Quantum Nonlocality of Arbitrary Dimensional Bipartite States

Ming Li, Ting-Gui Zhang, Bobo Hua, Shao-Ming Fei, and Xianqing Li-Jost

Contact the author: Please use for correspondence this email.
Submission date: 25. Aug. 2015
Pages: 12
published in: Scientific Reports, 5 (2015), art-no. 13358 
DOI number (of the published article): 10.1038/srep13358
Bibtex
PACS-Numbers: 03.67.-a
Keywords and phrases: quantum nonlocality, entanglement, Bell inequalities
Download full preprint: PDF (200 kB)

Abstract:
We study the nonlocality of arbitrary dimensional bipartite quantum states. By computing the maximal violation of a set of multi-setting Bell inequalities, an analytical and computable lower bound has been derived for general two-qubit states. This bound gives the necessary condition that a two-qubit state admits no local hidden variable models. The lower bound is shown to be better than that from the CHSH inequality in judging the nonlocality of some quantum states. The results are generalized to the case of high dimensional quantum states, and a sufficient condition for detecting the non-locality has been presented.