2778 — No Deterministic Decoder Is Canonical Under Logical Translations
A logical group acts freely and transitively on each syndrome torsor while leaving syndrome fixed. An equivariant deterministic decoder would require a fixed point of every translation, which does not exist when . A reference selects an origin by breaking that symmetry. Uniform randomization is invariant but does not select or preserve a logical correction.
- Packet:
research/kitaev/no-deterministic-decoder-is-canonical-under-logical-translations.md - Checker:
research/kitaev/checkers/check_decoder_translation_no_go.py - Results:
research/kitaev/results/decoder-translation-no-go.json - Sequence:
seqclaim-af3d322a80155a9d1cff0434 - Epistemic graph:
ev-000000004249-702d9784-1d79-4ffc-9e1c-e82a6a50e3e5
No physical decoder was constructed. No commit or push was authorized.