dorsal/arxiv
View SchemaMonogamy of nonlocal quantum correlations
| Authors | Ben Toner |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601172 |
| URL | https://arxiv.org/abs/quant-ph/0601172 |
| DOI | 10.1098/rspa.2008.0149 |
| Journal | Proc. R. Soc. A 465, 59--69 (2009) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We describe a new technique for obtaining Tsirelson bounds, or upper bounds on the quantum value of a Bell inequality. Since quantum correlations do not allow signaling, we obtain a Tsirelson bound by maximizing over all no-signaling probability distributions. This maximization can be cast as a linear program. In a setting where three parties, A, B, and C, share an entangled quantum state of arbitrary dimension, we: (i) bound the trade-off between AB's and AC's violation of the CHSH inequality, and (ii) demonstrate that forcing B and C to be classically correlated prevents A and B from violating certain Bell inequalities, relevant for interactive proof systems and cryptography.
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"abstract": "We describe a new technique for obtaining Tsirelson bounds, or upper bounds\non the quantum value of a Bell inequality. Since quantum correlations do not\nallow signaling, we obtain a Tsirelson bound by maximizing over all\nno-signaling probability distributions. This maximization can be cast as a\nlinear program. In a setting where three parties, A, B, and C, share an\nentangled quantum state of arbitrary dimension, we: (i) bound the trade-off\nbetween AB\u0027s and AC\u0027s violation of the CHSH inequality, and (ii) demonstrate\nthat forcing B and C to be classically correlated prevents A and B from\nviolating certain Bell inequalities, relevant for interactive proof systems and\ncryptography.",
"arxiv_id": "quant-ph/0601172",
"authors": [
"Ben Toner"
],
"categories": [
"quant-ph"
],
"doi": "10.1098/rspa.2008.0149",
"journal_ref": "Proc. R. Soc. A 465, 59--69 (2009)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Monogamy of nonlocal quantum correlations",
"url": "https://arxiv.org/abs/quant-ph/0601172"
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