Manuscript Oai119-A@1 · Oai119-A.tex · section · fdff7292

Quantities that remain separate

Stages 3 and 4: evaluation and hypothesis changes › Quantities that remain separate · lines 1554–1589

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Proposed changeExact boundary
Proposed changeExact boundary
Hellinger loss to mutual informationRequires the convexity argument in Section sec:implication; the functionals are not equal.
Classical summary to quantum recoveryRequires a quantum input/output interface and a recovery criterion. A coordinate optimizer is not a quantum decoder.
One-bit information to channel capacityRequires a coding model and asymptotic error criterion. The summary problem is not a capacity optimization.
Information to secret keyRequires an adversarial system, access specification, and secrecy criterion. No such system is present here.
Finite exact certificate to general inequalityRequires all dimensions and all correlations. A finite arithmetic instance does not supply these quantifiers.
Sampling coverage to a sharp constantRequires an exact mathematical upper bound; a confidence statement is not that bound.
Area-law record to cube contractionRequires a specified mathematical interface. None is supplied by similarly named entropy quantities.