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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. doi:10.1103/PhysRevLett.90.157904.

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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.

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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
Issue or Number:15
Record Number:CaltechAUTHORS:BACprl03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1305
Deposited By: Archive Administrator
Deposited On:09 Jan 2006
Last Modified:08 Nov 2021 19:09

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