On the Riemannian Metric of α-Entropies of Density Matrices

D. Petz, Hiroshi Hasegawa

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

The Riemannian metric induced by quantum α-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.

Original languageEnglish
Pages (from-to)221-225
Number of pages5
JournalLetters in Mathematical Physics
Volume38
Issue number2
Publication statusPublished - 1996

Fingerprint

Quantum Entropy
Tangent vector
Density Matrix
Riemannian Metric
tangents
Skew
Monotone
Entropy
entropy

Keywords

  • Density matrices
  • Riemannian metrics
  • Statistical mechanics

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

On the Riemannian Metric of α-Entropies of Density Matrices. / Petz, D.; Hasegawa, Hiroshi.

In: Letters in Mathematical Physics, Vol. 38, No. 2, 1996, p. 221-225.

Research output: Contribution to journalArticle

Petz, D. ; Hasegawa, Hiroshi. / On the Riemannian Metric of α-Entropies of Density Matrices. In: Letters in Mathematical Physics. 1996 ; Vol. 38, No. 2. pp. 221-225.
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