Maps on quantum states preserving Bregman and Jensen divergences
  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. 
D\'aniel Virosztek
math-ph math.FA math.MP quant-ph