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Accardi contra Bell (cum mundi): The Impossible Coupling
Mathematical Institute, Utrecht University, Netherlands.
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.ORCID iD: 0000-0002-1082-8325
2003 (English)In: Mathematical Statistics and Applications: Festschrift for Constance van Eeden / [ed] Marc Moore, Sorana Froda & Christian Léger, Hayward, CA: Institute of Mathematical Statistic , 2003, p. 133-154Chapter in book (Other academic)
Abstract [en]

An experimeotally observed violation of Bell's inequality i.s suppooed to show the failuro of local realism to deal with quantum roality. However, finite statistics and the Lime sequential nature of real experiments still allows a loophole for local roalism. We show that the raodomised design of the Aspect experiment closes this loophole. Our main tool is van de Geer's (1995, 2000) martingale version of the classical Bernstein (1924) incquality guaranteeing, at the  root n scale, a not-beavier-than-Gaussian tail of the distribution of a sum of bouoded supermartingale dilferences. The results are used to specify a protocol for a public bet between the author and L. Accardi, who in recont papers (Aocardi and Regal.i, 2000a, b, 2001; Accardi, lmafuku and Regoli, 2002) has claimed to have produced a suite of computer programmes, to be run on a network of computers, wbich will simulate a violation of Bell's inequalites. At a sarnple size of twenty five thousand, botb error probabilities are guaranteed smaller than about one in a million, provided we adhere to tho sequential randomized design while Accardi aims for tbe greatest possible violation allowed by quantum mechanics.

Place, publisher, year, edition, pages
Hayward, CA: Institute of Mathematical Statistic , 2003. p. 133-154
Series
Lecture notes-monograph series, ISSN 0749-2170 ; 42
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-38592Local ID: 44867ISBN: 0940600579 (print)ISBN: 9780940600577 (print)OAI: oai:DiVA.org:liu-38592DiVA, id: diva2:259441
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2019-08-16Bibliographically approved

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Larsson, Jan-Åke

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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More styles
Language
  • de-DE
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  • nn-NB
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