On separability of quantum states and the violation of Bell-type inequalities

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dc.creatorLoubenets, Elena R.
dc.date2003-10-19
dc.date2003-11-15
dc.date.accessioned2026-07-07T06:27:46Z
dc.date.available2026-07-07T06:27:46Z
dc.descriptionIn contrast to the wide-spread opinion that any separable quantum state satisfies every classical probabilistic constraint, we present a simple example where a separable quantum state does not satisfy the original Bell inequality although the latter inequality, in its perfect correlation form, is valid for all joint classical measurements. In a very general setting, we discuss inequalities for joint experiments upon a bipartite quantum system in a separable state. We derive quantum analogues of the original Bell inequality and specify the conditions sufficient for a separable state to satisfy the original Bell inequality. We introduce the extended CHSH inequality and prove that, for any separable quantum state, this inequality holds for a variety of linear combinations.
dc.description13 pages, extended version
dc.identifierhttps://arxiv.org/abs/quant-ph/0310116
dc.identifierhttp://arxiv.org/abs/quant-ph/0310116
dc.identifierPhys. Rev. A 69, 042102 (2004); also in Virtual J. Quantum Information 4 (2004), No 4
dc.identifierdoi:10.1103/PhysRevA.69.042102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97506
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleOn separability of quantum states and the violation of Bell-type inequalities
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