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

Fu, Li-Bin; Chen, Jing-Ling; Zhao, Xian-Geng

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

Authors

Fu, Li-Bin

Chen, Jing-Ling

Zhao, Xian-Geng

Description

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{í}n {\it et al} [Phys. Rev. A {\bf 65}, 052325 (2002)] using the Bell-Clauser-Horne inequality (in terms of probabilities).
6 pages, 3 figures