It is desirable to evaluate the maximal violation of Bell inequalities as the violation of constraints indicates the quantum effect of correlation in composite quantum system. In this paper, we propose a new approach to compute the maximal violation of Bell inequalities for multipartite qubit via partially symmetric tensor. For a class of well known Bell inequalities, we find that their maximal violation values derived by partially symmetric tensors cover the previous results as a special case. This sheds new light on the applications of tensor in the quantum multipartite system.
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