Showing math-phShow all
3 papers · 1 filter
math-ph2019
The metric property of the quantum Jensen-Shannon divergence
Dániel Virosztek
In this short note, we prove that the square root of the quantum Jensen-Shannon divergence is a true metric on the cone of positive matrices, and hence in particular on the quantum…
math-ph2019
Quantum Hellinger distances revisited
József Pitrik, Dániel Virosztek
This short note aims to study quantum Hellinger distances investigated recently by Bhatia et al. [Lett. Math. Phys. 109 (2019), 1777-1804] with a particular emphasis on barycenters…
math-ph2016
Quantum -divergence preserving maps on positive semidefinite operators acting on finite dimensional Hilbert spaces
Dániel Virosztek
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 …