Quantum correlations from simple assumptions

Adán Cabello
Phys. Rev. A 100, 032120 – Published 24 September 2019

Abstract

We address the problem of deriving the set of quantum correlations for every Bell and Kochen-Specker (KS) contextuality scenario from simple assumptions. We show that the correlations that are possible according to quantum theory are equal to those possible under the assumptions that there is a nonempty set of correlations for every KS scenario and a statistically independent realization of any two KS experiments. The proof uses tools of the graph-theoretic approach to correlations and deals with Bell nonlocality and KS contextuality in a unified way.

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  • Received 25 November 2018
  • Revised 22 January 2019

DOI:https://doi.org/10.1103/PhysRevA.100.032120

©2019 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsQuantum Information, Science & TechnologyAtomic, Molecular & OpticalInterdisciplinary Physics

Authors & Affiliations

Adán Cabello*

  • Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain and Instituto Carlos I de Física Teórica y Computacional, Universidad de Sevilla, E-41012 Sevilla, Spain

  • *adan@us.es

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Issue

Vol. 100, Iss. 3 — September 2019

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