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Maximal violation of state-independent contextuality inequalities
Linköping University, Department of Electrical Engineering, Information Coding. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-1082-8325
Universität Siegen, Germany.
Universidad de Sevilla, Spain.
Universität Siegen, Germany.
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2012 (English)In: Quantum Theory: Reconsideration of Foundations - 6, American Institute of Physics (AIP), 2012, Vol. 1508, 265-274 p.Conference paper, Published paper (Refereed)
Abstract [en]

The discussion on noncontextual hidden variable models as an underlying description for the quantum-mechanical predictions started in ernest with 1967 paper by Kochen and Specker. There, it was shown that no noncontextual hidden-variable model can give these predictions. The proof used in that paper is complicated, but recently, a paper by Yu and Oh [PRL, 2012] proposes a simpler statistical proof that can also be the basis of an experimental test. Here we report on a sharper version of that statistical proof, and also explain why the algebraic upper bound to the expressions used are not reachable, even with a reasonable contextual hidden variable model. Specifically, we show that the quantum mechanical predictions reach the maximal possible value for a contextual model that keeps the expectation value of the measurement outcomes constant.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2012. Vol. 1508, 265-274 p.
Series
AIP Conference Proceedings, ISSN 0094-243X ; 1508
Keyword [en]
Contextuality; Noncontextuality; Kochen-Specker; Hidden variables
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-96539DOI: 10.1063/1.4773138ISI: 000317107200027ISBN: 978-0-7354-1126-5 (print)OAI: oai:DiVA.org:liu-96539DiVA: diva2:642283
Conference
International Conference on Quantum Theory -Reconsideration of Foundations (QTRF6), 11-14 June 2012, Växjö, Sweden
Available from: 2013-08-21 Created: 2013-08-20 Last updated: 2016-08-31Bibliographically approved

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Larsson, Jan-Åke

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf