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Quantum Information Processing

Nonlocality distillation for high-dimensional correlated boxes

Guo‐Zhu Pan, Chao Li, Ming Yang, Gang Zhang, Zhuo‐Liang Cao

Published Feb 17, 2015• 5 citations
Publisher
DOI
10.1007/s11128-015-0942-z

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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 information-theoretical 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 (1D1\mathrm{D}1D) and 2D2\mathrm{D}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.