Bell Inequalities with Auxiliary Communication
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 twooutcome measurements and exchange 1bit 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.
 Publication:

Physical Review Letters
 Pub Date:
 April 2003
 DOI:
 10.1103/PhysRevLett.90.157904
 arXiv:
 arXiv:quantph/0208057
 Bibcode:
 2003PhRvL..90o7904B
 Keywords:

 03.67.Mn;
 03.65.Ta;
 03.65.Ud;
 03.67.Hk;
 Entanglement production characterization and manipulation;
 Foundations of quantum mechanics;
 measurement theory;
 Entanglement and quantum nonlocality;
 Quantum communication;
 Quantum Physics
 EPrint:
 5 pages