Popescu-Rohrlich Boxes in Quantum Measure Theory
arXiv:quant-ph/0605253 · doi:10.1088/1751-8113/40/26/011
Abstract
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.
10 pages, 1 figure, LaTeX, acknowledgement added; Dedicated to Rafael Sorkin on the occasion of his 60th birthday