dorsal/arxiv
View SchemaBounding the set of quantum correlations
| Authors | Miguel Navascues, Stefano Pironio, Antonio Acin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607119 |
| URL | https://arxiv.org/abs/quant-ph/0607119 |
| DOI | 10.1103/PhysRevLett.98.010401 |
| Journal | Phys. Rev. Lett. 98, 010401 (2007) |
Abstract
We introduce a hierarchy of conditions necessarily satisfied by any distribution P(ab) representing the probabilities for two separate observers to obtain outcomes a and b when making local measurements on a shared quantum state. Each condition in this hierarchy is formulated as a semidefinite program. Our approach can be used to obtain upper-bounds on the quantum violation of an arbitrary Bell inequality. It yields, for instance, tight bounds for the violations of the Collins et al. inequalities.
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"abstract": "We introduce a hierarchy of conditions necessarily satisfied by any\ndistribution P(ab) representing the probabilities for two separate observers to\nobtain outcomes a and b when making local measurements on a shared quantum\nstate. Each condition in this hierarchy is formulated as a semidefinite\nprogram. Our approach can be used to obtain upper-bounds on the quantum\nviolation of an arbitrary Bell inequality. It yields, for instance, tight\nbounds for the violations of the Collins et al. inequalities.",
"arxiv_id": "quant-ph/0607119",
"authors": [
"Miguel Navascues",
"Stefano Pironio",
"Antonio Acin"
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"quant-ph"
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"doi": "10.1103/PhysRevLett.98.010401",
"journal_ref": "Phys. Rev. Lett. 98, 010401 (2007)",
"title": "Bounding the set of quantum correlations",
"url": "https://arxiv.org/abs/quant-ph/0607119"
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