Jointly convex quantum Jensen divergences
Mathematical Physics
2024-08-20 v2 Functional Analysis
math.MP
Quantum Physics
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].
Cite
@article{arxiv.1712.05324,
title = {Jointly convex quantum Jensen divergences},
author = {Dániel Virosztek},
journal= {arXiv preprint arXiv:1712.05324},
year = {2024}
}
Comments
v2: accepted manuscript version