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A Conjecture on the Amount of Non-Locality

By Alexei Grinbaum


Imagine a world in which there exist physical resources for non-local correlations whose CHSH value lies between 2 and $X\leq 4$. 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a possible motivation for quantum mechanical resources obeying the Tsirelson bound $X=2\sqrt{2}$.Comment: Paper withdrawn. This line of research now continues with 1501.0271

Topics: Quantum Physics
Year: 2015
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