Non-locality distillation and post-quantum theories with trivial communication complexity

dc.creatorBrunner, Nicolas
dc.creatorSkrzypczyk, Paul
dc.date2009-01-26
dc.date2009-03-31
dc.date.accessioned2026-07-07T13:08:44Z
dc.date.available2026-07-07T13:08:44Z
dc.descriptionWe first present a protocol for deterministically distilling non-locality, building upon a recent result of Forster et al. [Phys. Rev. Lett. 102, 120401 (2009)]. Our protocol, which is optimal for two-copy distillation, works efficiently for a specific class of post-quantum non-local boxes, which we term correlated non-local boxes. In the asymptotic limit, all correlated non-local boxes are distilled to the maximally non-local box of Popescu and Rohrlich. Then, taking advantage of a result of Brassard \textit{et al.} [Phys. Rev. Lett. 96, 250401 (2006)] we show that all correlated non-local boxes make communication complexity trivial, and therefore appear very unlikely to exist in nature. Astonishingly, some of these non-local boxes are arbitrarily close to the set of classical correlations. This result therefore gives new insight to the problem of why quantum non-locality is limited.
dc.description4 pages, 4 figures. To Appear in PRL
dc.identifierhttps://arxiv.org/abs/0901.4070
dc.identifierhttp://arxiv.org/abs/0901.4070
dc.identifierPhys. Rev. Lett. 102, 160403 (2009)
dc.identifierdoi:10.1103/PhysRevLett.102.160403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228515
dc.subjectQuantum Physics
dc.titleNon-locality distillation and post-quantum theories with trivial communication complexity
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