Violation of Bell inequalities for arbitrary-dimensional bipartite systems |
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Authors: | Yanmin Yang Zhu-Jun Zheng |
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Affiliation: | 1.School of Mathematics,Guangzhou University,Guangzhou,China;2.School of Mathematics,South China University of Technology,Guangzhou,China |
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Abstract: | In this paper, we consider the violation of Bell inequalities for quantum system \(\mathbb {C}^K\otimes \mathbb {C}^K\) (integer \(K\ge 2\)) with group theoretical method. For general M possible measurements, and each measurement with K outcomes, the Bell inequalities based on the choice of two orbits are derived. When the observables are much enough, the quantum bounds are only dependent on M and approximate to the classical bounds. Moreover, the corresponding nonlocal games with two different scenarios are analyzed. |
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