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Bound on genuine multipartite correlations from the principle of information causality

journal contribution
posted on 2011-11-01, 00:00 authored by Yang Xiang, W Ren
Quantum mechanics is not the unique no-signaling theory which is endowed with stronger-than-classical correlations, and there exists a broad class of no-signaling theories allowing even stronger-than-quantum correlations. The principle of information causality has been suggested to distinguish quantum theory from these nonphysical theories, to-gether with an elegant information-theoretic proof of the quantum bound of two-particle correlations. In this work, we extend this to genuine N-particle correlations that cannot be reduced to mixtures of states in which a smaller number of particles are entangled. We first express Svetlichny's inequality in terms of multipartite no-signaling boxes, then prove that the strongest genuine multipartite correlations lead to the maximal violation of information causality. The maximal genuine multipartite correlations under the con-straint of information causality is found to be equal to the quantum mechanical bound. This result consolidates information causality as a physical principle defining the possible correlations allowed by nature, and provides intriguing insights into the limits of genuine multipartite correlations in quantum theory. © Rinton Press.

History

Journal

Quantum information and computation

Volume

11

Issue

11-12

Pagination

948 - 956

Publisher

Rinton Press

Location

Princeton, N.J.

ISSN

1533-7146

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2011, Rinton Press, Incorporated