dorsal/arxiv
View SchemaPopescu-Rohrlich Boxes in Quantum Measure Theory
| Authors | Matthew Barnett, Fay Dowker, David Rideout |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605253 |
| URL | https://arxiv.org/abs/quant-ph/0605253 |
| DOI | 10.1088/1751-8113/40/26/011 |
| Journal | J. Phys. A: Math. Theor. 40 (2007) 7255-7264 |
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.
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"abstract": "Two results are proved at the quantal level in Sorkin\u0027s hierarchy of measure\ntheories. One is a strengthening of an existing bound on the correlations in\nthe EPR-Bohm setup under the assumption that the probabilities admit a strongly\npositive joint quantal measure. It is also proved that any set of no-signalling\nprobabilities, for two distant experimenters with a choice of two alternative\nexperiments each and two possible outcomes per experiment, admits a joint\nquantal measure, though one that is not necessarily strongly positive.",
"arxiv_id": "quant-ph/0605253",
"authors": [
"Matthew Barnett",
"Fay Dowker",
"David Rideout"
],
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"quant-ph"
],
"doi": "10.1088/1751-8113/40/26/011",
"journal_ref": "J. Phys. A: Math. Theor. 40 (2007) 7255-7264",
"title": "Popescu-Rohrlich Boxes in Quantum Measure Theory",
"url": "https://arxiv.org/abs/quant-ph/0605253"
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