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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. http://resolver.caltech.edu/CaltechAUTHORS:CERpra97a

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Abstract

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.


Item Type:Article
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).
Record Number:CaltechAUTHORS:CERpra97a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CERpra97a
Alternative URL:http://dx.doi.org/10.1103/PhysRevA.55.3371
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5515
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:20 Oct 2006
Last Modified:26 Dec 2012 09:13

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