Wigner's inequality for conditional probabilities and nonexistence of a realistic model for the two dimensional Hilbert space

摘要: We perform the analysis of probabilistic assumptions Bell’s approach. emphasize that J. Bell wrote about probability without to specify concrete axiomatics theory. The careful demonstrated (surprisingly) did not apply classical model (Kolmogorov) describe “classical physical framework.” In fact, he created his own and compared it with quantum one. crucial point is pay attention conditional probabilities. show in cannot be defined by Bayes’ formula. also use approach based on Bell-type inequalities conventional approach, Kolmogorov model. prove an analog Wigner’s inequality for probabilities using this predictions models disagree already case noncomposite systems (even two dimensional case!).