Local Quantum Measurement and No-Signaling Imply Quantum Correlations

H. Barnum, S. Beigi, S. Boixo, M. B. Elliott, and S. Wehner
Phys. Rev. Lett. 104, 140401 – Published 6 April 2010
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Abstract

We show that, assuming that quantum mechanics holds locally, the finite speed of information is the principle that limits all possible correlations between distant parties to be quantum mechanical as well. Local quantum mechanics means that a Hilbert space is assigned to each party, and then all local positive-operator-valued measurements are (in principle) available; however, the joint system is not necessarily described by a Hilbert space. In particular, we do not assume the tensor product formalism between the joint systems. Our result shows that if any experiment would give nonlocal correlations beyond quantum mechanics, quantum theory would be invalidated even locally.

  • Figure
  • Received 26 November 2009

DOI:http://dx.doi.org/10.1103/PhysRevLett.104.140401

©2010 American Physical Society

Authors & Affiliations

H. Barnum1, S. Beigi2, S. Boixo2,*, M. B. Elliott2, and S. Wehner2

  • 1Perimeter Institute for Theoretical Physics, 31 Caroline Street N, Waterloo, Ontario, N2L 2Y5 Canada
  • 2Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125, USA

  • *boixo@caltech.edu

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Vol. 104, Iss. 14 — 9 April 2010

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