Bell inequalities for continuous-variable correlations

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dc.creatorCavalcanti, E. G.
dc.creatorFoster, C. J.
dc.creatorReid, M. D.
dc.creatorDrummond, P. D.
dc.date2007-05-10
dc.date2007-11-24
dc.date.accessioned2026-07-07T08:44:21Z
dc.date.available2026-07-07T08:44:21Z
dc.descriptionWe derive a new class of correlation Bell-type inequalities. The inequalities are valid for any number of outcomes of two observables per each of n parties, including continuous and unbounded observables. We show that there are no first-moment correlation Bell inequalities for that scenario, but such inequalities can be found if one considers at least second moments. The derivation stems from a simple variance inequality by setting local commutators to zero. We show that above a constant detector efficiency threshold, the continuous variable Bell violation can survive even in the macroscopic limit of large n. This method can be used to derive other well-known Bell inequalities, shedding new light on the importance of non-commutativity for violations of local realism.
dc.description4 pages, 1 figure. v2: New results on detector efficiencies and macroscopic limit, new co-author, changed title and abstract, changed figure, added journal reference and DOI
dc.identifierhttps://arxiv.org/abs/0705.1385
dc.identifierhttp://arxiv.org/abs/0705.1385
dc.identifierPhys. Rev. Lett. 99, 210405 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.210405
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142628
dc.subjectQuantum Physics
dc.titleBell inequalities for continuous-variable correlations
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