Maps on quantum states preserving Bregman and Jensen divergences (1601.06529v2)

Published 25 Jan 2016 in math-ph, math.FA, math.MP, and quant-ph

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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Authors (1)

Dániel Virosztek

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