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On the Riemannian metric on the space of density matrices

✍ Scribed by Dittmann, Jochen


Book ID
122404920
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
475 KB
Volume
36
Category
Article
ISSN
0034-4877

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On the Riemannian metric of Ξ±-entropies
✍ DΓ©nes Petz; Hiroshi Hasegawa πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 209 KB

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.