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Comparisons between quantum state distinguishability measures

2012/07/31 by Koenraad M. R. Audenaert · 2 citations
Physics and Astronomy · #quant-ph

paper · pdf

published as Quant. Inf. Comp. 14(1&2) 31-38 (2014) · 8 pages. Title changed, minor textual changes. Accepted for publication in Quant. Inf. Comp

arxiv created 2013/04/16 · arxiv updated 2014/10/24

Abstract

We provide a compendium of inequalities between several quantum state distinguishability measures. For each measure these inequalities consist of the sharpest possible upper and lower bounds in terms of another measure. Some of these inequalities are already known, but new or more general proofs are given, whereas other inequalities are new. We also supply cases of equality to show that all inequalities are indeed the sharpest possible.

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