

Preprint 47/2015
Quantum Nonlocality of Arbitrary Dimensional Bipartite States
Ming Li, Ting-Gui Zhang, Bobo Hua, Shao-Ming Fei, and Xianqing Li-Jost
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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
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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.