Manuscript Hawk05-B@1 · Hawk05-B.tex · definition · f2e5d4f5

Definition: Complete interface

Finite interfaces, reference preservation, and recovery · lines 230–244

A complete interface is an isometry

V : H_{C} ⟶ H_{R} \otimes H_{B} .

Its two channels are

N (X) = Tr_{B} (V X V^{†}), C (X) = Tr_{R} (V X V^{†}) .

The complete complement $B$ includes every unreturned preparation purifier, lost output, measurement environment, and implementation factor admitted in the model.

Displayed formulas in this passage

unlabeled · line 232
$V : H_{C} ⟶ H_{R} \otimes H_{B} .$
unlabeled · line 236
$N (X) = Tr_{B} (V X V^{†}), C (X) = Tr_{R} (V X V^{†}) .$

Nearby in this section

section: Finite interfaces, reference preservation, and recovery
section: Finite interfaces, reference preservation, and recovery
lemma: Lemma: Complete restoration and stability
theorem: Theorem: Exact complete-complement criterion
section: Finite interfaces, reference preservation, and recovery
lemma: Lemma: Replacement and Choi benchmarks
proposition: Proposition: Approximate correction input
section: Finite interfaces, reference preservation, and recovery