LAUSR

1 School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, P. R. China 2 Department of Mathematics, South China University of Technology, GuangZhou 510640, China 3 Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany 4 School of Mathematical Sciences, Capital Normal University, Beijing 100048, China † Correspondence to [email protected] Abstract Abstract We study the Bell nonlocality of high dimensional quantum systems based on quantum entanglement. A quantitative relationship between the maximal expectation value B of Bell operators and the quantum entanglement concurrence C is obtained for even dimension pure states, with the upper and lower bounds of B governed by C.