Geometrically based tutorial on quantum state discrimination

[vprusso]

The book Geometry of Quantum States contains a rich source of geometrically-focused examples on problems that arise in the study of quantum states.

It would be nice to consider some specifically "well-structured and interesting" sets of states (e.g. SIC-POVMs) as a foundation for a tutorial that uses the various state-specific functionality in toqito for things like quantum state discrimination on these well-structured and interesting states.

For instance, there is a Mathematica-based notebook that shows a list of some known SIC-POVMs:
http://home.lu.lv/~sd20008/papers/research/SIC-POVMs/List%20of%20SIC-POVMs.html

However, the notebook doesn't contain much in the way of description about the states, how they tie into QSD, etc.

One could also consult a paper like the following for some specific examples of settings/problems that may be of interest to showcase, consider, etc. and how they can potentially be geometrically (or just visually) depicted in the context of a tutorial:
https://arxiv.org/pdf/2002.03233

[aman-coder03]

Can I work on this issue?

[vprusso]

Can I work on this issue?

This is likely going to be an issue for the unitaryDESIGN project, so it might be best to hold off on this one until that event (which is early next year):
https://unitary.design/