A new inequality for the von Neumann entropy

Abstract

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.

8 pages, 1 eps figure

References in corpus (2)

• Structure of states which satisfy strong subadditivity of quantum entropy with equality
• Inequalities for Quantum Entropy: A Review with Conditions for Equality

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