Draft talk:Magic state

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Mathematics

This draft is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics

some comments

I think the draft is a good start. A few comments and suggestions:

I think one should say why one wants to use magic states rather than non-Clifford gates. To my understanding, these gates are much harder to implement fault-tolerantly as they cannot be implemented "transversally" (while the Clifford gates can).
it should be made clear why it's important to have states with a lot of magic? What can one do with them? Are two states with magic M as good as one state with magic 2M? Are all states with the same amount of magic equally useful?
I find the section on maximally magic states a bit over long; moreover, it seems a bit premature to already include the results a two preprints (one from April, one from June) that are not yet peer-reviewed. I also don't think that the day on which the preprint appeared is of any importance to the article; much less that it should be mentioned repeatedly as is currently done with "June 16".
I find it unclear what is meant by SREs being "theoretically robust"
d and D are both used to denote the dimension
link to universal quantum computer instead of universal quantum computing
link T gate to Quantum_logic_gate#Phase_shift_gates
since stabilizer state and Weyl-Heisenberg group are redlinks, the concepts should be explained or at least citations added to where the reader can learn what they are. --Qcomp (talk) 21:57, 17 June 2025 (UTC)[reply]