What in Fact Proves the Violation of the Bell-Type Inequalities?  

作　　者：Sofia Wechsler Sofia Wechsler(Kiryat Motzkin, Israel)

机构地区：[1]Kiryat Motzkin, Israel

出　　处：《Journal of Quantum Information Science》2023年第1期24-32,共9页量子信息科学期刊（英文）

摘　　要：A. Peres constructed an example of particles entangled in the state of spin singlet. He claimed to have obtained the CHSH inequality and concluded that the violation of this inequality shows that in a measurement in which some variables are tested, other variables, not tested, have no defined value. In the present paper is proved that the correct conclusion of the violation of the CHSH inequality is different. It is proved that the classical calculus of probabilities of test results, obeying the Kolmogorov axioms, is unfit for the quantum formalism, dominated by probability amplitudes.A. Peres constructed an example of particles entangled in the state of spin singlet. He claimed to have obtained the CHSH inequality and concluded that the violation of this inequality shows that in a measurement in which some variables are tested, other variables, not tested, have no defined value. In the present paper is proved that the correct conclusion of the violation of the CHSH inequality is different. It is proved that the classical calculus of probabilities of test results, obeying the Kolmogorov axioms, is unfit for the quantum formalism, dominated by probability amplitudes.

关 键 词：CHSH Inequalities Kolmogorov Axioms Photon Singlet of Polarization Malus Law 

分 类 号：O17[理学—数学]