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 2009

Fingerprint

Skew
Entropy
Operator Monotone Function
Quantum Fisher Information
Generalized Entropy
Von Neumann Algebra

Keywords

  • Operator monotone functions
  • Quantum covariance
  • Quantum Fisher information

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

From quasi-entropy to skew information. / Petz, D.; SzabÓ, V. E S.

In: International Journal of Mathematics, Vol. 20, No. 11, 11.2009, p. 1421-1430.

Research output: Contribution to journalArticle

Petz, D. ; SzabÓ, V. E S. / From quasi-entropy to skew information. In: International Journal of Mathematics. 2009 ; Vol. 20, No. 11. pp. 1421-1430.
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