Trace Functions with Applications in Quantum Physics

Frank Hansen

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We consider both known and not previously studied trace functions with applications in quantum physics. By using perspectives we obtain convexity statements for different notions of residual entropy, including the entropy gain of a quantum channel studied by Holevo and others. We give new proofs of Carlen-Lieb's concavity/convexity theorems for certain trace functions, by making use of the theory of operator monotone functions. We then apply these methods in a study of new classes of trace functions.

Original languageEnglish
Pages (from-to)807-818
Number of pages12
JournalJournal of Statistical Physics
Issue number3
Publication statusPublished - 2014 Feb


  • Convexity
  • Entropy gain
  • Operator monotone function
  • Residual entropy
  • Trace function

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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