Maximal violation of Clauser-Horne-Shimony-Holt inequality for two qutrits

Abstract

Bell-Clauser-Horne-Shimony-Holt inequality (in terms of correlation functions) of two qutrits is studied in detail by employing tritter measurements. A uniform formula for the maximum value of this inequality for tritter measurements is obtained. Based on this formula, we show that non-maximally entangled states violate the Bell-CHSH inequality more strongly than the maximally entangled one. This result is consistent with what was obtained by Ac\'in et al [Phys. Rev. A 65, 052325 (2002)] using the Bell-Clauser-Horne inequality (in terms of probabilities).

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