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Entropic Bell inequalities

Cerf, N. J. and Adami, C. (1997) Entropic Bell inequalities. Physical Review A, 55 (5). pp. 3371-3374. ISSN 1050-2947. doi:10.1103/PhysRevA.55.3371.

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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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Adami, C.0000-0002-2915-9504
Additional Information:©1997 The American Physical Society Received 29 August 1996 This work was supported in part by NSF Grant Nos. PHY 94-12818 and PHY 94-20470, and by a grant from DARPA/ARO through the QUIC Program (No. DAAH04-96-1-3086).
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Deposited On:20 Oct 2006
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