Quantum Bell Inequalities from Macroscopic Locality

Abstract

We propose a method to generate analytical quantum Bell inequalities based on the principle of Macroscopic Locality. By imposing locality over binary processings of virtual macroscopic intensities, we establish a correspondence between Bell inequalities and quantum Bell inequalities in bipartite scenarios with dichotomic observables. We discuss how to improve the latter approximation and how to extend our ideas to scenarios with more than two outcomes per setting.

6 pages, 3 figures. (Divided into sections, following the style of article.)

References in corpus (8)

• A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
• Bounding the set of quantum correlations
• The uncertainty principle determines the non-locality of quantum mechanics
• Non-locality distillation and post-quantum theories with trivial communication complexity
• Secrecy extraction from no-signalling correlations
• Partial list of bipartite Bell inequalities with four binary settings
• Macroscopically local correlations can violate information causality
• Efficiency of higher dimensional Hilbert spaces for the violation of Bell inequalities