Strengthened Bell inequalities for orthogonal spin directions

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dc.creatorUffink, J.
dc.creatorSeevinck, M.
dc.date2006-04-19
dc.date2007-11-28
dc.date.accessioned2026-07-07T09:22:36Z
dc.date.available2026-07-07T09:22:36Z
dc.descriptionWe strengthen the bound on the correlations of two spin-1/2 particles (qubits) in separable (non-entangled) states for locally orthogonal spin directions by much tighter bounds than the well-known Bell inequality. This provides a sharper criterion for the experimental distinction between entangled and separable states, and even one which is a necessary and sufficient condition for separability. However, these improved bounds do not apply to local hidden-variable theories, and hence they provide a criterion to test the correlations allowed by local hidden-variable theories against those allowed by separable quantum states. Furthermore, these bounds are stronger than some recent alternative experimentally accessible entanglement criteria. We also address the issue of finding a finite subset of these inequalities that would already form a necessary and sufficient condition for non-entanglement. For mixed state we have not been able to resolve this, but for pure states a set of six inequalities using only three sets of orthogonal observables is shown to be already necessary and sufficient for separability.
dc.descriptionv2: Considerably changed, many new and stronger results v3: Published version; To appear in Physics Letters A. Online available from publishers website
dc.identifierhttps://arxiv.org/abs/quant-ph/0604145
dc.identifierhttp://arxiv.org/abs/quant-ph/0604145
dc.identifierPhysics Letters A, vol. 372, 1205 (2008)
dc.identifierdoi:10.1016/j.physleta.2007.09.033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155430
dc.subjectQuantum Physics
dc.titleStrengthened Bell inequalities for orthogonal spin directions
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