dorsal/arxiv
View SchemaSymmetries of the Bell correlation inequalities
| Authors | C. Sliwa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305190 |
| URL | https://arxiv.org/abs/quant-ph/0305190 |
| DOI | 10.1016/S0375-9601(03)01115-0 |
Abstract
Bell correlation inequalities for two sites and 2+n or 3+3 two-way measurements ("dichotomic observables") are considered. In the 2+n case, any facet of the classical experience polytope is defined by a CHSH inequality involving only two pairs of the observables. In the 3+3 case, contrary to earlier results, the action of the symmetry group reduces the set of all Bell inequalities to just 3 orbits, only one of them being "new" (not known from the 2+2 case). A detailed calculation for the singlet state of two qubits reveals the configurations of a maximal violation for this class of inequalities.
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"abstract": "Bell correlation inequalities for two sites and 2+n or 3+3 two-way\nmeasurements (\"dichotomic observables\") are considered. In the 2+n case, any\nfacet of the classical experience polytope is defined by a CHSH inequality\ninvolving only two pairs of the observables. In the 3+3 case, contrary to\nearlier results, the action of the symmetry group reduces the set of all Bell\ninequalities to just 3 orbits, only one of them being \"new\" (not known from the\n2+2 case). A detailed calculation for the singlet state of two qubits reveals\nthe configurations of a maximal violation for this class of inequalities.",
"arxiv_id": "quant-ph/0305190",
"authors": [
"C. Sliwa"
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"quant-ph"
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"doi": "10.1016/S0375-9601(03)01115-0",
"title": "Symmetries of the Bell correlation inequalities",
"url": "https://arxiv.org/abs/quant-ph/0305190"
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