No-hypersignaling principle
Abstract
A paramount topic in quantum foundations, rooted in the study of the EPR paradox and Bell inequalities, is that of characterizing quantum theory in terms of the space-like correlations it allows. Here we show that to focus only on space-like correlations is not enough: we explicitly construct a toy model theory that, while not contradicting classical and quantum theories at the level of space-like correlations, still displays an anomalous behavior in its time-like correlations. We call this anomaly, quantified in terms of a specific communication game, the "hypersignaling" phenomena. We hence conclude that the "principle of quantumness," if it exists, cannot be found in space-like correlations alone: nontrivial constraints need to be imposed also on time-like correlations, in order to exclude hypersignaling theories.
Cite
@article{arxiv.1609.09237,
title = {No-hypersignaling principle},
author = {Michele Dall'Arno and Sarah Brandsen and Alessandro Tosini and Francesco Buscemi and Vlatko Vedral},
journal= {arXiv preprint arXiv:1609.09237},
year = {2018}
}
Comments
6 + 7 pages, 4 figures, 1 table, published version, PRL Editors' Suggestion, typos fixed