The problem of quantum correlations and the totalitarian principle

Author:

Cabello Adán12ORCID

Affiliation:

1. Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain

2. Instituto Carlos I de Física Teórica y Computacional, Universidad de Sevilla, E-41012 Sevilla, Spain

Abstract

The totalitarian principle establishes that ‘anything not forbidden is compulsory’. The problem of quantum correlations is explaining what selects the set of quantum correlations for a Bell and Kochen–Specker (KS) contextuality scenario. Here, we show that two assumptions and a version of the totalitarian principle lead to the quantum correlations. The assumptions are that there is a non-empty set of correlations for any KS contextuality scenario and a statistically independent realization of any two KS experiments. The version of the totalitarian principle says that any correlation not forbidden by these assumptions can be produced. This paper contains a short version of the proof (presented elsewhere) and explores some implications of the result. This article is part of the theme issue ‘Contextuality and probability in quantum mechanics and beyond’.

Funder

The Observer Observed: A Bayesian Route to the Reconstruction of Quantum Theory

Quantum Tools for Information, Computation and Research

Photonic Quantum Information

Conserjería de Conocimiento, Investigación y Universidad, Junta de Andalucía and European Regional Development Fund

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The quantum maxima for the basic graphs of exclusivity are not reachable in Bell scenarios;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2024-01-29

2. Kochen-Specker contextuality;Reviews of Modern Physics;2022-12-19

3. Quantum correlations from simple assumptions;Physical Review A;2019-09-24

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