Manuscript Em05-B@1 · Em05-B-v1.tex · remark · 6c050f5b

Remark: Marginal equality is not channel equality

Population-preserving dephasing and its full environment › Full transfer: exact optimal recovery · lines 1771–1787

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The complete referenced Bell output is the normalized Choi state and determines the channel. Its accessible marginal alone does not. Coherence-sensitive preparations also distinguish the noisy channels; for example,

Thus Corollary cor:separation is a limitation of single-input marginal diagnostics, not of complete channel tomography.

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