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arXiv · 1601.06529

Maps on quantum states preserving Bregman and Jensen divergences

Dániel Virosztek
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Abstract

We describe the structure of the bijective transformations on the set of density operators which preserve the Bregman $f$-divergence for an arbitrary differentiable strictly convex function $f.$ Furthermore, we determine the preservers of the Jensen $f$-divergence in the case when the generating function $f$ belongs to a recently introduced function class called Matrix Entropy Class.

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Dániel Virosztek. 2016-07-01. Maps on quantum states preserving Bregman and Jensen divergences. https://doi.org/10.1007/s11005-016-0868-0

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