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math-ph2019★ 55 cited
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★ 15 cited
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…