Homogenization of Bell inequalities
Quantum Physics
2015-06-03 v1
Abstract
A technique, which we call homogenization, is applied to transform CH-type Bell inequalities, which contain lower order correlations, into CHSH-type Bell inequalities, which are defined for highest order correlation functions. A homogenization leads to inequalities involving more settings, that is a choice of one more observable is possible for each party. We show that this technique preserves the tightness of Bell inequalities: a homogenization of a tight CH-type Bell inequality is still a tight CHSH-type Bell inequality. As an example we obtain CHSH-type Bell inequalities by homogenization of CH-type Bell inequalities derived by Sliwa in [Phys. Lett. A {\bf 317}, 165 (2003)].
Keywords
Cite
@article{arxiv.1112.2827,
title = {Homogenization of Bell inequalities},
author = {Yu-Chun Wu and Marek Żukowski},
journal= {arXiv preprint arXiv:1112.2827},
year = {2015}
}