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https://doi.org/10.1088/1464-4266/7/9/009

has been cited by the following article:

• TITLE: Information and Conditional Probability to Go beyond Hidden Variables

  AUTHORS: Koji Nagata, Germano Resconi, Tadao Nakamura, Han Geurdes

  KEYWORDS: Quantum Non Locality, Formalism

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.12, December 20, 2016

  ABSTRACT: 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.