Macroscopic locality with equal bias reproduces with high fidelity a quantum distribution achieving the Tsirelson's bound

摘要

Two physical principles, macroscopic locality (ML) and information causality (IC), so far have been most successful in distinguishing quantum correlations from post-quantum correlations. However, there are also some post-quantum probability distributions which cannot be distinguished with the help of these principles. Thus, it is interesting to see whether consideration of these two principles, separately, along with some additional physically plausible constraints, can explain some interesting quantum features which are otherwise hard to reproduce. In this paper we show that in a Bell-Clauser-Horne-Shimony-Holt scenario, ML along with the constraint of equal bias for the concerned observables, almost reproduces the quantum joint probability distribution corresponding to a maximal quantum Bell violation, which is unique up to relabeling. From this example and earlier work of Cavalcanti, Salles, and Scarani, we conclude that IC and ML are inequivalent physical principles; satisfying one does not imply that the other is satisfied.