Monotonicity of a relative Rényi entropy

Rupert L. Frank, Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

167 Scopus citations


We show that a recent definition of relative Rényi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of Müller-Lennert et al. ["On quantum Rényi entropies: A new definition, some properties," J. Math. Phys.54, 122203 (2013); e-print arXiv:1306.3142v1; see also e-print arXiv:1306.3142].

Original languageEnglish (US)
Article number122201
JournalJournal of Mathematical Physics
Issue number12
StatePublished - Dec 3 2013

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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