Symmetric Extensions of Quantum States and Local Hidden Variable Theories

Barbara M. Terhal, Andrew C. Doherty, and David Schwab
Phys. Rev. Lett. 90, 157903 – Published 16 April 2003

Abstract

While all bipartite pure entangled states violate some Bell inequality, the relationship between entanglement and nonlocality for mixed quantum states is not well understood. We introduce a simple and efficient algorithmic approach for the problem of constructing local hidden variable theories for quantum states. The method is based on constructing a so-called symmetric quasiextension of the quantum state that gives rise to a local hidden variable model with a certain number of settings for the observers Alice and Bob.

  • Received 18 October 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.157903

©2003 American Physical Society

Authors & Affiliations

Barbara M. Terhal1,2, Andrew C. Doherty2, and David Schwab3

  • 1IBM Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598
  • 2Institute for Quantum Information, Caltech 107-81, Pasadena, California 91125
  • 3Department of Physics, Cornell University, 109 Clark Hall, Ithaca, New York 14853

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Issue

Vol. 90, Iss. 15 — 18 April 2003

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