Bell Inequalities with Auxiliary Communication

Details Bell Inequalities with Auxiliary Communication Bell Inequalities with Auxiliary Communication

2002-08-09

arxiv.org/abs/quant-ph/0208057v2

Phys. Rev. Lett. 90, 157904 (2003)

Physics

Quantum Physics

5 pages

Scientific paper

10.1103/PhysRevLett.90.157904

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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