Phys. Rev. Lett. 87, 170405 (2001) [4 pages]No-Signaling Condition and Quantum DynamicsReceived 26 February 2001; published 8 October 2001 We show that the basic dynamical rules of quantum physics can be derived from its static properties and the condition that superluminal communication is forbidden. More precisely, the fact that the dynamics has to be described by linear completely positive maps on density matrices is derived from the following assumptions: (1) physical states are described by rays in a Hilbert space, (2) probabilities for measurement outcomes at any given time are calculated according to the usual trace rule, and (3) superluminal communication is excluded. This result also constrains possible nonlinear modifications of quantum physics. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.170405
DOI:
10.1103/PhysRevLett.87.170405
PACS:
03.65.Ta, 03.30.+p, 03.65.Ud
See AlsoReply: Christoph Simon, Vladimír Bužek, and Nicolas Gisin, Simon, Bužek, and Gisin Reply:, Phys. Rev. Lett. 90, 208902 (2003). Reply: Pavel Bóna, Comment on “No-Signaling Condition and Quantum Dynamics”, Phys. Rev. Lett. 90, 208901 (2003). |
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