Quantum Skew Divergence
Mathematical Physics
2015-06-15 v2 math.MP
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.
Cite
@article{arxiv.1304.5935,
title = {Quantum Skew Divergence},
author = {Koenraad M. R. Audenaert},
journal= {arXiv preprint arXiv:1304.5935},
year = {2015}
}
Comments
Supersedes 1102:3041, as it contains many new results and applications. v2: minor modifications, including a streamlining of the proofs. 32 1/4 pages