A new inequality for the von Neumann entropy

Details A new inequality for the von Neumann entropy A new inequality for the von Neumann entropy

2004-06-22

arxiv.org/abs/quant-ph/0406162v1

Commun Math Phys, vol 259, pp 129-138 (2005).

Physics

Quantum Physics

8 pages, 1 eps figure

Scientific paper

10.1007/s00220-005-1361-2

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.

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