Bacon D, Toner B F
Institute for Quantum Information, California Institute of Technology, Pasadena, CA 91125, USA.
Phys Rev Lett. 2003 Apr 18;90(15):157904. doi: 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.
模拟量子理论所产生的相关性的通信成本是多少？我们将贝尔不等式推广到通过固定数量的经典通信增强的局部实在论理论的情形。假设两方选择M个二值测量之一并交换1比特信息。我们给出了M = 2时的完整不等式集，以及M = 3时联合关联可观测量的完整不等式集。我们发现量子理论所产生的相关性满足这两组不等式。因此，在这两种情形下，1比特通信就足以模拟量子相关性。
