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Nov 22 at 6:47 comment added Chris Pattison It might be easy to analyze by rephrasing the question in terms of the symplectic formalism (section 3.4 of Gottesman's thesis arxiv.org/abs/quant-ph/9705052). E.g. by sampling binary matrices** that act on the length-2n binary vector associated with a particular Pauli operator. ** Subject to an invertibility / full rank constraint so that there is a Clifford that implements that transformation
Nov 21 at 21:32 comment added forky40 That's interesting. I guess if conjugation by a random Clifford does result in uniformly random Paulis, someone must have proven this at some point.
Nov 21 at 19:59 history answered Craig Gidney CC BY-SA 4.0