Correcting a typo:
"Affine Equivalence in the Clifford Hierarchy" is the name of the preprint.

Here's the TLDR version of the cycle structure result:

We also use our algorithm to enumerate how many affine equivalence classes of particular cycle structures are in the hierarchy for small cycle structures. We then prove a structure theorem which lets us determine this for arbitrarily many qubits.

Check it out if interested:
arxiv.org/abs/2507.14370

I tried to purge this TLS from the system but museum staff got very upset for some reason…

Oh I see, so I needed to add a random pi phase bit to the measure and then propagate that through to cancel it. Thanks

Ah I didn’t notice that it would need classical feedback, interesting

Great use of a particular identity for the hadamard in ZX calculus

I don’t post too often but I’d love to join the pack!

I trusted you bro :(