Tight Correlation-Function Bell Inequality for Multipartite $d$-Dimensional System
Quantum Physics
2009-11-13 v2
Abstract
We generalize the correlation functions of the Clauser-Horne-Shimony-Holt (CHSH) inequality to multipartite d-dimensional systems. All the Bell inequalities based on this generalization take the same simple form as the CHSH inequality. For small systems, numerical results show that the new inequalities are tight and we believe this is also valid for higher dimensional systems. Moreover, the new inequalities are relevant to the previous ones and for bipartite system, our inequality is equivalent to the Collins-Gisin-Linden-Masser-Popescu (CGLMP) inequality.
Keywords
Cite
@article{arxiv.0809.1713,
title = {Tight Correlation-Function Bell Inequality for Multipartite $d$-Dimensional System},
author = {Jing-Ling Chen and Dong-Ling Deng},
journal= {arXiv preprint arXiv:0809.1713},
year = {2009}
}
Comments
4 pages; Accepted by PRA