A Conjecture on the Amount of Non-Locality

Abstract

Imagine a world in which there exist physical resources for non-local correlations whose CHSH value lies between 2 and $X\le 4$. Assume that such resources can be mixed in some sense. Using Connes's result on the extension of characteristic 1 semi-rings, we conjecture a possible motivation for quantum mechanical resources obeying the Tsirelson bound $X=2\sqrt{2}$.

Paper withdrawn. This line of research now continues with 1501.02710

References in corpus (5)

• Information Causality as a Physical Principle
• Non-locality distillation and post-quantum theories with trivial communication complexity
• Closed sets of non-local correlations
• Implausible Consequences of Superstrong Nonlocality
• Characteristic one, entropy and the absolute point