Manuscript Hawk05-A@1 · Hawk05-A.tex · definition · 449f85bb

Definition: Complete access interface

Complete interfaces and operational distances · lines 255–271

Hawk05-A@1#def:interface, Hawk05-A@1#eq:channels

A complete interface is an isometry

V : H_{C} ⟶ H_{A} \otimes H_{E} .

Its accessible channel and complete complementary channel are

N (X) = Tr_{E} (V X V^{†}), C (X) = Tr_{A} (V X V^{†}) .

The accessible output $A$ may be quantum or hybrid classical–quantum. The environment $E$ includes every unreturned output of the complete preparation and evolution.

Displayed formulas in this passage

Hawk05-A@1#eq:channels · line 262
$N (X) = Tr_{E} (V X V^{†}), C (X) = Tr_{A} (V X V^{†}) .$
unlabeled · line 258
$V : H_{C} ⟶ H_{A} \otimes H_{E} .$

Nearby in this section

section: Complete interfaces and operational distances
section: Complete interfaces and operational distances
definition: Definition: Recovery error and complete leakage
section: Complete interfaces and operational distances
lemma: Lemma: Postprocessing and recovery stability