A new inequality for the von Neumann entropy

Noah Linden, Andreas Winter

Research output: Contribution to journalReview articlepeer-review

41 Scopus citations


Strong subadditivity of von Neumann entropy, proved in 1973 by Lieb and Ruskai, is a cornerstone of quantum coding theory. All other known inequalities for entropies of quantum systems may be derived from it. Here we prove a new inequality for the von Neumann entropy which we prove is independent of strong subadditivity: it is an inequality which is true for any four party quantum state, provided that it satisfies three linear relations (constraints) on the entropies of certain reduced states.

Original languageEnglish
Pages (from-to)129-138
Number of pages10
JournalCommunications in Mathematical Physics
Issue number1
StatePublished - Oct 2005
Externally publishedYes


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