Violations of local realism with quantum systems described by N-dimensional Hilbert spaces up to N=16 - art. no. 024101

Predictions for systems in entangled states cannot be described in local re alistic terms. However, after admixing some noise such a description is pos sible. We show that for two quantum systems described by N-dimensional Hilb ert spaces (quNits) in a maximally entangled state the minimal admixture of noise increases monotonically with N. The results are a direct extension o f those of Kaszlikowski et al. [Phys. Rev. Lett. 85, 4418 (2000)], where re sults for N less than or equal to 9 were presented. The extension up to N = 16 is possible when one defines for each N a specially chosen set of obser vables. We also present results concerning the critical detectors efficienc y beyond which a valid test of local realism for entangled quNits is possib le.