dorsal/arxiv
View SchemaMonogamy of Bell correlations and Tsirelson's bound
| Authors | Benjamin Toner, Frank Verstraete |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611001 |
| URL | https://arxiv.org/abs/quant-ph/0611001 |
Abstract
We consider three parties, A, B, and C, each performing one of two local measurements on a shared quantum state of arbitrary dimension. We characterize the trade-off between the nonlocality of the Bell correlations observed by AB and of those observed by AC. This generalizes Tsirelson's bound on the quantum value of the CHSH inequality, the latter being recovered when C is completely uncorrelated with AB. We also discuss the trade-off between Bell violations and local expectation values of observables that anticommute with the ones used in the Bell test.
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"abstract": "We consider three parties, A, B, and C, each performing one of two local\nmeasurements on a shared quantum state of arbitrary dimension. We characterize\nthe trade-off between the nonlocality of the Bell correlations observed by AB\nand of those observed by AC. This generalizes Tsirelson\u0027s bound on the quantum\nvalue of the CHSH inequality, the latter being recovered when C is completely\nuncorrelated with AB. We also discuss the trade-off between Bell violations and\nlocal expectation values of observables that anticommute with the ones used in\nthe Bell test.",
"arxiv_id": "quant-ph/0611001",
"authors": [
"Benjamin Toner",
"Frank Verstraete"
],
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"quant-ph"
],
"title": "Monogamy of Bell correlations and Tsirelson\u0027s bound",
"url": "https://arxiv.org/abs/quant-ph/0611001"
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