Metrics induced by Jensen-Shannon and related divergences on positive definite matrices

We study metric properties of symmetric divergences on Hermitian positive definite matrices. In particular, we prove that the square root of these divergences is a distance metric. As a corollary we obtain a proof of the metric property for Quantum Jensen-Shannon-(Tsallis) divergences (parameterized...

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Veröffentlicht in:	Linear algebra and its applications 2021-05, Vol.616, p.125-138
1. Verfasser:	Sra, Suvrit
Format:	Artikel
Sprache:	eng
Schlagworte:	Jensen-Rényi divergence Jensen-Shannon divergence Linear algebra Mathematical analysis Matrices (mathematics) Positive definite matrices Quantum information theory Triangle inequality
Online-Zugang:	Volltext
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