From quasi-entropy to skew information

D. Petz, V. E.S. SzabÓ

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

This paper gives an overview about particular quasi-entropies, generalized quantum covariances, quantum Fisher informations, skew informations and their relations. The point is the dependence on operator monotone functions. It is proven that a skew information is the Hessian of a quasi-entropy. The skew information and some inequalities are extended to a von Neumann algebra setting.

Original languageEnglish
Pages (from-to)1421-1430
Number of pages10
JournalInternational Journal of Mathematics
Volume20
Issue number11
DOIs
Publication statusPublished - Nov 1 2009

Keywords

  • Operator monotone functions
  • Quantum Fisher information
  • Quantum covariance

ASJC Scopus subject areas

  • Mathematics(all)

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