Manuscript Hawk04-A@1 · Hawk04-A.tex · corollary · 526092ba

Corollary: No-hiding, with the outputs interchanged

Exact recovery and the precise no-hiding statement › A complete-complement theorem · lines 524–535 · proof included or linked

Hawk04-A@1#cor:nohiding

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If the accessible channel $N$ is constant on the entire code, then the complete complementary output $B$ exactly recovers that code. The arbitrary quantum state cannot reside only in inaccessible correlations between $R$ and $B$ .

Proof. Interchange $R$ and $B$ in Theorem thm:exact.

Nearby in this section

theorem: Theorem: Exact recovery if and only if the complete complement is constant
section: A complete-complement theorem
corollary: Corollary: No simultaneous exact bleaching in a pure complete dilation