Quantum $f$-divergence preserving maps on positive semidefinite   operators acting on finite dimensional Hilbert spaces
  We determine the structure of all bijections on the cone of positive semidefinite operators which preserve the quantum $f$-divergence for an arbitrary strictly convex function $f$ defined on the positive halfline. It turns out that any such transformation is implemented by either a unitary or an antiunitary operator. 
D\'aniel Virosztek
math-ph math.FA math.MP quant-ph