Quantum covariance, quantum fisher information, and the uncertainty relations

Paolo Gibilisco, Funio Hiai, Dénes Petz

Research output: Contribution to journalArticle

38 Citations (Scopus)


In this paper, the relation between quantum covariances and quantum Fisher informations is studied. This study is applied to generalize a recently proved uncertainty relation based on quantum Fisher information. The proof given here considerably simplifies the previously proposed proofs and leads to more general inequalities.

Original languageEnglish
Pages (from-to)439-443
Number of pages5
JournalIEEE Transactions on Information Theory
Issue number1
Publication statusPublished - Jan 22 2009


  • Generalized variance
  • Operator monotone functions
  • Quantum Fisher information
  • Quantum covariance
  • Uncertainty principle

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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