Additional negative controls

Identity and ${\mathcal{T}}_{{\rho }_0}$ agree on input ${\rho }_0$. One-state agreement is not channel certification.

For the isometry

both computational-basis preparations have $B$ marginal $I_2/2$, but input $|+⟩$ maps to $|00⟩$. Selected residual data do not prove a constant complete complement. Every preparation purifier must be retained for a complete-complement claim.

Reference compensation and setting-dependent drift are the out-of-contract examples in Section sec:failure.

Magic resources, an area-law record, and a PEPS bond dimension are not measurements of $F_e$ or converted channel allowances CheungEn04A,Oai265A.

Classical capacity is a different task. No capacity theorem is used as a diamond-error premise.