Manuscript Hawk05-C@1 · Hawk05-C.tex · section · ba0719f1

Finite-dimensional entropy continuity

Typicality and physical transfer require different allowances › Finite-dimensional entropy continuity · lines 809–823

For an integer $L \geq 1$ , define

c_{L} (η) = {0, h_{2} (t) + t lo g_{2} (L - 1), L = 1, L \geq 2, t = min {η, 1 - 1/ L} .

If states on an $L$ -dimensional space have trace distance at most $η$ , then their entropy difference is at most $c_{L} (η)$ Audenaert.

Displayed formulas in this passage

unlabeled · line 812
$c_{L} (η) = {0, h_{2} (t) + t lo g_{2} (L - 1), L = 1, L \geq 2, t = min {η, 1 - 1/ L} .$