CbS6qLrtsNV0M5Fu9Br20eyUMcaBtIga0Oyo3vQbn1IyhI1Yz81fg8eCafD1/BgrAJpri8PtQ1kza3Aw63Gxa9FppOmtnkSe8sbcDoRC/UPhfcxhQR5vYYEgNuw0njwi9/tw9fba0W01a9GpfOycP84uSA9LMDbUXZZR2fD7XNDqhUCjEWTaH1ngRMhvI9PqzaXFKHrD/84Q+49NJLRbtL4pxzzhGvoQ63uZT3OoULbnMZ+jU5ZDkK3VLjjNqdUgJXfDqNqPbb5jGUNpCC1mpgw1vAlk8Bj0Oal1QkOlkpCuZBHaae1FKY24XyBpsIdxs1algt3VxbrwcqB4W4lVDo4+C05sKtpwQ6lWiB2f8+fPhqSxVeXFki2lwSlMl90ew8xOk1srai7B7qJsW0RLMeRalxIuQdqb8hbnPZN8Fc46AMNXnRjzzyCC688MJgVmMYZrDhaJYMNLWg1JkBS2b4ksWaK4ANbwJb/wN428ftUsaIXtDInR1WRTPK4K5otKG62QmlQnFoNjf1hBYtJ+1waCi5ywZb8gQoSa88QPbWtuKfS3fh5zJpfD0/yYhrFhSJRK5w0mx3iVdukhGFKWYWMBnEBD3Ic9RRR2Hp0qVCSpRhmCEGtX5qLpPKrpytkh62KkwREvLWqQZ6++fCIArSJwBTLwSypofVQFOYu4bC3I122NvD3F1aQ7b3hFa6bPDo49GWMApObQJQ8V3AzUSo89Q7P+7Hv9eVirC5Tq3EuTNzccqkTKgHMjQQiIBJe6ibHgayE4xcGz3cDPXxxx+Pu+66Cxs3bsS0adMO0fw+5ZRT5Dw+hmEiBZU/Ne0DGvdJtchUdhUO6vcC614Ddn0lNc4gsqYCUy4EMicjnPQU5ibpz84LqJxkoNvg0VpgTymC25AitZwMItP6xz11wouuapZC+IcVJOLKIwqRGhfentuUJ1DVZBe118VpgYW6mSFoqK+55hrx/thjjx3yGSVDUMtLhmEGEf58Uiq7cjVKXnQYapJRu0tqlLF7qShnEuQcJnnQaeMQbmwU5m6yoarJKZz1LmFuajnpbILK2SoUxOxJ49p7Qgd3HWpbHHju291YsatWTFOby18fUYhZhfI1AumNFrtblJLlJBkxgkPdw9tQU8Y3wzBDBMqqrtop/d/rBKzZwYWcqc+0vUH6v8cLa1sVUNNGslnSPH28JE6y9hWp5aSf/LnAlPOBlNEIN53D3DaXG1ZDpzC36AndApWjqb0ndGAtJ7tDoe3PNpbhte/2weaSGmicOjkLv5qRC4M2vM0tOrS6FQqMJQGTBGNITTmY2GXwFiIyDDMwL5qyrKlPc7Pk/QkBk2CMtMcJfPDrDpUwGsleQP/Z1mkZpeZgghi1ZixcIBnopBFh//b8YW5KFqMwt16tRkqn0PPBntAmOBLHwGVKD9pAEzsqm0UDjV3VrWJ6VFocrj1yhCiFCjciq7vFIYRLqHEHaXYzQw821Awz3KBmFnV7gHqSAFUC1kyKewe/HTLCFCa3kUfdixyDMNIKoOhoyUAn5CESdA9zJxoPhrmVrlao7I3waYywJ4yUekKH0Eik1XGwgQadvUmnwsWzC3DMuDSRQR5OqNyLNMGdHg9yEw3ioSDcnjsTPdhQM8xworVWyuhurQKMSZIEaKhlV2SMpl8G/PeO3pfJngHMuVEKqUcAt7ddm7vh0DC3wtUGtegJrYcjvhBuapjRT0/o3ozktzuqxVh0fZsULVgwKgWXzilAgjEyyVvUYjPBZMCo9Dikxuk4q3uIw4aaYYYD1LO5YZ+U0EWlUFQXLYfCFxni5JGS8e/uVScWAsc/EtYyq0DC3FJPaGo5qWvvCZ0hxqNDocYOvPzZVqzb3yimM616URM9KSf0LlbBjIPXNNvF//MTTShIs3Bt9DAhaGWyN954A8ceeyzS0tLCd1QMw8gHJXs17AGaywFjAqCVceyUelGTOEpPoe/DroqIkabkLUoUo1Iohe9gmFvqCd0An4paTrb3hKaOViGWPb2/5gDeWa+Cy9coOk+dOS0HZ0zN7lp/HSZaHG402pxINGhAI+EjUk3QajjUPVwIWpnsqquuwpYtW8J3RAzDyIO/exOVXfmcgCUjYLGOfqH6543vAaufk7x1hVKEhBXwwadQQpFcLHnbYQ5zUzlUmQhze2A1aITRFD2hW6kntArOuKyAe0L3xsYDDfjH0l04IPpRKzAp2yq86Mz48HfQcHu8qG11Qq1SiCS1VLMG5ZukUlhm+BD0X+3MmTOxfv160eaSYZgYxd4EVG47mPRlSpZX8vPbR4Dy9dJ0ziyg+Ggovn5ITCrIiNPYdZiMCYW5G0m0pNEmxogNGhVSzDoovC6oKJOdPGBjOlxxOfD4W06GAO3jxeUl+HpblZiON2hwSrYdpx81Gip1+PXsaf/kSadbdMgXLSm1UWsjywxCwZNbbrkF+/fv71GZbOLEiXIeH8MwwUA6B02lQM1O0cdZoA9tPPYQfD7k1C6HetPrgKsVoFKm2dcCo0+Sdv3Tu1DWbIM3eRSUYfKmu4e5k0w6KOGC2lYlvHy3IVUy0PogS8261SUv3lyJl1fuEYaStnLc+HScPzMbNVu+C7s3K3pGtzhg1KkwLtMiul2FU3KUGYKG2t8p64YbbuiYRzeuCHuxMhnDRA8yzJQs1nQAoHIjShjDAXm2bW+AatlfMHXft9I0KYkd+RvAclBm1Dv9crR88ziM0y+XvTypI8xNoiXO9jC30gu1vQoKn0cYaGeHgQ7dqO2pacU/luzElgoadwcKk00izE3Z1dRisgbhg35DKULgcHuQlWBAXpIxpM5azNAjaENdUlISniNhGCb0WDAlilHmNYW8zSmSBKhc3a72rQKWPgKlrR5eqOCbdjFUU351yHi3L2savhn7R5yQlS3rqTXZ3SLMTXXDIsxtVEPtrIPC44LbkCw8aHofiIGmBhpvrd6HD9eXiexqvUaJ8w7Lw8kTMyOi8kX7pwcRq1GDUenxXHLFDMxQ89g0w8SYBCh50Q17JeNMjTTk8mZdbcCqfwJbPxGTvvg8LEu7DHMmz4WqSy9IhC3MXdXkQGWzXeSuJRnV0DgboGxzwGNIgjORDHTKgMvMfiipwzPLDjbQmF2YhCvmFSIlLvwqXxRmr21xincah85LMrFwCXMIIaWA7tq1C0888URH9vfYsWNx4403YsSI8MsCMgzT7mqSzjZJgJIymDlZGjOWi4pNwJI/AE3timUTzoR76mVo/ElKrAonFOYm77m0wQabg1pQqmH0NkNls8GtS4SN9LjJgx5gBjuNAz+7bDdW7ZYkVEk45NdHjMDMgkREAlI2o9rvJLMW+UkmJJu1nM3N9EjQd/rnn38uWllOnjwZc+bMEfNWrFiBcePG4ZNPPsGiRYswFKFsy74yLv2f9bZMf58PdqJ9fuHev1zbD3U7XdZzO4F6kgDdC6hUgDlD8qK7hbqp9rfze6/b7rycxwXluleg/OlNkb3tM6XCc8Sd8GVO6Xd7ge6vL5psblQ02VHf5oRBpUCKqg1Kuw1urRW2hEK4jWSgNVLZdhBtJztDoe1PN1bgjdX7YXd5RWj71EkZOHtalhAQobHonvDP7+3zYPZPYW61UoHCRCOyEvSirIx0KqJ5n8fUPR6GdVwBLBvJ3/FgtqHwUQZDEEyZMkUInvzxj3/sMp96VH/xxRdYu3YthgJPPfWUeFHbzu3btwuhF6MxeD1ghhksxNkOYOreZxBv2yum9yfMwU/Z58OtDl5mM1bZ0wy8s1uF0jZpeKAgzoezCjzIHDqnyAwS2tracO6556KxsREWi0VeQ63X67Fx40YUFxd3mU/GjEqz7HZJ4m6o0NTUBKvVivLyciQlJfX5dLR48WIRUdBoNEF/PtiJ9vmFe/9ybT/U7bgcNiz+6hssGqGFRumT6qL7GZslz3bxhjIsmpQJTR/lPS63G7u+fBnjy98Vtcg+nQWeOTfDVzA/qO0Fur/OkPNd1yq1oGxzuBCvcsDgs8GrMcNpzoLHFHxP6J6gMqvXvt+P//1cKZxxs06Fi2bl4egxKQFnqJMnvW/jd8idMAtKVXDBSLo2Na0OGNQq5CYakR5iyVU47/Oo3+MhrOcKYp1Alo3k7zjZluTk5IAMddCh75SUFCF40t1Q07zU1FQMVehLCeSL6W+5QLczWIn2+YV7/3JtP6jttNVJY9G0nsEEjSG4umgymr0azpZKqL55GBM6xEsOg2L+HVBTw45QthfA553D3CKbu80Jk7cN2apWeDVxcMYd7AlNJnQgqXHkhyzdXo0XVpSgob2BxsLRqaKBBpV4hQIZ6UANNe2f9mt3e5CZYEZBskmWkqtw3udRuccHuJ4miHUCWTYSv+PBrB+0ob7iiitw5ZVXYvfu3Tj88MM7xqj/9Kc/CSEUhmFkgsZCG/cDtTsBp1Oap5UpRkuBtB2LgRVPiraPbqUWitnXQjX2lLDrc9O4cGUTiZbYoXC0Ik3ZCujMcMSNllpOquWR5ixrsOGfS3dh/X5qwwlkxRtw7YIRmJAd/gYaHSVXrU7E6dWYkG5FWhxpkLP0JxM8QRvqe++9F3FxcfjLX/6Cu+++W8zLzMzE/fff30UEhWGYAWBvlNTFKOtabwEsiTKKlzQC3z4GlCwVk96UsViSfDHmj54OVRiNtD/MTdncjrYmJKAVGgOFuKkndGZIPaF7CzO/t+YA3l2zHy6PD1qVEmfNyMHpU7ICDskPBCq1oqx1ShrLSyLhEhOMWm5UyES4exYNgN98881obpbUe8hwMwwjUyMNvwSouw2wpEtlSLKJl3wPLP0TYKsDFCpg2sXwTDgHrevLEU78Ye76xgaYvc2wGExwxRWjzZQJr4zdvDbsbxBeND0MEFNy4nH1ghHIsIa/gQbR5nSLjPVEk1bURQsNcm6gwUSzexYbaIYJgwQohbspxN1JnlMWYZTv/gls+Viajs+TJEBTRsn3ENADDrcU5q6ua4DK3oBkowFeSxFs1HJS23cCTTCQcaQGGku2S005EowaIVoytyg5IoZSlFy1OkCR7aJUM3ISjdCpuQ0lE8XuWevWrWOFMoaRs5GGXwLU2SJJgKq0sm1eUbUZWPqw5KkT438JzLxCUjILEx3Z3HUNcDVVw2TQQ5lWCIdoORlaT+jewsyf/1yBf63ag1aHRySenTghA+fPyoNJF5lwc7PdhSa7C6lxeuFFkzfNMFHvnnXrrbfiwIED3D2LYQaKsw2o231QApQaacjlAXrdGF32HlTrP5X6R5tSgAV3AVnTEE5a7G7UNLagqa4cWo0G5tQCuONy4CIDLaN3W1LTgqe+2YVtldIQ3IgUE65dUITitMgMxdFYeHWLQ+iCj8mwiP7UkRgDZ4Yf3D2LYaLWSKNC8qJt9YA5VV4Pt34P1F//HqNqd0jTRYuAOTcAuvAZMUrcIvbs3S3Oz5iUA581Fw5dgqwGmrpnvfHDPny8oRReH0SjDvKgyZOORAMNqcuVEzanGxnxBuFFW7jLFRNGuHsWw0QDqotu2gdQPa41Wz5DRp7zpveBH54V3aWcKhOU82+Fumghwp0sdqBM0gVXmtOgScqHewA9oXvju921eGbZbqHTTcwpSsYVcwuQZA5/Aw0/5U12xBn1oswrzaKPyMMBM7wJylCTKsvChQvx6aefYsyYMeE7KoYZqrS2dzSmpDFLCimYyLdtatKx5I9AmSTj682eiW/iz8PCggkIZwON6sZW1JTvg0NJ56IC0ifAo5Z3nLaqyY5nv92N70vqxHSaRYerjhiB6fmRaaAhSq7aHw6yEw0YkWrlkismYqiDVVIZahKhDBMR/I00qndJ09ZMKqOQL4y+UxIvgbNV6qI162p4Rp4E+7r2BLIw0Op0o7yyBs0N1VBZc6BLKgQ2rx9QX+juuD1efLyhTIS6KYOcvFeqhz5reo5ooBHJkiuLTtrfqNQ4aLkumokgQf9SXHvttUKF7PnnnxflWgzDBCABSmPFzZWAjlSxnPIZMxIvWf44sHuJNJ06BjjyHimcHqayK0pSr2ppQ3X5fti8ShgyJ8JrzRHjxXKypbwJ/1iyE3tq28T0uEwLrp4/QgiIRAJ/lyv6qkakmJERp8FXmymaz6FuJrIEbWlXr16Nr776SnTKmjBhAkymrn80//73v+U8PoYZ3BKgDfuAul3S/ymj20c/8vXybH8/iZc8ArTVtouXXARMPnfAfZr73W1VDVrqKgBzGoxpo+HRJ0gfDLD9Y+dyp3+t2ivKrgiS4Lz08AIcNSY1YkaSMteb7E4kx+lEr2gaAx+qLWqZ2Cfov+j4+HicccYZ4Tkahhkq2BokjW6qj9ZbpW5XhBxeLomXfP80sPkjaTo+t128ZDTCBUXX69vHaOvramEgzz0xHx4ZOlsd3IcP32yrxosrStBok4ziojFpuOjw/JAbaASL6HLV4oBOrcSo9DhkJRi55IoZfIb6pZdeCs+RMMxQkQBtPCAli7nagLh2CVCZUFRtAZY9LO2DGH8GMPPKsIqXOD1elNc2obaS9mmBPmcKfHEZsmZ0H6hvwz+X7MJPpY1impS9rpk/AuOz5BNH6Q96OGhxuITcKJVcRerhgGH6I6RfENL8XrJkCXbt2iV0v0lKtKysTPTUNJvl0+1lmEGFo1nyohtLAZ0JsMooAUriJeXvQ7X+k4PiJfPvBLKnI5w0kkZ3RRlaW5qgTsgDyuvhNaUG3MO5P5xur2ieQU00KINcq1binBk5OG1yZBpoEA63R3jRZp1alFylc8kVM9gN9d69e3Hcccdh3759cDgcooE2GWpKMKPpp59+OjxHyjAxLQFaJjXSEBKgqYBKRm+sfi9U3/weo9p7UqPoaGDOjWEVLyGjWdXQgpqK/XArDdDnTIPbmAKUr5RtH+v21YsGGuWNUiXJtLwEXDV/hDCUkcDX3uXK5fUiN9EoktQiJTvKMMEQ9F154403Yvr06diwYQOSkg42l//FL34helUzzLCTAKUwN0mAUk20nF40ec4/fwB8/wyUHqckXnLELVAXH4Vw0kJlVxXVaG6sgTo+B7qUYni1cbIli9W3OvH88hIs2yE10CBt7CvnFeLwEUkRSxYjdbO6NgfijVqMSbYgNY67XDFDyFB/++23WLlyJbTaroIG+fn5KC0NX80mw8SkBCiFuu0NUihaznFiEi+hdpSla8SkN2s6vok/HwsLJyKcgYHK5lZUVxyAw6uE3l92JdMYO5U7/e/nCrxKDTScHtFp6qSJmTjvsNyIiYf4u1xR947CZDNyk4wRq8dmmFAJ+q/D6/XC4/EcMp+adHDbS2ZY4LIfbKRBRozaUcrpCe78SqqNpjA6ZVWTeMmok8MqXkLsraxBa105FHEZMKSNOlh2JQO7qltETfT2yhYxTa0gqYEGvUeKFocbjTYnks06kSyWZNJyTTQzNA31McccgyeeeALPPvusmKZQVUtLC+677z6ccMIJ4ThGhokdWquBhhKpdplKruSUALU3tYuXfCNNU7kVlV1R+VWYxEsoMOCXxmysr4ExfSx8CcGXXZGnuqm0EdtrFGgubcT47EShIkaqXq9/vw+f/lQmBFGMWhUunJWH48ZHpoGGX92sptUhktNGpUklV5S0xjBD1lD/5S9/wbHHHouxY8cKOVHK+t6xYweSk5Px5ptvhucoGSYWJECJsg0A/cjTWLSMUpnY/0O7eEmNtN2pFwJTzg+reAlJclbUdS67mgpvCGVXK3fVCB3u2ha6Ripgxxbhrc4fmYKl26tR2ypdu3nFybh8bmFE+zVLJVduZFj1QrjEauSSK2bwEfSvQHZ2tkgke/vtt8U7edOXXXYZzjvvPBgMMnoXDBNLEqCVW6X/68yAQcZwrdsOfEfiJR9K09YcSQI0NXziJURDmwvllWVoa26GJikPKAut7IqM9MP/bb82nSDj/O/2UD1lcZP059Q8+ULpgZR91bTaxdj3+CyLqI3mLldMNHE6naI6ihpbzZkzJ6h1Q3pcJ41vMsz0Ypghi8fVLgG6G3C1e9Rao3zbJ/GSb/4ANO6XpsedDhxG4iXhK09yeX2oqGtBXdV+eFQGGPKmwWVIAcqCL7uicDd50n1BvaKfPGdyxJLFpF7RLlEbnRVvFGPRVB/NMNHmwQcfxEMPPSQiz+vXrw9qXb6DGaYnbPVS2VVTGWCIB6i3MtrVwAaIwueGcu3LwPrX2sVLkoH5d4VdvKTZQd2uqtHSqezKM4Cyq81lje3h7t6xuTzYVdUihETCjd3lERnd8QatkP+kkisl94pmYoSbb74ZH330Ee6+++6gO1GyoWaY7hKgfi+awtKWDGmcWK5kroZ9mLf9QajaSqTpEUcBc28Kq3gJHXpte9mVi8qusibBY8kecNlVXZtL1uVChTx7Ei7xwsclV0zMQEZ57dq1eOCBB8R0YmKiGC4ORSuADTXDdM66pk5XDQcAfZzU7UpW8ZIPof7+aSR4nPBpzVDMvRkoCq94ib/sqq2+EkpzGvQyll0F6qwmhjGBq9XhRoPNhSSzFgVccsXECBs3bsRpp50m/k9KnrNnzxb/D1XQZ8gb6v379+OCCy5AVVWVGFu/9957ceaZZ0b7sJhYgpQ+mkol8RJnKxCXJq8EKJV0LSHxkh9JZwNVceORcOK90FjSEC6o7Kq2WSq7amqoEe0ofQkF8Ki0sowDL9lWhX8u2dnvsslmLcZmWsNSckUJa2qlAsWpZtHEg0uumFiBWkBfddVVSEhIwOTJkwe8vSFvqMk4U903XayKigpMmzZN1Ht376PNDFPIMNNYNCV0yS0B2oN4iWfmlVhlm4YTSMksjGVX5bWNqKuirGsL9NmhlV31RKsL+POXO7F8Z62YzrTqUdau1d0TV8wrlD3b2l9ylW6RhEtIBpRhosnmzZuFE/jiiy/CapUeTP/xj3/IJqgTkKGmp4JAd1hXV4dYIiMjQ7yI9PR0Ue9Nx8iGepjjlwClRhcU8jbLLAFK21zxBLDr6y7iJd64bGCtPElpPUEZz9TtytbaDE1i6GVXPbFufwMe36BCo6tWhL1/NTMXZ07LwfcltZ3qqA960mSkDx/R3odbpl7R1c0OGLQqjMuMEyVX6gh12GKYviJMZ599NjZt2oSsrCz89a9/FfPl1K0PyFCTRxouli1bhkcffRRr1qxBeXk5Pvjgg47Yvp+nnnpKLEMe8aRJk/C3v/0NM2fODHpftA+SP83JyZHxDJhBh8sG1LZLgKq17eIlMnp9B34ElvzxoHjJlAuAqRfIm5TWDZfHh4r6ZtRWHYBPZYQhN/Syq56yqf+1cg8+3VhOPz/IitfjlkWjMDJNSoAjY3xYQRI2HajD9i2bMHLM+A5lMrl+CKnu204lVwkG5CUZEadn4RImNiCDTDaJxMBuu+22sOwjIEN90UUXIVy0trYK43vppZfi9NNPP+RzEla55ZZbRPvMww47TDw0kDLatm3bkJqaKpahsDb1yO7OF198gcxMKSGIvOgLL7wQzz33XNjOhRkEXjSNF5MX3VYPmJPlrVmmLPHvn5E6XnWIl/wGSB2DcNJsd6OssgqtTbXQJORAmTywsqvO7KhsxmNfbseBepuYnpfuxfUnTYBB3zX6QEZ5QpYVcdU+5GdZZSuLEiVXLQ5YDBpMSLciLU7PJVdMVCGRr2uuuQbHH398h81asGCBeIWLAY1RUx0Yqa10xmKxBLUNOll69cZjjz0m2mdecsklYpoM9meffSbGAu666y4xr7/iceqTTV46LX/44Yf3uyy9/DQ1NYl3l8slXr3h/6y3Zfr7fLAT7fPrd/8kAVq/R/Kiycs1p0vvAXq4FHbt/N4dRfVWqJY+DEW7eIlnzKnwzvy19CDQaZ3+thPM/um/NU2tqK0qg9urhDZjArxxmVLZlccNb7uh9r/3Rk/LUcnT++tK8daPpeL/CUYNrp+fj6SGLdAofT1uM9D9BYKXhEtanWLfOQkG5CYYodeq4PG40UNPoGFxj4f7GOTadqjbCWU9VxDrBLJsIL/j//3vf/H666/jP//5DxYtWgS9PrSH/WDOU+GjuFKQHvCdd96Jd955B7W1UkJJZ3rqrBXwwSgUXULf9BBgNBrx3nvvdQmHk4ff0NAg6tT6g06P9MhHjRqF+++/v9/laRl/3Vtn3njjDXEsDNPlnvW5MbLiE4ys+AhKeGFXx2Nt3uWotoSvHWW4qbIBr+9UYU+L5BVPTvLirAIvTBxtZhiQXXrkkUeETRo/fnzIV6StrU3YpsbGxn4d3KA96jvuuAPffPMN/vnPf4qyJxo/pj7UzzzzDP74xz/K+jXW1NQIw5+W1rWMhaa3bj1UX7gnVqxYIcLnEydOxIcfSnrKr776qkif7wlSjaFQe2ePmsa0jzzySCQlJfX5dLR48WLxhEWqM8F+PtiJ9vn1uH+SAG08ANSVAD6PpACmDK33MHmyizeUYdGkTNGFSdC4H6qlj0BZLd2L3oIjoZpzI2boLMFtJ4j9Hz0hE012J6ory+FwOqFPKYQvPg++HsquyLPdt/E75E6YBaWq9z91/3I54w/D4m11eHH1XpE5btKqcOW8AswvThIP0f1tL9D99dkrusUBuizU4So7wQCtOnZ6RUf7Hg/3Mci17VC3E8p6riDWCWTZ7suQ/aFOkatXrxZRXP/nS5cuHfD190drAyHov6ZPPvkEr7zyiojHUzh63rx5KCoqQl5enggHxJr+99y5c0UP7UDR6XTi1R36UgL5YvpbLtDtDFaifX4d+2+tkcRLmisBYwKglaeRBhlXDY2/UhMNaqbhcUjbnnszlEVHQRnMdkLIWC6vb0RzTTkUxgSYsybBbUgRRrSvEWEymv0ZziYn8PvPd2HNvgYxPTHLihuPLkZqnD7o7QWyv0P2TyVXThdSrUbR5Sohgh22Bts9Hu5jkGvboW4nlPU0QawTyLL+ZUpKSnDrrbeKHCjKcfKPQ8txjYJZP2hDTUlZhYWF4v/krvvLscggXn311ZATKqVSqVSorKzsMp+mqdSKYQ7BZQfqd0nj0fBJ6mIhetE9Qg8Ayx8FDqyWprOmAfPvBMxSYmM4oMGp+jYpF6S+qhzGtAL4EovgVsvTrW7V7jr8bYMKre4GaFQKXDg7H6dMypSlpCugkqsWB/QaJcakW5AZzyVXTHTxdRoNHjlypGimQbbuqKOOGtDQ7kAI2lCTkaanjNzcXIwePVqMVVOpFHna8fHyCu9rtVohUPLVV191jFGTd0zT1113naz7YgY5/qhJ2TrA2QCYkgCNvDkFmfXfQf3vVwFnM0Ch5sOuAsadJm9f6l7KrkinGzDDkDMZXmu2LPtsc7rx3Le78eWWKlF2VZBkxK3HjEJeUvjFgETJlc0Fm9ONjHiDEC6xcMkVE2WWLl0qSqyoEqmgoEDM8yctE4PGUFO4m4TF58+fL07g5JNPxt///ncRu6cM7VBS3XfuPChFSA8BlMVNAub0MEDjxZQ8Nn36dPFAQOVZlNDmzwKPFJz13f/16fweUZwtcFVL7RZdTjtgzpTqouWqWXY0Q7HySczYI4mXeJNHwjP/N0B8LiB2Efh+gsn6bra5UV5VDVtLPVQUGbC1wGVMhVI8lPS/fl9Z2D+XNeGJr3ehqtkhwuZHZXpx5fGjodNqe83a7i+rO9Csbyq5qmtzivaTY9PN7V2uYr8igrO+h3bWt8/nE+piu3btEknFzz//vCzH2N/xhCXruzt79+4VQiI0Tk0JW8GyZMkSkajVHTLOL7/8svg/PQj4BU+oZpqUX6imOpxQkhy96Alq+/btnPU9TElp2oQp+56DwVUPL5TYnn6KePkUg1N91+0F/rNfia/LFPBBgUSdD+cXeTAiuKpKhhkS+NrNn19FjOwZlV+df/75MJvlyWuRI+t7wIZ6qEOZeaTdSqppnPUdQxmx1C+axqGbKgC9GS5NXEjZ1L3itkO5+jmoNkviJV5LFpanX47ph88b0Pb7y/qmcHR5TQNa6iqgiUuHMqUIXn18SBnV3dfZU9uGx7/aKd6Jo0en4LI5edCrEFR2eChZ33ReFOq2GjQizJ1s0soqsRgJOOt7aGV979u3DzfccIMQ0PLnV0WyeodsC+VhhaU8i06MvGd67wx5vRTCDqfcaDThrG95r1PIuB1A/T6gYY9UfpXQtV90qNnUXaByq2/+IPWlJsaeBs/0K1C/sVae7fdwnBTNrm2xo7KiFA6XE8aMMfAmFIiyK+UAM6opme6jnyrwyqq9cHt9sOjVuG5hMWYXJnUJVQe67WCyvqnkqqbFIULbxelWZJNwiSZ2Sq5CgbO+h0bW9+effy5ES3744QdcfvnlXXQyIlG9E9as7/fffx8ff/zxIfNJ8YvqqIeqoWaiDAV+WqqkTlekoU0lV1QXLSdeN7D+DWDNv6S6a2MSMP8OIOewsGl0E3YXdbtqQEN1GZTGBBgzpbIrOfTH6xzAcx9vwaYyqWZzRn4Crl9YjIQIdJxqtrvQZHchJU6HgmQzEmO45IoZHng6JYNRG0rS4yBvOtbFrII21KRG5m/j1Rly3UmghGHC0oqSREvIw6VSK9FEQ+ZM64b9wJI/AFVbpOnCBaI2Gnr5eyl3L7uqqCiHra1FEi9JHCFL2RWNaH2zrRpPb1DB7mkS5U+Xzy3EMWPTwh5ypvB+XYsNOiq5ypBKrmQZjmCYELHZbLjvvvuEB33iiSeKeUqlsqPTVawTtKGmsPf//ve/Q8qjaADeX189FOGs7/6vT+d3WfB6gJZKyUg7mqSSK9LO7iHTOlQNbbKWyq0fQ/nDM1C47fBpTfDMvhG+EUd1yRwPefvd8K9PY7a1TTY0UM9orRE6Ei/p0B8fmI42ebH/XFqClbtJ40CBUWkm3HxUMTKsevi8HqouD2nbgWZ9Vze1IT3ehNwko1Ry5fXARd/lIIezvgdv1ndFRYXoE9Hc3Cx6RVC1UijbGzRZ3ySjRkb69ttvx8KFC8U8qmumFl8U9qYGGkMBzvoe+uhd9Zi89wWkNf8kpqvNY7E27wrYtb1LxcY6W+oVeGOXEk0uBZQKH47P9uKoLB9Ugytvi2FkMYSaTuPAJH1tMplCapE8KLO+Sef797//PcrKysR0fn6+qDsjibWhBmd9B4Zs2ZCUINZUJmV0u22AKQVQ9b+9YDW0FSVLoFrxBBSOJpGw5Z1+BbzjftFrSD1Uje7OUCJXZX0rNuxtQKbBAX16seh2JZLh+qG/jGuHy4OXVu3Df3+WVPyy4/W46cgCaCo2Djibu7/laCy62eFGmlmN/Ru/Zz37MMJa3/1fDzJpb775Jn7zm9/g008/7WicEYrWd7Cfx0zWN0GD7/Sqrq6GwWAIe71ZLMBZ3/Jepx7prM9NY8NxwXu2/WZlO5qBFU8CO7+UppNHQnHkb6BKyEcgucihZn23ON0oq6pDU20FgHjo86aJZLhgt9RTxvV26hm9eDtKG6Se0SdPzMBFh+dDo/BhT4V82dzdl/NndNP1GJeVgFSzBvs3xkZWdDiJhfNjre/erwcZ6n//+9/CkXzyySc79Dh6WrY3Bn3Wd2dSUlIGsjrDSLhsQP3eTvrc7SVXoUCZ4a5eutJQohhldNvqJM958nnA1AsD8thDhcquqpttqKosg8vlhC5tFLC/UtRGDzS9yu3x4t01B/DW6n3w+oAkkxY3HlWMKbkJsvWF7o1WB9VFO5Fm0aMw2QyrURPzymLM0MXtdgsDTbLTlCxJQ5ezZs0SDTWGAgH9Gk6dOlWMQyckJGDKlCl9Zo2uXbtWzuNjhjJkxShZrHanJGBC5VDa0MsklF4X1B/fKG2rLyjcvPAeIG0cwonN5UFZTSOaakqhMiXBkDkJTm2CMNQDpbTehse+3IbtlS1i+ojiZFw9vwhmffgV06qb7VCq1RiZFoecRCNndDNRZffu3ZgzZ47I5qYGGkR2drZoWTxUCOiv+tRTT+1o/ehvjsEwA4JC0JTN3bhfanAhQ8mVV6GGz5QKhY1aNfaSeqGPB854fkAPBP1BWR+kZV1RXga7jcquRhwsuxqgl0tew382luOFFSVwUs9onUoY6Pkjwx/dIo1uIs6gQVGaFUnmQ9vBMkykqaiowLp161BaWoo777xzSA7FBmSoqf6sp/8PJ7g8q//r0/m9V8hQtVQAtSWAq7W95EoXdHOLHsueFAo4p1wM/eLen6Td8++GT6UPWsAk0PIsMp6VDa2i7Eohyq4mdym7CqbMqjO0fKMT+N1nW7B2vxTan5hlwQ0LRyDFrOtxe3KVXdHDQX2rEy639PnoVCOMOuUh33UslC+Fk1g4v3Aew2Aqz2pqahIJWLTs7Nmz8fDDDwt9bnIoB1JaNWTKs4YLXJ41SPH5cOSWuxHnKBNdofx4oUCjIR/LRt0vi+JXpFlfq8Dbu5VocyugVvhwcp4XR6T7oBx8p8IwIdPc3Cy6Wu3YsUOUA9OY9GAlrOVZNE7d0xg1zdPr9UIQ5eKLL454G8pwweVZgdFn2YLbKSl/Ne6Tyq/MyaEni/W2f48X36zdhWNc/4N6ywddjHTHYRz7J/iyZ4S8/d7Ks1xeH6ob21BbVQafQgVdShE8vZRdBdtcg5K2nlu+B99sl1T/CpOMuPnoIuQm9h+6H2jZVUObE3a3RyiL5SeaoFJ4I1a6EovEwvkN9/KshoYG0Su6srISH3zwAY4++uiQm3IM6fKs3/72t6KG+vjjj+8oHCdRc1Iru/baa0U/aSrdoiy8oSJ+QnB5VgjXiZ4BW6slfW56J31ubXjGUhV7V2DhlsehcZEaFwCdRfSpho9C4koguRjq3JkD9qa7l2dR/XBZdR3a6iqgtWZAmTISHn1CvxndgZRCbSxtxONfbkd1s0N4zkdTz+gTx4ue0cEQbNkVPZTQPk06NSZmxiMtTg+lUtERqotE6UosEwvnN5zKs2pqaoRB81ca/etf/0J8fDxmzJgR8D057Mqzli9fjoceekgImnfmmWeewRdffCGadlBfatJQHUqGmglFn3tPuz63Mjz63P7a65V/hbpkmbiZfXEZUMy7VTLQ/71DWob+P/0yWUPeno6yq1J43C7oM8bCE58PDyXGDRAylK9+txcfrisVKXHpFj1uWjgChsoNYc+wbrJJ4iWZ8XoUpphh1g3OvtvM0ODRRx8VeVEkUT1//nwxj7zZ4UbQf/XUGozCDd056qijxGfECSecIFLmmWFactV4ADjwI1C/GzDGA+ZU+Y00Gd/NHwHvXASULINPocSO1BPhPv0FIHs6QCHulFHSsvQeYsi7J2xOD0oqa1G2byegNkKfOwPuxGKhcDZQSmpaccs76/FBu5GmJhpPnjMZYzLiEG4qm2xw+7wYlxmHcZlWNtJM1Nm1a5doqPHGG29gOBP043JiYiI++eQT3HzzzV3m0zz6jGhtbUVcXPh/WJgYpGoT0FIOaAyAhbzoMGQ7UVnXt38BKjdJ0ylj4J5zCzbv1SGfmnYQtN8ZVwAr/ya9y3QctS1O1FRXwGmXyq68MnW7IpWvj9aXCk+apEatBg2uX1iEwwq69owOBzQOTlC5VVFavBAvYZhoQEaZxmz9oW5qnTx37lycd955w/oLCdpQ33vvvWIMmgTO/WPUq1evFu3DqDsJQYPt/jDFUIHLs/rA44Krbr90nRpKgTjS59ZCyGX1Vs8cCm4nlBteg/Knt6DwuuHTGOCddhm8Y06Fy6cA9pZ1LZ/KmAqc8VL7MQ6s61VbuzE7sHcX1DoTtJmT4eqj21UwpVCVTXY8+fUu/FzeLKZn5ifg2vmFiDdqDlk+GIPdb7crnw+1zQ4oINVHF6cYYdCEXpoSC+VL4SQWzm8ol2d9+eWXuOGGG4RwybPPPivmURONs88+W+Q8DXRfw648a8WKFfj73/+Obdu2ielRo0bh+uuvx+GHH46hApdnxRbJzZsxaf9LMDskVa9y6xT8lH3hoO50RX95q6sVeG+PEg6PAjqlD6cXeHFYim8wVpAxzIDYvHmzaKSRlpYmSq+oj8RQpi3c3bOGE1ye1QsuB9CwV0oWgw8ufQIWb6waUHepHrE3QvXD01DukPIffMYkeGZfD1/evC7hbDm6W3XH5fGhqrEVddXl8ECFslYtcsdNh1LTHl4PAX8pVHzxNDz97X6sKpGy1Mekx+Gmo0aIxLG+1gu0rKu3dfziJRReJ/nPnEQDFL6+y66iUboSi8TC+Q2l8iy6F/fu3Su6L/rXe+CBB3DbbbeJrG65j9k1nMqzCI/Hgw8//BBbtmwR0+PGjcMpp5wClSqQ/kODEy7P6kGf294AGBMlOc720HKo3aUOgZ4fdy4GVj0ljDWoMnrsqVDMvBxqbe8SgXLtv9nuRml1LdrqK6GNz4AvYQSwdZMw0oEayt74uV6Bd97djAabCyqlAufNzMXpU7PF/+UqteppHYfbg5oWF+KNOhSmmISiGekfBFviwuVZXJ4VCH3dJ1QHfc455wgbQi/S5yAoKktGOlgjqOHyrK7s3LlTZHWTriqFvAmSb8vJycFnn32GESNGBHWBmcGmz71HEi6hMWhLZnhKrqgf9bePAaU/StMJ+cARt4e9iQZBzxtVTTZUU9mVxw1De9mVd8C9riSt7Be+3Y3/baUHWpfwaG9dNBIjUsKvTVxP4iUuD3KTDChIMsOgHboP1UzsQ8aYNLrJq6Qcp2OOOSbahxTTBO0a0GA/GePvvvuuI8u7trZW6KzSZ2SsmSEGJSM1l0nCJVQfbUqW9LnlxusGfnpHakXpcUjtJ6deBEw8O6ytKP20OT0oq21AU005NOZE6FNGwm1IkULsA8y63lbRjL8s3obyRruYPnliOi46vAA6dfgNZnmjDWajHhOyrR3iJQwTjTHoMWPGiCgOaXK/+eabsFqtKCgo4C9DbkO9dOnSLkaaSEpKEmn01GqMGWK01QF1u4GmckBnloRLwgH1il72Z6BulzSdORWYdwtgzUYkovm1bQ5UVJTDZWuFPqVQtrIr6hn99o/78c6P+zt6Rp+dZ8Oxc/KhDPNQEYmXEOlWPYrS47kumokaNO782GOP4a233sJZZ50l5k2ePJm/kXAZanoSImH07rS0tAxqgXQGh+pz11Oy2B5Jn9uSLrs+t8DZBqx+Hvj5A6mUi6Q/Z18DFB8bkeYZDrcXZXVNotuVSmeCMW8aXKb2sqsBsr++DY8t3o6dVVLP6AUjU3DF3DzUbPkO4YRqsqtb7NAopLyB0ekW6FlhjIkipKtByWMkN+031EzgBP3Le9JJJ+HKK6/ECy+80FFH/f333wtJUUooYwY5PelzU6g7HOxZAax4QtoPUXwMMOsawBBYxudAT5OSucqqquBoqoU+KQ++pCK4tAMX6qEfpM82luOlFXvg9Eg9o69dUIR5xSkiE1tqrxE+8ZIGm1Nkj+ck6LB8OwJKUmMYOamrq0NZWRny8vLE9F133YUFCxYMOX2NmDXUpOF90UUXiR6g/sw8KkYnI/3kk0+G4xiZSEHeLal++fW5KVlMqQqPPveKvwJ7lknT1GmKwtwk/RkBqOyqoqEFNZVlUKhUMGZPhsuSLUvEoLbFgSe/2oF1+xvE9OSceNx0VLFQ/Qq3F037pq9tVFocsqm7llcSMmGYSPLpp5/iuuuuE4aZ/u8fk2YjHTrqULL1PvroI9EPdOvWrWIeJQhQe8uhzJBWJvOXXNFYNJVCmZIkCVBf4IpefkWwLspg3fF5odz6CZSrn4fC1Sr0ub0TzoZ3ygUASX8OQD0soP1T2ZXNjfLaOtgaqqG1pkGRVASHPr79XHtPGAtEGWzFrlr8Y+lutDg80KoUuGh2Hk4YnwalQjEghbH+1iPt8XqbE4kmLQqSTUgwkiqcJ+B7Tq7lYvoel4FYOL/BoExGXrTT6RRZ3dT5Kpia6GD372JlsuENK5PJS5ztACbvfxGJrTvFdL2xEOtzL0WTIReDnTY38F6JEmtqpHHtHJMP5xd5kN5/y2iGGfSQsaT2xiNHjuyYt337dlEdNJS1NWJOmeyWW24JeOeU2TeUGLLKZJQgRvXK9XsAt00ahx5A96delcHcDijXt+tz+zySPvf0y+EdfYqsYfW+lMnanORFN6GlrhxaUxKUySPgMSQHlazWmzLYTwca8cTXu1Db6hQ9o385NQtnT8uCuhfRlVAUxnpaj8RLqEEINdDITzYh2aQVIcZQ7jm5lou5e1xmYuH8Yk2ZjH4XjzvuOOzbtw8bNmxAbm5uyMcYynouViY7yLp16wK6aN1/KIYSQ0q1qbUWqNsJNFcCeisQJ59edhdlsNK1UperplJpOm8OFHNuhMqcinA9Z3fevyi7am0vu3K0wpQ6Ap7EEfCpDSHLl/hVvpxuL15ZtQcfbSgT8zOsetxy9EiMzrAEtZ1gUShVaHR4RbZ6fmocCpLN0GtUEbl3B9U9HkZi4fzCeQzBbDs7O1s4MKSlsX///i6CV6EeYyjraViZDKJTFjMEcNklD5o0un0ewJIRnpIrkhb97p/AdkmfG8ZkYM6NQME8RAqSAK1oaEZLTZnodmXMla/sand1C/6yeDv21bWJ6WPHpeOyOQURUfuqaLbDbNBjfJZVZHYP5YdjJjb54osvcNRRR4mwtlKpxGuvvSbKrzprazDyEoZfaSbmoNGN5gpJn9tWDxiTJH3uMOxHQfrc3/+jiz43Zl4O9KHPLSd2pwelrTbU11ZC4WqDPjEH3kR5yq5IsOT9daV444cDoqlFvOgZXYyZBeH/gWr0i5dY9ChOj4eJ66KZKHDJJZfg5ZdfFt2tbrzxRjHPX4LFhA821EMdR4tUcuXX5yZlsbDoc5di9q5HoW7eJE0nFABH3BYRfW6C6pWJHWW1QFsNDKZ4KDLGwGUkoZaBe7oVTXb87WcVdjdLfbdnFSbiuiOLYaUGzmGExUuYWGLWrFnCgyaBKyZysKEeqlANLY0Nk3AJGWtzSlj1udVrXkaqxwmfSgPF1IuBSWeHJ6zeDbLPdW0OlNW1immNqxG69CK4LHnwakwD3j7lWn65pRLPfrsbdpcCBo0KVx5RiKNGp4Y97NzicKORxUuYKPLzzz+L+3zs2LFi+oorrhD10f6GTExkYEM9FKHwdu1uoLkc0JqA+DDpZVdtBpb9Rehzk8mqNo9F/PF3Q5OQg0gpi1U22dHUWA+9m2Rt46DImASHOUMW+dGGNif+/s1OfN/eM7owzoe7TpmAjARzRMRLSFFsdHocshOM8LF4CRNh3n33XZx33nlCk3vVqlUdY9JspCMPG+qhps9NqmL1JVL5VVxamPS5W9v1uT/s0Od2H3YNVjaNwQmWMDXt6ESzw43qJjuqG23QOWuRqNfBmTQKKCmDx5gqBEYGyg8ltfjb1zvFw4BaqcC5M7MxBSVIs+gRTki8hBqEUK/owhSzEDEhXGyomQgzd+5cGI1GpKeni/4OgQqXMPLDhnoo6nOTVnbY9LmXt+tztytWU/OM2VfDp7EAaw8gnNhdXlQ321HZ7IDP1ogklR1IzIDTkg+XhpLFpFKpgRrKF5bvxuebK8V0bnvP6PxEPfasL0G4oBA71WJ7fD4UpZiRm2SMSAtMhvHT0NAgOiOecMIJYjojIwPr168XyWJcXRBd2FAPdglRp03qctW4X9LnNrUnTw1AjrNHWquhWvU3KPcuF5O+uEx45twMX9a0oCQ8Q8Hl9aGuxYGqJgds9jbE+5qh05vgiBsLt1nq6hWqNGdntlQ044mvdqKiySFC+adMysD5M3OgVStl2X7n9Ttvp0fxEp8XLpc3IvKKLCEq7/UcjMdQWVmJ6dOno7q6GqeeeiqmTZP+rrOyskQvh0gcI0uIDlCZbDjCEqLt+LzIr/kaY8vegcZrhxcq7Ew7AdvST4VXOTTamrq9wOcHlFhcqoAPCsRrSQLUi2Ir/2kww4c//elPQmHspptuQnFxcbQPZ8jTJreE6HAmJiVEHU2ScElTuZTJbUgIT+/mut1QLX8MyurNYtKbMgaeubcAiQfVhwKR8AwFap5BIe66Vge0Pgfi0QyfzirC3B5jyiElZqFKc+6vt+HxL3diV42UNb5gZDKumJsPc7c65VC33x3/djLGzkSd3QOTVi3UxVLjDpUAjZS8IkuIDj8JUY/Hg3/9618455xzxDi036v2h74Hsm2WEA3ctiQnJwdkqDn0HSAxIa9ICWKNB6QuV6TPbUkZkD53r7gdwNpXgQ1vSgpmGiMw8woox5wCZT81yV0kREOgzekRmdw1LQ54PR6kKpqgVivhMhfBacmFT63vU/4zUGlOr8+HT38qx79WSj2j43RqXHNkEeYWJYdF+rM7tTYPcpJIAtQUlHhJOOUVY+IeHwTEwvkN9BjIQP/73//Gnj178PDDD4t5aWlpHduV4/xYQrRvgrnGbKgHC931ucOVXV26Bvj2sYP63PnzgMOvB8ypCCdkLGuaHWJ82O5yI17lhFHRDI8hBTZLATz6RNmiBjXtPaPXt/eMnpITjxsj0DPa7fGiqskm/j82w4LspDhRgsUwkebCCy/El19+iYKCAr74gwA21INCn3sv0LAn/Prcq/4J7IisPjdJcda3OlHRaBdlV2a1F5mKBviUOjisY+CMywKUmpBqkTeXNaKuzYVEowZjM63CKC7bXo1/LN2JVuoZrVbi0sPzccKEjIiJl6SadSBts8x4AxtpJmJQvwa1Wo1586S/Z0oY2717d5/DeUzswIY6VqHUgZZKSZ+7rS6s+tzYsRhY9Xdp7JvyncedBswgfe6BK3v1tVuqUSYDXd/mgF6lQpq6DSqPHS5jGpzWAnh11pC2vXJXjVASo0xqP1SPTDrZm8vpHIHiVDNuWTRSiImEE3pgIA9e3S5ekmbWYP9PYd0lw3Th9ddfx/nnn4/CwkJs3LixY0yajfTggQ11TOtz7wdUmvDpc9N49/LHpHaUEdTnJs+5stEuDCn5sUlaH3TOani1cbAnTBCGOlR97lW76/DHz7cfMr+u1SletL9zZuTgrOk5vfaMlgvqg13f5kKyWYsRKWYkmLRRLe1hhicnn3wycnJyRN9oL/V+ZQYdbKiHqz73hreBtf8CPE4pIW3aRcDE8OpzdxYsoSxxq04Fg7sBcLvhtOSJl48S1wbQ3eq55Xv6XIaaaJw9IzesYWdKVKvrEC8xITfJJMLsDBMJ9u7di48++gg33HCDmKaMYtLsplaUzOCEDfVw0+eu/Bn4lvS5d0vTWVMBKrmyhml/onSLVLccKG+0w+Z0I06vQYLaCZW9ViSJOa35cBuo5GpgxnNXk0Koe/UFhdtp7HpCdnjkEO0ujzjXeKPkRafEhTdBjWE6Q4IlEyZMEJKf48aNE32jCTbSgxs21LGgz00hbjKc5N1GUJ8bs68DiheFpwabPEsvUG9zorzRhiabCwaNGilGNdT2apEg5kgohisuGz6VPMasKcCoMiWYyQ3JETS0ueDweJCXZBS10XoNS4AykSUlJUVkdP/000/Izg7fwzcTWdhQDwt97m+BFU8eos8NfXzYTq3Z7hY9nMm71CiVSDLpoXY1Qm1rlZLFRMmVfPtvtLmwriawBw7KApcTCuNXt9hh1mkwIT0eaRYdayMzEVO3+uMf/4gbb7yxIznsz3/+M7Rareh0xQwN2FBHA2eblCxGna7oj8mSGXLyVJ/QA8CKv0qGmqD9zLsVaNfnDlv3p1YbqlscpD6KeIMWGrigbiuHV22ALWk8XEKPXJ5bz+n24tOfyvD2j/vR5uz/h4kSu6hUS84HhFaHC1kJxqDFSxhmoJBwySeffIL9+/fjpZdeEvP0+vB2eGMiD/+qRBqS/WzcI9UtkwetMYQnKW3Lx8APzwGuNkChAib9Cph6QXiS09oNJrGtsllKFDNooVUBKnsdlF4nXOYsIf/p1ZplCzUv31mDl1fuQVWzQ8zLNvkwd0w23vqxXaylB66YVyhLIhmJl9DDCIW3x2VZkWHlumgm8tx9993YsGEDTj/9dL78Qxg21JHCL6le8ROg00vJW2HS58ayR4GqLdJ06lip5CqxMKyCJWX1kuKWRqFEPOlWu9qgaamHWxcPW+IYuI2pspWYba1owgvLS7C1ormjRvqCmTnIt21D4ZQcFKTEHVJHTZ40GenDRwx8eKHF7kaTw4l0iwEFKSZY9ENXLpOJHejh9LXXXsPWrVs7WlHOnj0bO3fujLqkKRNe2FBHqs2l0y69q0xSIhfVElFSl1y4HVCufxXKn96GwucRZU7e6VfAO/qksLS9pOcOCvuSLje9k4EmNCofFC1VpIqNVksB3OZsoc8tMsswsGOgfb3y/X4s31krpnVqJU6fkonTJmVAq/Rh30ap6cWs/HjMyJ0ixE2ojjmBlMkyLMKTDrVNpX+9qsZWqFVqFCUZhboYtYwOR+tJOdbjNpdDq80lCZdceumloknQddddh/T09EOOLRbOLxbv8UCXjWS74mC2wd2zhkCby5SmTZi4/2WYnWQggTLrdGzMPh92bSKGAjY3sLhUiaXlCrh9ClAzypkpPpyY64V1aHTaZJiAftgp1D1r1iycdtppQhKUGbxwm8tYbHPpsGHxV99g0Zh4aAzyjNPC1gDVD/+EcudiMekzJsMz+wb48uciXDXCJIdZ3eSEy+sVIV+NWgmFxwVFWy22NOhQmJ8Dr0iO08giv/n55kq8ufoAmuySRzsxy4JLDs9DYbIpLG0oexIvodC+2+OGrWQdFiw8Gka9dki1AOQ2l+H7DgbC2rVr8eabb+KRRx7pqCKw2+34+uuvw3IMcp1fLN7jgS4byXbF3OYyDAy4BSC1qBShYcXA+zULfe4vgFVPddHnVsy4HOow6HOTYAkZ6Aq/YIlBgwSNVhyHytEApdsOuzkdaKiHNz5vwIaSxuJ+3FuPl1aUiH7RRHaCAZfOKcD0vIQ+S5/kakN5ULzEiXijDnkJVvxQAmGkh2oLQG5zGb7vIFjq6uqwcOFC4XXNnDkT5557bsSOgdtcIiKtXLnN5VCmuz43JYlRshgljckMDWs3dBcsidOL5wKF2w6NrRYerRW2lJFw6pKAAysHvM+Smha8uGJPRwtKi16Nc2fm4thx6WHX5u78oEBj29R6Mz/JhPxkE1QDHF9nmGBITEzEb37zGyH96VcXY4YvPMgxWIigPjc57BRqruwmWCL0E3weqKmbl88Lh7VA0udWG4AQk7T8kDb2a9/txZdbKkWKHXWbOmVSJs6cngNzBGuTqbSsqtkuZE5HpVs7xEtcLjbUTPioqqrCXXfdhXvvvbejRzQZ6nC3X2UGB2yoBwOkz73sz0B9iTRNgiXzbgEsWbLvqtXpRlWTHdUtzg7BErVK+rFQOlugcjS163MXwG1IHnCJGYWXP1hXin+vOyCadhDzipNx4ex80ZYykvjFS6j1JYuXMJHkqquuwgcffIDKykp89tlnYh4bacYPG+pYhvS5SbRk80dSKZfeCsy+FiiSX5/b4faiptmBimY7nG4PLHrtwY5PXjc0thr4SJ87cSRcVHJFHv0Ak7SWbKvCK6v2djTSGJUWh8vnFmB0hgWRpLN4yfjseGRYKHrAngwTOUgGlBJW77//fr7szCGwoY5VStr1udva9blHHgvMkl+fmwRLKOxc0WhDi8MNs1YDi/lgkoTK0Qilq03S57bmw6sb+P43HmjACytKsKu6VUynxulw8eH5mFuUHHEvgsVLmEhDmcN/+ctfYDKZcP3114t5I0eOxMqVK9mLZnqEDXWsQWIhK0mfe7k0TeFtCnPLrM9N+iONdpcw0JQ4Rd5killKFCMUHgfUtlp41SbYk8bBZcoYsB55ab0NL60swfcldWLaqFXhrOk5OHliZsT7NVPpF2WyU1h/dLoFWUK8hJsYMOGHQtxUD026DCT9mZUlDWFxqJvpDTbUsQLpc1OIm1pR+vW5J/8KmCK/Pndze6JYTYsTKoUCSSadlChG+LxCn1vhdcMZlwMX6XNrBlbyRRnjb63eh/9sqhAGkqLKx43PENncVkPkpQ/bnG7xcJISp0VhshkJJlZNYSLHmWeeiXfffRennHIKMjMz+dIz/cKGOhagVpff/vmgPnfaOKnLlcz63DaXB9XNDlQ1OYRgSbxeC7X6YKiZ9LnV9np49Akio9ttIH1uxYAyqD/7qRxv/bgPrQ6PmEd10FQPnZMYeZU3Ghcn/W+fwoeiVBNyE00R9+SZ4Qclhz3//PPCOJOaGHnO9H+GCRQ21OGuefb3gHbaYW3bA9TWAvp2D1VjBLb9Ryq78nkA8lwPuxIYc7JsDSx6Eyyxdi7W93pEmJv26UgolpLFSJ97AHXIK3fVis5W1JOayE8y4rK5hZicE54e2IGJlzgQb9SiKNWMZHN4uogxTGcaGxtxwQUXoL6+Hs899xyuvvpqvkBM0LChDhduB/DskUCrpL9NZnEB/Wdbp2XIGFMNFJF/BDDnesCUIqtgSX2bJFjSbO8qWOJH6WyCytEiultRshiVXg2E7ZUteGnVPtEQg6CGGBfMysPC0WmytJeUQ7yExuMZJhKQ/PBjjz0mhEsuvPBCvuhMSLChDhdUvmTNaveoexHLICNtTALm3gzIqM/dubNVXZtTCJYkm/Vdotikz622VcOnNsKeNEb0ix6IcAqF1F/ZocSaVZvENIWUT5+ShdOnZMNAjamjAPXIrm6xC03y0RlWkV3OCTtMOKEGPtdcc43Q5546daqYd/HFF/NFZwYEG+pwQVZx4f8Br53R+zJ5c4AjfwPIqM9NgiVkoKubncJx7ixYIujQ53aIEDcpi3m1cQNKzHpvzQF8uL4ULo9S7PPI0anCi45WeJkS1ijMTQ8sJF5SmGKCUcu3OhN+HnzwQXz11Ve46aabsGzZMr7kjCzwr1c4GXEUkDkFKN9wMMTtJz4POOYh2YRLSLCEksRI/tLh9sBq6CRY0o6kz10Ht84CW8ooEe4OdSycjOEXmyvwxvf70GCTGo4UWby45phJKE63Ilo0tDph9ymQbNaKZDF6Zy+aCffwiv8e+/Of/wyn0ykETBhGLthQR8urJoUxGYy0yyu1YSxvsAlv2qzTwNK95MnXnizmAxzWQjgtuQNKFluztx4vrijBvro2MZ1p1ePi2blIbdiMghT5u3cFAo3BE9R2szjVIsLcXBfNhBNqU0j10CRcQqFuIi0tDW+//TZfeEZW2FBHyKv2lW+AwueFT6GEIrkYyJ4xYMGSBrsTFQ124dEaugmW+BH63M5GePTJouTKo08K+QFhT02rMNDr2jtbxenUOGdmLo4fny66S+1Zj4hjc3pQ1+aAoX0YfFKOFSZDZDXCmeEJKYn94x//gEqlwrXXXou8vLxoHxIzRGFDHSGvWtHuVZOxxvTLBuRNk2AJlT3V9iRY4sfrEm0oSZPbkUDJYpkh63OTx/7693uxeEslvD6ps9VJEzNxNnW20ku3kJdSzCMI1WjTODRlklM2d4ZFgyXbKYmNM7qZ8OGlJ+R2jjvuONxxxx045phj2EgzYYUNdRD6vPTq6/PO713IPQLKtElQVW6AJ7EI3oxpUu1UCLXAlF1NLxojtrQLlvjgO7g5ShZzkj63DXZjGlyULKZrb3IRZCtKGvf+eEM53ltX2tHZ6vDCRFw4KxcZVslr9bZvs/t7uKDzpgcHj8+LVIse2QkGMR7f5/WXAbm2H+p2Qlkv0HXkWi7c30G0DfSzzz6Lxx9/HHPnzkV8vKQH8NBDD0X0nMN5jYfyPR7ospG8x4PZhsJHmRDMITz11FPi5fF4RMnFG2+8IbR5QyWlaRPGH3gNm7LPR7VlfExfcfKa19Qo8Ok+JRqckuefa/LhtHwPRkS2sRXDxAR2u1000Kiursall14q5D8ZZiC0tbXh3HPPFaI4FkvfP6xsqANIGCHRAmpBl5SU1OfT0eLFi7Fo0SJoOqt++T932LD4q2+waEw8NAZzQF8keckNbU5RbtXscMGoVsPYHmrugs8rpD9JYcxlzoArLg8+jQGh8HNZE15cuRc72ztbpZi1uOCwXMwrToKyj3A9edL7Nn6H3AmzoFSpw9DhyiXGxHOTpExuTbcGGv1d/4Ei1/ZD3U4o6wW6jlzLhfs7iDRut1tIfnaWAv3000+FV63XRycPIpzXeCjf44EuG8l7nGxLcnJyQIaaQ98BQl9KIF9Mr8t52rOSVYpDjEyfgiWtDmjVaqTGGXoc1qYWlCqhz50klMXchhRRKhLsCHhZg01Ifq7aXSumKTntzGnZOGVyJnRBjPuSkZbLUFOonxLFSElsVEY8MuMN/aqKBfo9hYpc2w91O6GsN+B7N8jlwv0dRILly5fjyiuvFEb52GOPFfNOPPFE8bdFRjra5xfOazyU7/FAl43EPR7M+myoY4wWpxtVjZJgCZFg1EHVWbDEj9ctlVwpVZI+d1wOfCpdSN4qdbb6bGO56E1NKp/HjE3HuYflIsEYna5SlChGPbKpxDs30ShES+L0g/uHnxlcvP/++9iyZQvuv/9+kSzGtfhMNGFDHSN0Fiwh6Uuqhe6ts5PS0Qi1swUuUzqcFtLnTgjJGP53Uzne/GE/WhxSAtjUXOpslY+8pOjUQlOiGIX6SZc7zaIXHbZIK5x/JJlwQ6k6JFSi0+k6FMYo7P2b3/yG7z8m6rChjjIkWFLX4kB5o13IcfYoWNKOwuOE2lYDr9oIW/J4uEwZQetz0w/SdyV1eGlFidgnkZdoFK0np+YFb/DlgI6pye5Gi8OFJLMOYxKNSDFTyVnkm3gww48DBw7guuuug9lsxmuvvSbm0f8fffTRaB8awwjYUEcJIVhio85WdjTZndCr1T0KlhzU567vpM+dD682sIS0zuysasHzy3eLhDEi3qDB+bPycPSY6HS2IlodbnEdKLQ9LtOKdKu+3zF8hpETShT9+OOPhQf9u9/9DoWF8vaBZ5iBwoY6ChwULCHBDiUSjfpDBUvaUbht7frcVthSRoekz011169+twffbKsW01qVEqdNycIZU7Oi1qxCJIq1OqHXKEV/6Kx4Y9S6bDHDszTGX245Y8YM/O1vf8P8+fPZSDMxCRvqCHOg3oYap0uMx1q7d7bqSZ8bCjisI0LS5yZ5zffXHsAH60rFuC+xYFQKLpyVj5S46HS2cgtFMaeIHOQkGpCdaBRtKBkmEjgcDiFS8vzzz+Onn35CSorU/50kQBkmVmFDHSHIMBPkScfFxUOn6d0rlvS5m0SplUgWMyQFva8vt1QK2c/6NqksbFymBZfNKUBxWugtLQeC1ycpitEDAzXMoESxRBN3tmIii1KpxCeffIKKigq8/vrroh0lw8Q6bKgjRLudhlmj6t1Ikz53Wy18ah3spM8dlwkog/M21+2TOlvtqZU6W5HU58WH52N2YVJUslc7J4rFG7UYnWQR3ny0xsSZ4YdfUILuf6pdJW963759OP3006N9aAwTEGyoYwGRLNYApdsuMrlJuMSrDU6rk1pOkoGmFpSEmTpbzcjBCRMyopacRVns5EVT446xGRakWw29lpwxTLjqoSmsTW0oL7zwQjFv+vTp4sUwgwU21FFG4bZDbauDVxsHe/IEuIxpQsQkUKju+I0f9uHznyuE106e6okTMoSRjpZIiMPtEePQOpUSIyhRLMEQtaQ1Znizc+dOVFZW4rnnnsMFF1zANdHMoIR/PaMF6XNTspjPC6clT7x8msCbfpAoykcbSvHujwdgc3nEPApvU5ibpDajRXWTHVCpkRVvEOPQ1l5qwhkmHFATHQp1JyYmiulbbrkFJpMJV1xxBRtpZtDChjoKKF2tUNkb4dEnwmktgNuQHHB/ahrzXbajBq+s2oOqZoeYV5RixqVzCzAhy4poJooR8SYt8lMtSOJEMSbCbN26VYS3aTyaGif4x6RJzIRhBjNsqCOMEC5Rx7Xrc2cHpc+9pbwJLywvwbbKZjFNXaQumJUvSq766mwVTppsLjQ73LDolB3Z5QZ9dEq/mOENCZZs3LhRyIBSyLu4uDjah8QwssCGOlK021GXMQNIKYZHLzWeD4SKRjteXrUHK3bWiGkSCfnl1GycOjmr325SYU0Ua3PBpFNhTEYcko0qfLkZULOqGBNh+c/s7Gzx/6KiIrz11luYOXMmMjIy+HtghgxsqCNFuyZ3a+IYxOkDk/+kZhnv/Lgfn2wo6+hsRXKf5x+WhwRTdDpb0dg4tZ5UKxUoTDaJRDGTTi36tDJMpLDb7bjqqqvwzjvvCC96xIgRYv6pp57KXwIz5GBDHWkCaKJB6l3/+7lCZHOT3CgxOSdeNM4oSI5eZyuS/PT4fKKzFbWfpLpohokGFN4mb5oM9hdffIGrr76avwhmyMKGOoagRLEf9lBnqz0obbCJeTkJBpEoNi03IWqCJQ02F9qcHjEmnptkRLKJO1sxkWfv3r3IzMwUCWL0t/DMM8+gqqoKs2fP5q+DGdKwoY4RdlW34MXlJfiptFFMU1nTeYfl4pix6VFT8Wqxu9FodyLeoMWIbDPS4nQ8Bs1EBTLKVGr129/+FnfeeaeYR+Fuf8ibYYYybKgjFDb+oaQOa2oUyC1vwvSCgxKa1EHr1e/24uutVSCVUY1KgVMnZeHM6dlR7WxV2+oQ+x+VFoeMeEPUktYYhjAYDKLj1ZIlS3DHHXdwTTQzrGBDHWb+t6kcD3yyWfSdBlTAju1IMu/BJbPzRXj73+tK4XBLna2OKE7BRbPzkGoJrkuWXLg8XjEOTS0385NMorMVSZEyTKRpbW0VimL+3tCkKpaQkIATTzyRjTQz7OBf4TAb6atfWys85c7Utjjx58XbO6bHpMfhsrmFGJUeFzWPv77NCbeXOlv5E8WkcUCGiTTr1q3DGWecgbi4OPz4448dY9Inn3wyfxnMsIQNdRiNH3nS3Y10Zyj6fdsxozC3KDlqiWKNlCjmciPRpENeohHJZk4UY6IL1UU3NTXB7XZjz549LFzCDHvYUIcJGpOWwt29Q0004g3R8VypRpsSxeJ0GozLtIqSq2h12WKGN/TASJ7zjBkzxHRKSgo+++wzjBs3DmZzYJoDDDOU4V/mMFHV3LeR9lPX5op4olhZgw1OtwfFKXGYlpeA7AQjG2kmKjgcDhx77LGYNWsWVq9e3TH/sMMOYyPNMO2woQ4TNNYbCIlGTcQSxejhodHuQk6iAVPyEkQLSs7mZqItXJKamgqtVovNmzfzl8EwPcCGOkzMLEhEhlXvl/juERIQGZtpDftYOZWA1bQ4REerKTnxGJNhgSVKvaoZZs2aNWhpaem4EI8//riQAb3ooov44jBMD7ChDhNUJ33fyWPF/3sz1lfMKwybmIk/UayyyQajToWJ2fGYkB2PJLOOs7mZqPHII4+Iphn33ntvxzwak6aGGgzDDFND3dDQgOnTp2Py5MkYP348nnvuuYjt+7jxGfjn+VORbtUf4knfffxoHD4iOWydrcoabeIJgbznyTkJ4hiipXDGMH7o79Dr9aK2tla8MwzTP0M+65tqMZctWwaj0ShEFMhYn3766UhKSoqYsV40Nh3fbqvA1ytXI7doDKYXpITFaDrcpCjmhE6tRFGKGVkJRhi0rCjGRA8SLdm3b19HRvcxxxyD9evXY9KkSfy1MEyADHlDrVKphJH2Z5hSSJheET0GpUKMWTdu9yElwyK7kXa3K4rRWWXFG5CTaBRa4QwTTX744Qccd9xxInubEsX8pVZspBlmkIW+ydslxSHqikP1xB9++OEhyzz11FPIz8+HXq8XZRv0AxBs+Jt+HEhI4fbbb0dycnhCzpHG65NaT1I2d6JZi8m58RiXaWEjzcQEVAcdHx8v/t6oyxXDMIPUUFM4mowoGeOeePvtt0XXnPvuuw9r164Vy1LdZec/fP/4c/dXWVmZ+Jx+LDZs2ICSkhK88cYbIhw32GmyuVDeaINOo8TEnHiRLEaqYiz7yUQLl8uFVatWdUybTCZ8+eWX4sHar9nNMMwgDH0ff/zx4tUbjz32GK644gpccsklYvrpp58WqkUvvvgi7rrrLjGPxrwCIS0tTRj6b7/9Fr/85S97XIbC4/TyQ1KG/h8hevWG/7PeliE5RMLrcYvXQBLFqD+0SavCyBQj0iw6aNWq9u0iavR3/oN9/3JtP9TthLJeoOvIsRzNO/zww8UDMWV1+3W5c3JyxFBTtO6LoXSPh/sYhvI9Huiy/S0j5/UPZhsKX6QHbPuAvMEPPvgAp512mph2Op1ifPm9997rmEdQvSWFsz/66KN+t0neM22DksoaGxsxZ84cvPnmm5gwYUKPy99///144IEHDplPnrh/rJthmEN5+eWX8fXXX+Oaa64RSmMMw/QOtW0999xzhV2yWCyx7VH3RU1NDTwej/CEO0PTW7duDWgbe/fuxZVXXtmRRHb99df3aqSJu+++W4TaO3vU5BUceeSRfWaK09PR4sWLsWjRItHtpzs2hxPffPUlkkZOR5xRH5RgSV2rQ+iCkx53doIBlhhMFOvv/Af7/uXafqjbCWW9QNcJdTmKbE2bNg3p6enic3oI/u9//ys6X0XjHhjq93i4j2Eo3+OBLtvfMnJef3+0NhBi2lDLAYXhAg2N+yUN6dUd+lIC+WJ6W44kPAmlSi1egSSKNbZRZysPUuIMyE00CWUxZYzXQgd6nQbr/uXafqjbCWW9gd67PS334IMPitfZZ5+Nt956S8y3Wq3CM4j2PRBuYuH8wnkMQ/keD3TZ/paR4xoFs37Uk8n6grJFqbyqe/IXTfuf4ocizXZKFLNDq1ZiYrYVk7LjkRLH7SeZ2IGGouiBNi8vj4VLGCbMxLRHTUL9FFr76quvOsaoSc2Ipq+77rqIHkskkslsTg/qbU4YNSoUJxtEqFunUcHn9cAVzUyxQZBow8lkoV+TQJajoaYdO3aIB2dajoaPaJoemGl4il7RvgfCTSycHyeTdYWTySIEifPv3LlT/H/KlCkiy5vGgxMTE5GbmyvKsyh57JlnnhFh7CeeeALvvPOO+OHoPnYtJ1QuRi/6Adq+fTsnkzHDFvpb+7//+z/hQf/9739HQkJCtA+JYYZVMlnUs76XLFkiDHN3yDhTFilBPw6PPvooKioqRM30X//6VyF8EglowJ/G3srLy2VPJqNEsYY2J9xeL1IteqEqFm/UYjAS7UQbTiYL/Zr0txxFgyhRjJpn0Jj0OeecE/ZEm1gkFs6Pk8mGVjIZDe8OiqzvBQsW9CvpSWHuSIe6w5lMplCqRGerVqcbSWY98hKNQqwk1hPFBkOiDSeThX5N/MvRDwfpFNx0002iZJLm0XATCZhQVnckEm1imVg4P04mG17JZFE31MMNEixpcnpFP+jxWVYxDq1RxXROHzOMIO+ZGmjQ+DM95V922WViPoW7h+rYM8PEOmwhIoxapUBxahym5iUgO8HIRpqJKdRqNX7961+L/tDcI5phYgP2qCOU9e3X9xyXYUa8ieq0vXC5hk4/3mhnxHLWd2jXhKooSJaXwnD+5UhZjGR7DQZDl3UjKa8Yi8TC+XHWd1c463uYw1nfzHCAEjapYx01sSEBE27qwjCRYVBlfcc6cmV9x0LGaDiJ9vlx1ndo14Q6ys2bNw+nnHIKHn/88R5V+QLdXrTvgXATC+fHWd9d4axvJiwyjLGQMRpOon1+nPXd9zWh/u+kC3D55ZeL6ZEjRwodA2qmQUaa7/Ho32OBwFnfXeGsb4ZhhgTff/895s+fLwzyEUccIYw0odcH3iSGYZjIw8lkDDNMIGU/6v1O3eBSU1OjfTgMwwQIG2qGGaLs378fzz//PI4++mgRGqREMerhHu2wLcMwwcGGOkLlWbFQ2hFOon1+XJ7VFdKoJwNNyWIkv3vPPfcccq2CvXZ8j0f/b5jLs7rC5VnDHC7PYgY7S5cuFZKfVBdNDW4YhokduDxLRrg8a3CUrgz38iy73Y4//OEPOOGEEzBr1iwxz+l04osvvsCxxx47oKYcgS4X7Xsg3MTC+XF5Vle4PIvpApdnDY7SleFankVtKB955BF88sknWL9+vZACJZRKpWz3bqDLRfseCDexcH5cnjW8yrNY65thhgB33HGHaAFL6mJ+I80wzNCA/6IZZpBBYoJvv/02tmzZggceeEDMI9W8tWvXsgQowwxB2FD3g19htbm5ud/xO0oOoDHt3sbv+vp8sBPt8wv3/uXafqjb6bzezz//jF/96ldiPgmYTJ8+fUD7kmu5aN8D4SYWzi+cxxBL93ig67mCWCeQZSN5j9M2iEBUvFnrux8OHDggBCIYhmEYJhx6B9nZ2X0uw4a6H6gNIEktrlmzpt+w4owZM7B69epen57I4NOX0l+nlMFKX+c/FPYv1/ZD3U4o6wW6jhzL8T0++O/zoXyPB7pspO5x8qQpUpuZmSmSPvuCQ9/9QBdQq9WKDlr9oVKp+v3y6POhaqgDOf/BvH+5th/qdkJZL9B15FyO7/HBe58P5Xs80GUjeY8HYlcIzvoOgGuvvVbW5YYq0T7/cO9fru2Hup1Q1pP73o32dxxtYuH8w3kMQ/keD3TZWPiOu8Oh7wgLpwTSJJxhBiN8jzNDnaYo/Y6zRx0hqLXgfffdJ94ZZijC9zgz1NFF6XecPWqGYRiGiWHYo2YYhmGYGIYNNcMwDMPEMGyoGYZhGCaGYUPNMAzDMDEMG+oYhfRk8/LycNttt0X7UBhGdhoaGoRGOXX8Gj9+PJ577jm+ysyQYv/+/ViwYAHGjh2LiRMn4t133w15W5z1HaPcc8892Llzp5Cr+/Of/xztw2EYWfF4PHA4HDAajWhtbRXG+scffxRdwBhmKFBeXo7KykrxMFpRUYFp06Zh+/btMJlMQW+LPeoYZMeOHdi6dSuOP/74aB8Kw4QFkmkkI02QwSbd40C6CDHMYCEjI0MYaSI9PR3Jycmoq6sLaVtsqINk2bJlOPnkk4WQOjXp+PDDDw9Z5qmnnkJ+fj70ej0OO+ww/PDDD0Htg8LdDz/8cLCHxjCD6j6n8PekSZNE56Dbb79d/JAxzFC6x/1QUyeKIoXaiZENdZBQmI5+XOgL7Im3334bt9xyi1CvWbt2rVj22GOPRVVVVccy/nG57q+ysjJ89NFHolsXvRhmqN7nRHx8PDZs2ICSkhK88cYbIkzIMEPpHifIi77wwgvx7LPPImR8TMjQ5fvggw+6zJs5c6bv2muv7Zj2eDy+zMxM38MPPxzQNu+66y5fdna2Ly8vz5eUlOSzWCy+Bx54gL8lZkjd5925+uqrfe++++6Aj5VhYuket9vtvnnz5vleeeUV30Bgj1pGnE6nCHEcffTRXdpk0vSqVasC2gaFvClbcM+ePSKJ7IorrsBvf/tbOQ+TYaJ+n5P3TL14CWpwQGHIUaNG8TfDDJl73Ofz4eKLL8bChQtxwQUXDOh42FDLSE1NjRiHSEtL6zKfpinrj2GGAnLc53v37sW8efNEOJHer7/+ekyYMCFMR8wwkb/HV6xYIcLnNPZNIXJ6bdy4MaSvQh3SWkxEoKcxhhmKzJw5E+vXr4/2YTBM2Jg7dy68Xq8s22KPWkYoa5XKTronxdA0peczzFCA73NmqJMcY7/lbKhlRKvViqL2r776qmMePVHR9OzZs+XcFcNEDb7PmaGONsZ+yzn0HSQtLS1CMcwPlZZQCC8xMRG5ubkinf+iiy4S8ogU3nviiSdEGcAll1wi93fHMGGD73NmqNMymH7LB5QzPgz55ptvRCp/99dFF13Usczf/vY3X25urk+r1YoU/++++y6qx8wwwcL3OTPU+WYQ/Zaz1jfDMAzDxDA8Rs0wDMMwMQwbaoZhGIaJYdhQMwzDMEwMw4aaYRiGYWIYNtQMwzAME8OwoWYYhmGYGIYNNcMwDMPEMGyoGYZhGCaGYUPNMAzDMDEMG2qGiQL5+flCOzhcLFiwADfddJOsLVdPO+002bbHMEzgcFMOhhmC/Pvf/4ZGo4n2YQz6hyl62JHzgYdhQoENNcMMQagDUKzjdDpFO8HOeDweKBQKKJXBBfsCXc/n84ll1Wr+6WMGDxz6ZpgwhJ2vu+468bJaraIJ/b333iuMRGfa2tpw6aWXIi4uTrTVe/bZZzs+W7hwoVi/M9XV1cKw+Xvk/uMf/0BxcTH0ej3S0tLwy1/+sssxdPYEHQ4H7rzzTuTk5ECn06GoqAgvvPCC+IwM12WXXYaCggIYDAaMGjUKTz75ZNDnvXz5csybN09sg/Zzww03iLaAnT3UBx98EBdeeCEsFguuvPJKvPzyy4iPj8fHH3+MsWPHimPbt28f6uvrxXIJCQkwGo04/vjjsWPHjo5t9bZed5YsWSIM+H//+1/RX5iWo+PctWsXTj31VHHdzGYzZsyYgS+//LLL9du7dy9uvvlmsT69Aj1PhpGdqPTsYpghzPz5831ms9l34403+rZu3ep77bXXfEaj0ffss892LJOXl+dLTEz0PfXUU74dO3b4Hn74YZ9SqRTLE6+//rovISHBZ7fb/7+9+wtpqo3jAP68SGAI3kTSH0WxLpSRaIh/dtONsRsrMygKI8EycBeCBN2MObwSWkZWKAQNBNcaFAYRtEWQYRTKWCTKxH9BIcR2I4pQsie+Pzhjm66O7zt5B30/MHRn55w9zy78nuf3PMcljhkYGNBlZWU6Ho/ryclJnZeXp71er15eXtahUEjfvXs3pQ14f8P58+d1SUmJfvbsmV5YWNCvX7/WPp9PXvvx44d2Op1yzsXFxUR7nzx5kjgeX/135syZjH2en5/XBQUF+s6dO3pubk5PTEzompoa3d7entLnwsJC7Xa7ZX88PB6P3rNnj7ZarXIM+r++vq5Pnz6tKysr9fj4uA6Hw9pms+mjR49KWyHTcZm+yrCqqkoHAgF5z1gsJuccHh7Wnz9/lvY6HA6dn5+vv3z5Isdhn+LiYt3X16dXVlbkYbafRNnGoCbKMoQkQgaBarh586ZsSw6ttra2xHPsW1RUpIeGhuT5xsaGBHVyWCJsXC6X/P706VMJvdXV1YxtMII6EolIWAWDQdN9sNvt+ty5c6aDuqOjQ3d2dqZse/funVx8oC9Gn1taWlL2QeCibQhOAwIQ2xCChmg0qvfu3av9fn/G47ZjBPXY2Ngf+2yxWOT7hw1oLwJ5p/0kyjaWvol2QUNDQ0q5tLGxUUq3KDMbqqqqEr9j3wMHDqjv37/Lc5SzL1++rB49eiTPQ6GQmp6eltXXcPLkSVVaWqrKy8tlv9HRUSmlbyccDqu8vDx14sSJjO198OCBlIb3798vpWCU4bcrJWfy6dMnKUfjWONhs9lUPB5XS0tLif1qa2u3HItyfvJnMTs7K3PI9fX1iW379u2Tkjxey3Tc76S/79ramrpx44aqrKyUEjrai3P/qc9m+0mUTVxRQfQ/SV+VjbDGH3zD1atXVXV1tfr69avyeDwyb41wBsxrI7wxBxsIBJTT6VQul0tNTk5K8CTDXOrv+Hw+Ca3bt2/LBQXOfevWLfXx40fTfUHwXb9+XeZr02H+3VBQULDldbQv+aLGrJ0cl/6+6G8wGFRut1vm63EuzPFjgVs2+kmUTQxqol2QHnIfPnyQhV8Y2Zp17NgxGQk+fPhQeb1edf/+/ZTXMepsamqSR29vrwT0mzdvVGtr65bz4ALg7du3sm+6iYkJZbVaVVdXV2IbFlvtxPHjx9XMzIyE3n+FUe7m5qZ8hmgXxGIxFYlEZOFYNqDPqE6cPXs2EcDLy8sp+2DEnlwByXY/icxi6ZtoF6CE2tPTI+Hy+PFjde/ePdXd3b3j82BU3d/fLyvGjVCBFy9eqMHBQSlrY3XyyMiIhDHKw+mw2vrKlSuywnxsbExKtBiJ+/1+eR0XEFNTU+rVq1dqbm5OVqhjZL4TWFH+/v17WamONqHM//z58y0r181Ae7Ai+9q1a7LCGuXmtrY2dfjwYdmeDXgP3GuOtuL8ly5dSqlmGJ/b+Pi4+vbtm4pGo1nvJ5FZDGqiXYBbizY2NlRdXZ2y2+0S0rgdaacuXrwoI2f8xLy1AaNnBA3K4RiBDg8PywWBxWLZ9jxDQ0NS2sWouaKiQkLQuKUIpVyMwi9cuCDzwhi9Jo+uzcBcMUbsCHrculRTUyPl+EOHDql/A6V+zJk3NzdLOR4XKi9fvszaP3EZGBiQW78wYj916pTMM2O0nKyvr09G2UeOHJG5+93oJ5EZ/2BFmak9icgU3IOLueVs/ItQIygwwk0PEiL6O3COmigH/fz5U0a2DodDVpAzpIn+Xix9E+UgLHY6ePCgjKRR1iaivxdL30RERDmMI2oiIqIcxqAmIiLKYQxqIiKiHMagJiIiymEMaiIiohzGoCYiIsphDGoiIqIcxqAmIiLKYQxqIiIilbt+AfDqfUhNKJvcAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ "code = codes.SteaneCode()\n", - "decoding_kwargs = dict(\n", - " with_MWPM=True, ignore_non_graphlike_errors=True\n", - ") # use MWPM, ignoring non-graphlike errors\n", + "decoding_kwargs = dict(with_MWPM=True, ignore_non_graphlike_errors=True) # use MWPM, ignoring non-graphlike errors\n", "\n", "noise_model = circuits.DepolarizingNoiseModel(10e-3) # noise model used to train AlphaSyndrome\\\n", "decoder = decoders.SinterDecoder(**decoding_kwargs)\n", From d198d90024ea6364a61294a0d924cfccc563e74c Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Sat, 28 Mar 2026 12:45:21 -0400 Subject: [PATCH 70/71] formatting fix --- examples/logical_error_rates/5_alpha_syndrome.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/examples/logical_error_rates/5_alpha_syndrome.ipynb b/examples/logical_error_rates/5_alpha_syndrome.ipynb index 7a991203b..b71fc5988 100644 --- a/examples/logical_error_rates/5_alpha_syndrome.ipynb +++ b/examples/logical_error_rates/5_alpha_syndrome.ipynb @@ -278,7 +278,7 @@ ], "source": [ "code = codes.SteaneCode()\n", - "decoding_kwargs = dict(with_MWPM=True, ignore_non_graphlike_errors=True) # use MWPM, ignoring non-graphlike errors\n", + "decoding_kwargs = dict(with_MWPM=True, ignore_non_graphlike_errors=True)\n", "\n", "noise_model = circuits.DepolarizingNoiseModel(10e-3) # noise model used to train AlphaSyndrome\\\n", "decoder = decoders.SinterDecoder(**decoding_kwargs)\n", From 6dc28df7131eab77913a7b10d354f1c47b27f8d4 Mon Sep 17 00:00:00 2001 From: "Michael A. Perlin" Date: Sat, 28 Mar 2026 12:56:14 -0400 Subject: [PATCH 71/71] faster example, with fewer iterations --- .../5_alpha_syndrome.ipynb | 52 +++++++++---------- 1 file changed, 26 insertions(+), 26 deletions(-) diff --git a/examples/logical_error_rates/5_alpha_syndrome.ipynb b/examples/logical_error_rates/5_alpha_syndrome.ipynb index b71fc5988..c8b2b065e 100644 --- a/examples/logical_error_rates/5_alpha_syndrome.ipynb +++ b/examples/logical_error_rates/5_alpha_syndrome.ipynb @@ -226,18 +226,18 @@ "name": "stderr", "output_type": "stream", "text": [ - "Scheduling gate 1 of 12: 100%|█████████████████████████████████████████| 5000/5000 [02:09<00:00, 38.71it/s]\n", - "Scheduling gate 2 of 12: 100%|█████████████████████████████████████████████| 24/24 [00:00<00:00, 38.90it/s]\n", - "Scheduling gate 3 of 12: 100%|█████████████████████████████████████████████| 15/15 [00:00<00:00, 38.86it/s]\n", - "Scheduling gate 4 of 12: 100%|█████████████████████████████████████████████| 30/30 [00:00<00:00, 38.76it/s]\n", - "Scheduling gate 5 of 12: 100%|█████████████████████████████████████████████| 12/12 [00:00<00:00, 38.75it/s]\n", - "Scheduling gate 6 of 12: 100%|█████████████████████████████████████████████| 24/24 [00:00<00:00, 38.76it/s]\n", - "Scheduling gate 7 of 12: 100%|███████████████████████████████████████████████| 8/8 [00:00<00:00, 39.24it/s]\n", - "Scheduling gate 8 of 12: 100%|███████████████████████████████████████████████| 7/7 [00:00<00:00, 39.55it/s]\n", - "Scheduling gate 9 of 12: 100%|███████████████████████████████████████████████| 6/6 [00:00<00:00, 37.46it/s]\n", - "Scheduling gate 10 of 12: 100%|██████████████████████████████████████████████| 5/5 [00:00<00:00, 38.78it/s]\n", - "Scheduling gate 11 of 12: 100%|██████████████████████████████████████████████| 3/3 [00:00<00:00, 38.88it/s]\n", - "Scheduling gate 12 of 12: 100%|████████████████████████████████████████████| 50/50 [00:01<00:00, 38.81it/s]\n" + "Scheduling gate 1 of 12: 100%|█████████████████████████████████████████| 1000/1000 [00:24<00:00, 40.01it/s]\n", + "Scheduling gate 2 of 12: 100%|█████████████████████████████████████████████| 23/23 [00:00<00:00, 40.63it/s]\n", + "Scheduling gate 3 of 12: 100%|█████████████████████████████████████████████| 24/24 [00:00<00:00, 39.19it/s]\n", + "Scheduling gate 4 of 12: 100%|█████████████████████████████████████████████| 28/28 [00:00<00:00, 40.67it/s]\n", + "Scheduling gate 5 of 12: 100%|█████████████████████████████████████████████| 17/17 [00:00<00:00, 40.79it/s]\n", + "Scheduling gate 6 of 12: 100%|█████████████████████████████████████████████| 13/13 [00:00<00:00, 40.55it/s]\n", + "Scheduling gate 7 of 12: 100%|███████████████████████████████████████████████| 9/9 [00:00<00:00, 39.98it/s]\n", + "Scheduling gate 8 of 12: 100%|███████████████████████████████████████████████| 8/8 [00:00<00:00, 39.45it/s]\n", + "Scheduling gate 9 of 12: 100%|█████████████████████████████████████████████| 12/12 [00:00<00:00, 39.96it/s]\n", + "Scheduling gate 10 of 12: 100%|██████████████████████████████████████████████| 5/5 [00:00<00:00, 40.70it/s]\n", + "Scheduling gate 11 of 12: 100%|██████████████████████████████████████████████| 3/3 [00:00<00:00, 39.24it/s]\n", + "Scheduling gate 12 of 12: 100%|██████████████████████████████████████████████| 2/2 [00:00<00:00, 40.50it/s]\n" ] }, { @@ -251,23 +251,23 @@ "name": "stderr", "output_type": "stream", "text": [ - "Scheduling gate 1 of 12: 100%|█████████████████████████████████████████| 5000/5000 [02:04<00:00, 40.07it/s]\n", - "Scheduling gate 2 of 12: 100%|█████████████████████████████████████████████| 23/23 [00:00<00:00, 39.85it/s]\n", - "Scheduling gate 3 of 12: 100%|█████████████████████████████████████████████| 27/27 [00:00<00:00, 40.16it/s]\n", - "Scheduling gate 4 of 12: 100%|█████████████████████████████████████████████| 21/21 [00:00<00:00, 39.46it/s]\n", - "Scheduling gate 5 of 12: 100%|█████████████████████████████████████████████| 15/15 [00:00<00:00, 40.35it/s]\n", - "Scheduling gate 6 of 12: 100%|█████████████████████████████████████████████| 18/18 [00:00<00:00, 40.49it/s]\n", - "Scheduling gate 7 of 12: 100%|███████████████████████████████████████████████| 7/7 [00:00<00:00, 39.20it/s]\n", - "Scheduling gate 8 of 12: 100%|█████████████████████████████████████████████| 13/13 [00:00<00:00, 40.51it/s]\n", - "Scheduling gate 9 of 12: 100%|███████████████████████████████████████████████| 8/8 [00:00<00:00, 40.47it/s]\n", - "Scheduling gate 10 of 12: 100%|████████████████████████████████████████████| 35/35 [00:00<00:00, 39.98it/s]\n", - "Scheduling gate 11 of 12: 100%|██████████████████████████████████████████████| 4/4 [00:00<00:00, 40.45it/s]\n", - "Scheduling gate 12 of 12: 100%|██████████████████████████████████████████████| 2/2 [00:00<00:00, 31.44it/s]\n" + "Scheduling gate 1 of 12: 100%|█████████████████████████████████████████| 1000/1000 [00:25<00:00, 39.86it/s]\n", + "Scheduling gate 2 of 12: 100%|█████████████████████████████████████████████| 43/43 [00:01<00:00, 39.79it/s]\n", + "Scheduling gate 3 of 12: 100%|█████████████████████████████████████████████| 50/50 [00:01<00:00, 40.15it/s]\n", + "Scheduling gate 4 of 12: 100%|█████████████████████████████████████████████| 12/12 [00:00<00:00, 39.58it/s]\n", + "Scheduling gate 5 of 12: 100%|█████████████████████████████████████████████| 12/12 [00:00<00:00, 40.57it/s]\n", + "Scheduling gate 6 of 12: 100%|█████████████████████████████████████████████| 11/11 [00:00<00:00, 39.40it/s]\n", + "Scheduling gate 7 of 12: 100%|█████████████████████████████████████████████| 12/12 [00:00<00:00, 40.62it/s]\n", + "Scheduling gate 8 of 12: 100%|█████████████████████████████████████████████| 20/20 [00:00<00:00, 40.72it/s]\n", + "Scheduling gate 9 of 12: 100%|█████████████████████████████████████████████| 63/63 [00:01<00:00, 40.13it/s]\n", + "Scheduling gate 10 of 12: 100%|████████████████████████████████████████████| 10/10 [00:00<00:00, 40.58it/s]\n", + "Scheduling gate 11 of 12: 100%|██████████████████████████████████████████| 149/149 [00:03<00:00, 40.14it/s]\n", + "Scheduling gate 12 of 12: 100%|████████████████████████████████████████████| 43/43 [00:01<00:00, 40.34it/s]\n" ] }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -284,7 +284,7 @@ "decoder = decoders.SinterDecoder(**decoding_kwargs)\n", "strategies = [\n", " circuits.EdgeColoring(),\n", - " circuits.AlphaSyndrome(noise_model, decoder=decoder, iters_per_step=5000),\n", + " circuits.AlphaSyndrome(noise_model, decoder=decoder),\n", "]\n", "\n", "make_memory_experiment_figure(code, strategies, **decoding_kwargs)\n",