No-Signaling Condition and Quantum Dynamics

Christoph Simon, Vladimír Bužek, and Nicolas Gisin
Phys. Rev. Lett. 87, 170405 – Published 8 October 2001
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Abstract

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.

  • Received 26 February 2001

DOI:https://doi.org/10.1103/PhysRevLett.87.170405

©2001 American Physical Society

Authors & Affiliations

Christoph Simon1,*, Vladimír Bužek2,3, and Nicolas Gisin4

  • 1Centre for Quantum Computation, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
  • 2Research Center for Quantum Information, Slovak Academy of Sciences, Dúbravská cesta 9, 842 28 Bratislava, Slovakia
  • 3Faculty of Informatics, Masaryk University, Botanická 68a, 602 00 Brno, Czech Republic
  • 4Groupe de Physique Appliquée, Université de Genève, 20 rue de l'Ecole de Médecine, 1211 Genève 4, Switzerland

  • *Previous address: Institut für Experimentalphysik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, AustriaEmail address: Christoph.Simon@qubit.org

Comments & Replies

Simon, Bužek, and Gisin Reply:

Christoph Simon, Vladimír Bužek, and Nicolas Gisin
Phys. Rev. Lett. 90, 208902 (2003)

Comment on “No-Signaling Condition and Quantum Dynamics”

Pavel Bóna
Phys. Rev. Lett. 90, 208901 (2003)

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Vol. 87, Iss. 17 — 22 October 2001

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