Remainder terms for some quantum entropy inequalities

Eric A. Carlen, Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy. For these we state conditions for equality, and we prove some new error bounds away from equality, including an improved version of Pinsker's inequality.

Original languageEnglish (US)
Article number042201
JournalJournal of Mathematical Physics
Issue number4
StatePublished - Apr 23 2014

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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