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Bell Inequalities with Auxiliary Communication

Bacon, D. and Toner, B. F. (2003) Bell Inequalities with Auxiliary Communication. Physical Review Letters, 90 (15). Art. no. 157904. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:BACprl03

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Abstract

What is the communication cost of simulating the correlations produced by quantum theory? We generalize Bell inequalities to the setting of local realistic theories augmented by a fixed amount of classical communication. Suppose two parties choose one of M two-outcome measurements and exchange 1 bit of information. We present the complete set of inequalities for M = 2, and the complete set of inequalities for the joint correlation observable for M = 3. We find that correlations produced by quantum theory satisfy both of these sets of inequalities. One bit of communication is therefore sufficient to simulate quantum correlations in both of these scenarios.


Item Type:Article
Additional Information:©2003 The American Physical Society (Received 11 August 2002; published 18 April 2003) We would like to acknowledge conversations with Allison Coates. This work was supported by the National Science Foundation under Grant No. EIA-0086038.
Subject Keywords:Bell theorem; quantum communication; measurement theory; quantum entanglement; information theory; correlation theory
Record Number:CaltechAUTHORS:BACprl03
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BACprl03
Alternative URL:http://dx.doi.org/10.1103/PhysRevLett.90.157904
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1305
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:09 Jan 2006
Last Modified:26 Dec 2012 08:43

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