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

Complete interfaces and operational distances

Complete interfaces and operational distances · lines 313–325

The infima are attained: the finite-dimensional sets of channels and states are compact, and the displayed objectives are continuous.

All finite entropies are in bits:

S (ρ) = - Tr (ρ lo g_{2} ρ), h_{2} (q) = - q lo g_{2} q - (1 - q) lo g_{2} (1 - q),

with the continuous endpoint convention.

Displayed formulas in this passage

unlabeled · line 319
$S (ρ) = - Tr (ρ lo g_{2} ρ), h_{2} (q) = - q lo g_{2} q - (1 - q) lo g_{2} (1 - q),$