Quantum $f$-divergence preserving maps on positive semidefinite operators acting on finite dimensional Hilbert spaces
Mathematical Physics
2016-03-31 v4 Functional Analysis
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1602.06942,
title = {Quantum $f$-divergence preserving maps on positive semidefinite operators acting on finite dimensional Hilbert spaces},
author = {Dániel Virosztek},
journal= {arXiv preprint arXiv:1602.06942},
year = {2016}
}
Comments
v2: some typos corrected v3: improved presentation and some new references v4: accepted manuscript version