title: Quantum Nonlocality of Arbitrary Dimensional Bipartite States.
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.
authors: College of the Science, China University of Petroleum, Qingdao 266580, P. R. China.|Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany.
authors: Ming
authors: M
authors: Li
authors: College of Mathematics and Statistics, Hainan Normal University, Haikou 571158, P. R. China.|Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany.
authors: Tinggui
authors: T
authors: Zhang
authors: School of Mathematical Sciences, LMNS, Fudan University, Shanghai 200433, P. R. China.|Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany.
authors: Bobo
authors: B
authors: Hua
authors: School of Mathematical Sciences, Capital Normal University, Beijing 100048, P. R. China.|Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany.
authors: Shao-Ming
authors: SM
authors: Fei
authors: College of Mathematics and Statistics, Hainan Normal University, Haikou 571158, P. R. China.|Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany.
authors: Xianqing
authors: X
authors: Li-Jost