2776 — A Syndrome Fiber Is a Homology Torsor, Not a Decoder
For , the error fiber (\partial_1^{-1}(s)) is affine over cycles and, modulo local plaquette repairs, a torsor over . A decoder is an additional section of the syndrome map. Logical probes can separate the torsor but do not choose its preferred origin or correction.
- Packet:
research/kitaev/a-syndrome-fiber-is-a-homology-torsor-not-a-decoder.md - Checker:
research/kitaev/checkers/check_syndrome_homology_torsor.py - Results:
research/kitaev/results/syndrome-homology-torsor.json - Sequence:
seqclaim-5d71b36c3214f48455e2f303 - Epistemic graph:
ev-000000004247-18c643e6-510d-4346-9f0a-dd8c81401cc4
No physical decoder was constructed. No commit or push was authorized.