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Interconversion of nonlocal correlations

2005/06/22 by Nick S. Jones, Lluis Masanes, Lluís Masanes · 3 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.1103/physreva.72.052312

published as Phys. Rev. A 72, 052312 (2005) · 7 pages + appendix, single column

arxiv created 2005/06/22 · openalex publication_date 2005/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the correlations that arise when two separated parties perform measurements on systems they hold locally. We restrict ourselves to those correlations with which arbitrarily fast transmission of information is impossible. These correlations are called nonsignaling. We allow the measurements to be chosen from sets of an arbitrary size, but promise that each measurement has only two possible outcomes. We find the structure of this convex set of nonsignaling correlations by characterizing its extreme points. Taking an information-theoretic view, we prove that all of these extreme correlations are interconvertible. This suggests that the simplest extremal nonlocal distribution (called a PR box) might be the basic unit of bipartite nonlocality. We also show that this unit of nonlocality is sufficient to simulate all bipartite quantum states when measured with two outcome measurements.

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