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Information and Conditional Probability to Go beyond Hidden Variables 被引量:1

Information and Conditional Probability to Go beyond Hidden Variables
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摘要 We study the relation between the possibility of describing quantum correlation with hidden variables and the existence of the Bloch sphere. We derive some proposition concerning a quantum expected value under an assumption about the existence of the Bloch sphere in N spin-1/2 systems. However, the hidden variables theory violates the proposition with a magnitude that grows exponentially with the number of particles. Therefore, we have to give up either the existence of the Bloch sphere or the hidden variables theory. We show that the introduction of curved information and the continuity equation of probability are in agreement with classical quantum mechanics. So we give up the hidden variable theory as local theory and we accept the Bloch sphere as global theory connected with the information space. We study the relation between the possibility of describing quantum correlation with hidden variables and the existence of the Bloch sphere. We derive some proposition concerning a quantum expected value under an assumption about the existence of the Bloch sphere in N spin-1/2 systems. However, the hidden variables theory violates the proposition with a magnitude that grows exponentially with the number of particles. Therefore, we have to give up either the existence of the Bloch sphere or the hidden variables theory. We show that the introduction of curved information and the continuity equation of probability are in agreement with classical quantum mechanics. So we give up the hidden variable theory as local theory and we accept the Bloch sphere as global theory connected with the information space.
作者 Koji Nagata Germano Resconi Tadao Nakamura Han Geurdes Koji Nagata;Germano Resconi;Tadao Nakamura;Han Geurdes(Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon, South Korea;Department of Mathematics and Physics, Catholic University, Brescia, Italy;Department of Information and Computer Science, Keio University, Yokohama, Japan;Geurdes Data Science, Den Haag, The Netherlands)
出处 《Journal of Applied Mathematics and Physics》 2016年第12期2203-2214,共12页 应用数学与应用物理(英文)
关键词 Quantum Non Locality FORMALISM Quantum Non Locality Formalism
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