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arxiv: 1207.1197 · v2 · submitted 2012-07-05 · 🪐 quant-ph

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Comparisons between quantum state distinguishability measures

Koenraad M. R. Audenaert
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classification 🪐 quant-ph
keywords inequalitiesdistinguishabilitymeasuremeasurespossiblequantumsharpeststate
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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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Cited by 1 Pith paper

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    A witness-based framework quantifies continuous-variable resources and activates them into discrete-variable entanglement or EPR steering via measure-and-prepare channels that produce Werner states.