Nonclassical Correlations from Randomly Chosen Local Measurements

Yeong-Cherng Liang, Nicholas Harrigan, Stephen D. Bartlett, and Terry Rudolph
Phys. Rev. Lett. 104, 050401 – Published 2 February 2010
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Abstract

We show that correlations inconsistent with any locally causal description can be a generic feature of measurements on entangled quantum states. Specifically, spatially separated parties who perform local measurements on a maximally entangled state using randomly chosen measurement bases can, with significant probability, generate nonclassical correlations that violate a Bell inequality. For n parties using a Greenberger-Horne-Zeilinger state, this probability of violation rapidly tends to unity as the number of parties increases. We also show that, even with both a randomly chosen two-qubit pure state and randomly chosen measurement bases, a violation can be found about 10% of the time. Among other applications, our work provides a feasible alternative for the demonstration of Bell inequality violation without a shared reference frame.

  • Figure
  • Received 15 September 2009

DOI:https://doi.org/10.1103/PhysRevLett.104.050401

©2010 American Physical Society

Authors & Affiliations

Yeong-Cherng Liang1,*, Nicholas Harrigan2, Stephen D. Bartlett1, and Terry Rudolph3

  • 1School of Physics, The University of Sydney, Sydney, New South Wales 2006, Australia
  • 2Department of Physics, Imperial College London, London SW7 2BW, United Kingdom
  • 3Institute for Mathematical Sciences, Imperial College London, London SW7 2BW, United Kingdom

  • *ycliang@physics.usyd.edu.au

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Vol. 104, Iss. 5 — 5 February 2010

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