Relationship to the companion manuscripts

The principal comparisons are Hawk04-A and Hawk04-B, which separate complete preservation from restricted quantum recovery, and En07-A, En07-B, En07-C, and En04-A, which make the readout, complement, endpoint, and response distinctions explicit CheungHawk04A,CheungHawk04B,CheungEn07A, CheungEn07B,CheungEn07C,CheungEn04A.

All exact channel statements needed for the six rows are proved locally. The companion citations identify related formulations, not imported model-specific Hamiltonians, field preparations, or gravitational dictionaries. The underlying exact error-correction, dilation, and no-hiding principles are established quantum information theory KnillLaflamme,Stinespring,BraunsteinPati; no priority claim is made for them.

The source material supplied for Hawk04-A@1 and En07-B@1 includes version-pinned excerpts rather than an independently inspected complete proof package. Appendix app:sources records the source boundary. No external OpenAI-family proof is a premise of this manuscript.