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Jointly convex quantum Jensen divergences

arXiv

Authors: Dániel Virosztek

Year

2017

Paper ID

24497

Status

Preprint

Abstract Read

~2 min

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Abstract

We investigate the quantum Jensen divergences from the viewpoint of joint convexity. It turns out that the set of the functions which generate jointly convex quantum Jensen divergences on positive matrices coincides with the Matrix Entropy Class which has been introduced by Chen and Tropp quite recently in [Electron. J. Probab. 19 (2014), 1-30].

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We investigate the quantum Jensen divergences from the viewpoint of joint convexity.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1712.05324 [2] arXiv https://arxiv.org/abs/1712.05324 [3] Publisher https://arxiv.org/abs/1712.05324

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