On the violation of Bell's inequality in quantum theory

Miklós Rédei

谭维翰, 郭奇志

The purpose of this paper is to deduce an analytical expression for the violation of Bell's inequality by quantum theory and plane trigonometry, and expound the violation and maximal violation of the first,second type Bell's inequality in detail. Further, we find out the sufficient conditions for the region in which Bell's inequalities are violated.

Yadollah Farahmand, Zabialah Heidarnezhad, Х. Х. Муминов

Weihan Tan, Qizhi Guo

The purpose of this paper is to deduce an analytical expression for the violation of Bell's inequality by quantum theory and plane trigonometry, and expound the violation and maximal violation of the first, second type Bell's inequality in detail. Further, we find out the sufficient conditions for the region in which Bell's inequalities are violated.

B. S. Cirel'son

Yunxia Ping, Ze Cheng

Continuous variable entanglement and violation of Bell inequality for two modes are investigated in a three-level cascade atomic system. Entanglement of the system is demonstrated according to the entanglement criterion [Phys. Rev. Lett. 84 (2000) 2722]. Violation of Bell inequality is studied within the framework of a quantum theory of multiwave mixing. It is shown that there are some states that are entangled but do not violate the Bell inequality.