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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Quantum Nonlocality of Arbitrary Dimensional Bipartite States
Ming Li, Ting-Gui Zhang, Bobo Hua, Shao-Ming Fei and Xianqing Li-JostAbstract
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.
- Received:
- 25.08.15
- Published:
- 25.08.15
- PACS:
- 03.67.-a
- Keywords:
- quantum nonlocality, entanglement, Bell inequalities