Entropic Bell Inequalities

Details Entropic Bell Inequalities Entropic Bell Inequalities

1996-08-29

arxiv.org/abs/quant-ph/9608047v2

Phys.Rev. A55 (1997) 3371

Physics

Quantum Physics

4 pages RevTeX, 2 figures. Minor revisions. To appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.55.3371

We derive entropic Bell inequalities from considering entropy Venn diagrams. These entropic inequalities, akin to the Braunstein-Caves inequalities, are violated for a quantum mechanical Einstein-Podolsky-Rosen pair, which implies that the conditional entropies of Bell variables must be negative in this case. This suggests that the satisfaction of entropic Bell inequalities is equivalent to the non-negativity of conditional entropies as a necessary condition for separability.

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