Manuscript VIII-C@3 · VIII-C-v3.tex · section · 3b070436
Code decoding is not a quantum-return decoder
Rejected interpretations and independent comparisons › Code decoding is not a quantum-return decoder · lines 2184–2199
The full-code criterion is the corresponding specialization of
quantum error correction KnillLaflamme1997, restated in
Oai280-C CheungOai280C (Theorem thm:complement).
Measure-and-prepare channels are entanglement breaking
HorodeckiShorRuskai2003; the quantitative record-only comparison
appears in Hawk04-B
CheungHawk04B (Theorem thm:classical).
For subsystem recovery the complement need not be constant on the whole input. For example, tracing out a nuisance subsystem preserves the logical subsystem while returning the nuisance state to a nonconstant complement. Neither recovery criterion is silently identified with geometric decoding.