In this brief report we show the new Bell-Clauser-Horne inequality for two entangled three dimensional quantum systems (so called qutrits). This inequality is violated by a maximally entangled state of two qutrits observed via symmetric three input and three output port beamsplitter only if the amount of noise in the system equals 11-6√3 2≈ 0.308. This is in perfect agreement with the previous numerical calculations presented in Kaszlikowski { et. al.} Phys. Rev. Lett. { 85}, 4418 (2000).
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Kaszlikowski et al. (2001) studied this question.