Phys. Rev. Lett. 97, 180401 (2006) [4 pages]Condition for Any Realistic Theory of Quantum SystemsSee Also: Publisher's Note Received 19 December 2005; revised 9 April 2006; published 30 October 2006; corrected 31 October 2006 In quantum physics, the density operator completely describes the state. Instead, in classical physics the mean value of physical quantities is evaluated by means of a probability distribution. We study the possibility to describe pure quantum states and events with classical probability distributions and conditional probabilities and prove that the distributions have to be nonlinear functions of the density operator. Some examples are considered. Finally, we deal with the exponential complexity problem of quantum physics and introduce the concept of classical dimension for a quantum system. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.180401
DOI:
10.1103/PhysRevLett.97.180401
PACS:
03.65.Ta
See AlsoPublisher's Note: A. Montina, Publisher’s Note: Condition for Any Realistic Theory of Quantum Systems [Phys. Rev. Lett. 97, 180401 (2006)], Phys. Rev. Lett. 97, 189902 (2006). |
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