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Nonlocality distillation and quantum voids
(American Physical Society, 2019-07-01) Brito, Samuraí Gomes de Aguiar; Moreno, M. G. M.; Rai, Ashutosh; Araújo, Rafael Chaves Souto
Via nonlocality distillation, a number of copies of a given nonlocal correlation can be turned into a new correlation displaying a higher degree of nonlocality. Apart from its clear relevance in situations where nonlocality is a resource, distillation protocols also play an important role in the understanding of informationtheoretical principles for quantum theory. Here, we derive a necessary condition for nonlocality distillation from two copies and apply it, among other results, to show that one-dimensional (1D) and 2D quantum voids—faces of the nonlocal simplex set with no quantum realization—can be distilled up to PR boxes. With that, we generalize previous results in the literature, for instance, showing a broad class of postquantum correlations that make communication complexity trivial and violate the information causality principle