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Modeling Tests Based on the Eberhard Inequality
Moscow Institute of Electronic Technology, Russia.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
2015 (English)In: Journal of Russian Laser Research, ISSN 1071-2836, E-ISSN 1573-8760, Vol. 36, no 1, 2-16 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
USA: Springer, 2015. Vol. 36, no 1, 2-16 p.
Keyword [en]
Bell’s test, fair sampling loophole, Eberhard inequality, Clauser–Horne inequality, optimization of parameters, fluctuations of angles, coefficient of variation
National Category
Atom and Molecular Physics and Optics Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-41531DOI: 10.1007/s10946-015-9471-6ISI: 000352265200001OAI: oai:DiVA.org:lnu-41531DiVA: diva2:799957
Projects
Mathematical Modeling
Available from: 2015-04-01 Created: 2015-04-01 Last updated: 2016-05-03Bibliographically approved

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Khrennikov, Andrei
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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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  • Other locale
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Output format
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  • asciidoc
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