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arXiv · 1304.5935

Quantum Skew Divergence

Koenraad M. R. Audenaert
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Abstract

In this paper we study the quantum generalisation of the skew divergence, which is a dissimilarity measure between distributions introduced by L. Lee in the context of natural language processing. We provide an in-depth study of the quantum skew divergence, including its relation to other state distinguishability measures. Finally, we present a number of important applications: new continuity inequalities for the quantum Jensen-Shannon divergence and the Holevo information, and a new and short proof of Bravyi's Small Incremental Mixing conjecture.

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Koenraad M. R. Audenaert. 2014-08-30. Quantum Skew Divergence. https://doi.org/10.1063/1.4901039

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