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Hidden Variable Models for Quantum Theory Cannot Have Any Local Part

Roger Colbeck and Renato Renner
Phys. Rev. Lett. 101, 050403 – Published 1 August 2008
Physics logo See Synopsis: Only nonlocals allowed

Abstract

It was shown by Bell that no local hidden variable model is compatible with quantum mechanics. If, instead, one permits the hidden variables to be entirely nonlocal, then any quantum mechanical predictions can be recovered. In this Letter, we consider general hidden variable models which can have both local and nonlocal parts. We show the existence of (experimentally verifiable) quantum correlations that are incompatible with any hidden variable model having a nontrivial local part, such as the model proposed by Leggett.

  • Figure
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  • Received 23 February 2008

DOI:https://doi.org/10.1103/PhysRevLett.101.050403

©2008 American Physical Society

Synopsis

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Only nonlocals allowed

Published 5 August 2008

Bell showed that quantum entanglement cannot be modeled with local hidden variables alone. Now, physicists argue that only models based exclusively on nonlocal hidden variables can reproduce all possible quantum correlations.

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Authors & Affiliations

Roger Colbeck1,2,* and Renato Renner1,†

  • 1Institute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland.
  • 2Institute of Theoretical Computer Science, ETH Zurich, 8092 Zurich, Switzerland.

  • *colbeck@phys.ethz.ch
  • renner@phys.ethz.ch

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Issue

Vol. 101, Iss. 5 — 1 August 2008

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