From quasi-entropy to various quantum information quantities

Fumio Hiai, Dénes Petz

Research output: Contribution to journalArticle

12 Citations (Scopus)


The subject is applications of quasi-entropy in finite-dimensional spaces to many important quantities in quantum information. Operator monotone functions and relative modular operators are used. The origin is relative entropy, and f -divergence, monotone metrics, covariance and χ 2-divergence are the most important particular cases. Monotone metrics with two parameters are introduced and characterized by their joint convexity property.

Original languageEnglish
Pages (from-to)525-542
Number of pages18
JournalPublications of the Research Institute for Mathematical Sciences
Issue number3
Publication statusPublished - Oct 4 2012


  • F -divergenceχ -divergence
  • Generalized covariance
  • Monotone metric
  • Quasi-entropy

ASJC Scopus subject areas

  • Mathematics(all)

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