✦ LIBER ✦

On the Riemannian metric of α-entropies of density matrices

✍ Scribed by Dénes Petz; Hiroshi Hasegawa

Publisher: Springer
Year: 1996
Tongue: English
Weight: 209 KB
Volume: 38
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00398324

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✦ Synopsis

The Riemannian metric induced by quantum s-entropies is proven to be monotone under stochastic mappings on the set of density matrices. The length of tangent vectors is essentially the Wigner-Yanase-Dyson skew information in this setting.

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