Bell inequalities with auxiliary communication |
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Authors: | Bacon D Toner B F |
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Institution: | Institute for Quantum Information, California Institute of Technology, Pasadena, CA 91125, USA. dabacon@cs.caltech.edu |
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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. |
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