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Bacon D, Toner BF. Bell inequalities with auxiliary communication. Phys Rev Lett. 2003;90(15):157904doi: 10.1103/PhysRevLett.90.157904.
Bacon, D., & Toner, B. F. (2003). Bell inequalities with auxiliary communication. Physical review letters, 90(15), 157904. https://doi.org/10.1103/PhysRevLett.90.157904
Bacon, D, and Toner, B F. "Bell inequalities with auxiliary communication." Physical review letters vol. 90,15 (2003): 157904. doi: https://doi.org/10.1103/PhysRevLett.90.157904
Bacon D, Toner BF. Bell inequalities with auxiliary communication. Phys Rev Lett. 2003 Apr 18;90(15):157904. doi: 10.1103/PhysRevLett.90.157904. Epub 2003 Apr 18. PMID: 12732073.
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Phys Rev Lett. 2003 Apr 18;90(15):157904. doi: 10.1103/PhysRevLett.90.157904. Epub 2003 Apr 18.

Bell inequalities with auxiliary communication.

Physical review letters

D Bacon, B F Toner

Affiliations

  1. Institute for Quantum Information, California Institute of Technology, Pasadena, CA 91125, USA. [email protected]

PMID: 12732073 DOI: 10.1103/PhysRevLett.90.157904

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.

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