Chained Bell Inequality Experiment with High-Efficiency Measurements

T. R. Tan, Y. Wan, S. Erickson, P. Bierhorst, D. Kienzler, S. Glancy, E. Knill, D. Leibfried, and D. J. Wineland
Phys. Rev. Lett. 118, 130403 – Published 28 March 2017
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Abstract

We report correlation measurements on two Be9+ ions that violate a chained Bell inequality obeyed by any local-realistic theory. The correlations can be modeled as derived from a mixture of a local-realistic probabilistic distribution and a distribution that violates the inequality. A statistical framework is formulated to quantify the local-realistic fraction allowable in the observed distribution without the fair-sampling or independent-and-identical-distributions assumptions. We exclude models of our experiment whose local-realistic fraction is above 0.327 at the 95% confidence level. This bound is significantly lower than 0.586, the minimum fraction derived from a perfect Clauser-Horne-Shimony-Holt inequality experiment. Furthermore, our data provide a device-independent certification of the deterministically created Bell states.

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  • Received 5 December 2016

DOI:https://doi.org/10.1103/PhysRevLett.118.130403

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsGeneral PhysicsAtomic, Molecular & OpticalQuantum Information, Science & Technology

Authors & Affiliations

T. R. Tan1,2,*, Y. Wan1, S. Erickson1,2, P. Bierhorst1, D. Kienzler1, S. Glancy1, E. Knill1,3, D. Leibfried1, and D. J. Wineland1,2,†

  • 1National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA
  • 2Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
  • 3Center for Theory of Quantum Matter, University of Colorado, Boulder, Colorado 80309, USA

  • *tingrei.tan@nus.edu.sg Present address: Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore, Singapore.
  • david.wineland@nist.gov

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Issue

Vol. 118, Iss. 13 — 31 March 2017

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