Manuscript Em05-B@1 · Em05-B-v1.tex · definition · 6c050f5b

Definition: Pair-distance leakage

Exact recovery and complementary leakage › An elementary complementary leakage witness · lines 881–898

Em05-B@1#def:pairLeakage

For the declared extractor, define

L_{E} (η) = ρ, σ sup d_{tr} (C_{η} (ρ), C_{η} (σ)), L_{R} (η) = ρ, σ sup d_{tr} (N_{η} (ρ), N_{η} (σ)),

where the suprema are over logical density matrices. These are unreferenced pair-distance diameters, not diamond distances to replacement channels.

Displayed formulas in this passage

unlabeled · line 884
$L_{E} (η) = ρ, σ sup d_{tr} (C_{η} (ρ), C_{η} (σ)), L_{R} (η) = ρ, σ sup d_{tr} (N_{η} (ρ), N_{η} (σ)),$