Quantum -divergence preserving maps on positive semidefinite operators acting on finite dimensional Hilbert spaces
arXiv:1602.06942 · doi:10.1016/j.laa.2016.03.031
Abstract
We determine the structure of all bijections on the cone of positive semidefinite operators which preserve the quantum -divergence for an arbitrary strictly convex function defined on the positive halfline. It turns out that any such transformation is implemented by either a unitary or an antiunitary operator.
v2: some typos corrected v3: improved presentation and some new references v4: accepted manuscript version