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Clauser-Horne-Shimony-Holt inequality for bipartite systems of 4-dimension isstudied in detail by employing the unbiased eight-port beam splittersmeasurements. The uniform formulae for the maximum and minimum values of thisinequality for such measurements are obtained. Based on these formulae, we showthat an optimal non-maximally entangled state is about 6% more resistant tonoise than the maximally entangled one. We also give the optimal state and theoptimal angles which are important for experimental realization.Comment: 7 pages, three table

Maximal violation of Clauser-Horne-Shimony-Holt inequality for four-level systems