Manuscript Hawk07-A@1 · Hawk07-A.tex · corollary · f9c0f5da

Corollary: Any prescribed nontrivial full-diamond tolerance

Existence with a nontrivial window and turnover · lines 1382–1408 · proof included or linked

Hawk07-A@1#cor:tolerance

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For every , choose

There is one finite model and a set of Haar unitaries of measure at least on which

with the same decoder core, strict coherent rise-and-fall, and a cutoff retaining one physical qubit.

Proof. The chosen satisfies (eq:size), and . Apply Theorem thm:joint. The nonduplicate condition is proved in Section sec:nocopy. Since , the receiver is below the purely classical recovery floor.

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