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Popescu-Rohrlich Correlations as a Unit of Nonlocality

2005/06/30 by Jonathan Barrett, Stefano Pironio · 3 citations
Chemistry · Computer Science · Physics and Astronomy · #Molecular spectroscopy and chirality #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.1103/physrevlett.95.140401

published as Phys. Rev. Lett. 95, 140401 (2005) · 5 pages, no figures. v2: minor modifications

openalex publication_date 2005/09/29 · arxiv created 2006/10/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A set of nonlocal correlations that have come to be known as a Popescu-Rohrlich (PR) box suggest themselves as a natural unit of nonlocality, much as a singlet is a natural unit of entanglement. We present two results relevant to this idea. One is that a wide class of multipartite correlations can be simulated using local operations on PR boxes only. We show this with an explicit scheme, which has the interesting feature that the number of PR boxes required is related to the computational resources necessary to represent a function defining the multipartite box. The second result is that there are quantum multipartite correlations, arising from measurements on a cluster state, that cannot be simulated with n PR boxes, for any n.

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