The problem of quantum correlations and the totalitarian principle
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 realisation 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 in {\em Phys. Rev. A} \textbf{100}, 032120 (2019)] and explores some implications of the result. This article is part of the theme issue `Contextuality and probability in quantum mechanics and beyond'.
Keywords
Cite
@article{arxiv.1909.12093,
title = {The problem of quantum correlations and the totalitarian principle},
author = {Adán Cabello},
journal= {arXiv preprint arXiv:1909.12093},
year = {2019}
}
Comments
18 pages, 2 figures. arXiv admin note: text overlap with arXiv:1801.06347