Phys. Rev. A 55, 3371 - 3374 (1997)Entropic Bell inequalities |
N. J. Cerf1 and C. Adami1,2
1W. K. Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125
2Computation and Neural Systems, California Institute of Technology, Pasadena, California 91125
Received 29 August 1996
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.
©1997 The American Physical Society
URL: http://link.aps.org/abstract/PRA/v55/p3371
DOI: 10.1103/PhysRevA.55.3371
PACS: 03.65.Bz, 05.30.-d, 89.70.+c
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