Logical Operations in Floquet Codes

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" summary

Claims that logical gates are absorbed into measurement sequences by designing dynamic automorphism codes built from a color-code parent and explicit condensation graphs, with concrete two‑body Pauli measurement sequences and a few three‑ or non‑Pauli measurements. A 2D bilayer construction yields 72 automorphisms (enough to generate the full Clifford group with boundary triangles plus a three‑qubit edge coupling), while a three‑copy 3D construction produces a non‑Clifford membrane exchange; sequences are written microscopically but require extra rounds of error correction and decoding to be fault tolerant.

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" chapters (10)

1. 0:00Floquet codes and logical ops
2. 2:34Fault-tolerant quantum challenges
3. 4:21Dynamic automorphism gates
4. 10:05Automorphisms in topological codes
5. 14:42Anyon condensation cycles
6. 25:30Logical ops via automorphisms
7. 28:002D dynamic automorphism color codes
8. 37:013D dynamic automorphism codes
9. 39:33Summary and future directions
10. 41:18Q&A