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

Definition: Recovery error and complete leakage

Complete interfaces and operational distances · lines 292–313

Hawk05-A@1#def:errors, Hawk05-A@1#eq:recovery, Hawk05-A@1#eq:leakage

For the interface (eq:channels), set

ε_{rec} (N) δ_{full} (C) = D : A \to C CPTP in f d_{⋄} (DN, id_{C}), = τ \in S (E) in f d_{⋄} (C, T_{τ}) .

Define

a_{d} = 1 - \frac{1}{d ^{2}}, b_{d} = 1 - \frac{1}{d} .

Displayed formulas in this passage

Hawk05-A@1#eq:recovery · line 295
$ε_{rec} (N) δ_{full} (C) = D : A \to C CPTP in f d_{⋄} (DN, id_{C}), = τ \in S (E) in f d_{⋄} (C, T_{τ}) .$
Hawk05-A@1#eq:leakage · line 295
$ε_{rec} (N) δ_{full} (C) = D : A \to C CPTP in f d_{⋄} (DN, id_{C}), = τ \in S (E) in f d_{⋄} (C, T_{τ}) .$
unlabeled · line 308
$a_{d} = 1 - \frac{1}{d ^{2}}, b_{d} = 1 - \frac{1}{d} .$