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Quantum correlations from simple assumptions

2018/01/31 by Adán Cabello · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physreva.100.032120

published as Phys. Rev. A 100, 032120 (2019) · 15 pages, 7 figures

arxiv created 2019/09/24 · arxiv updated 2019/09/26

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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