Popescu-Rohrlich Boxes in Quantum Measure Theory

Details Popescu-Rohrlich Boxes in Quantum Measure Theory Popescu-Rohrlich Boxes in Quantum Measure Theory

2006-05-31

arxiv.org/abs/quant-ph/0605253v2

J. Phys. A: Math. Theor. 40 (2007) 7255-7264

Physics

Quantum Physics

10 pages, 1 figure, LaTeX, acknowledgement added; Dedicated to Rafael Sorkin on the occasion of his 60th birthday

Scientific paper

10.1088/1751-8113/40/26/011

Two results are proved at the quantal level in Sorkin's hierarchy of measure theories. One is a strengthening of an existing bound on the correlations in the EPR-Bohm setup under the assumption that the probabilities admit a strongly positive joint quantal measure. It is also proved that any set of no-signalling probabilities, for two distant experimenters with a choice of two alternative experiments each and two possible outcomes per experiment, admits a joint quantal measure, though one that is not necessarily strongly positive.

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