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Modeling Tests Based on the Eberhard Inequality†

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Journal of Russian Laser Research Aims and scope

Abstract

Last year, the first experimental tests closing the detection loophole (also referred to as the fair sampling loophole) were performed by two experimental groups, one in Vienna and the other one in Urbana-Champaign. To violate the Bell-type inequalities (the Eberhard inequality in the first test and the Clauser–Horne inequality in the second test), one has to optimize a number of parameters involved in the experiment (angles of polarization beam splitters and quantum state parameters). We study this problem for the Eberhard inequality in detail, using the advanced method of numerical optimization, namely, the Nelder–Mead method.

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Authors and Affiliations

  1. Moscow Institute of Electronic Technology Zelenograd, Moscow, 124498, Russia

    Polina Titova

  2. International Center for Mathematical Modeling in Physics Engineering, Economics, and Cognitive Science Linnaeus University, Växjö, Kalmar, S-35195, Sweden

    Andrei Khrennikov

Authors
  1. Polina Titova
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  2. Andrei Khrennikov
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Correspondence to Andrei Khrennikov.

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†Dedicated to the 50th anniversary of Bell’s theorem.

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Titova, P., Khrennikov, A. Modeling Tests Based on the Eberhard Inequality† . J Russ Laser Res 36, 2–16 (2015). https://doi.org/10.1007/s10946-015-9471-6

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  • DOI: https://doi.org/10.1007/s10946-015-9471-6

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