Bell's Theorem, Accountability and Nonlocality
Abstract
Bell's theorem is a fundamental theorem in physics concerning the incompatibility between some correlations predicted by quantum theory and a large class of physical theories. In this paper, we introduce the hypothesis of accountability, which demands that it is possible to explain the correlations of the data collected in many runs of a Bell experiment in terms of what happens in each single run. Under this assumption, and making use of a recent result by Colbeck and Renner [Nat. Commun. 2, 411 (2011)], we then show that any nontrivial account of these correlations in the form of an extension of quantum theory must violate parameter independence. Moreover, we analyze the violation of outcome independence of quantum mechanics and show that it is also a manifestation of nonlocality.
Cite
@article{arxiv.1307.4365,
title = {Bell's Theorem, Accountability and Nonlocality},
author = {Nicola Vona and Yeong-Cherng Liang},
journal= {arXiv preprint arXiv:1307.4365},
year = {2014}
}
Comments
A better formulated version with added references and an appendix containing some simple but useful proofs (7 pages, 1 figure); to appear in Special issue: 50 years of Bell's theorem, Journal of Physics A: Mathematical and Theoretical