Quantum divergences with p-power means

Authors: Nguyen H Lam, Lê Phi Long,

https://doi.org/10.1016/j.laa.2020.09.009

Publisher, magazine: ,

Publication year: 2021

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Abstract

We study several properties of a family of quantum divergences with p-power means. We also show that the Hellinger distance with log Euclidean mean and the quantum Jensen-Shannon divergence can be rediscovered from our class of quantum distances via the limit processes.

Tags: Power mean, Positive definite matrix, Convexity, Data processing inequality, Quantum Jensen-Shannon divergence

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Quantum divergences with p-power means