Maximal violation of state-independent contextuality inequalities
2012 (English)In: Quantum Theory: Reconsideration of Foundations - 6, American Institute of Physics (AIP), 2012, Vol. 1508, 265-274 p.Conference paper (Refereed)
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.
, AIP Conference Proceedings, ISSN 0094-243X ; 1508
Contextuality; Noncontextuality; Kochen-Specker; Hidden variables
IdentifiersURN: urn:nbn:se:liu:diva-96539DOI: 10.1063/1.4773138ISI: 000317107200027ISBN: 978-0-7354-1126-5OAI: oai:DiVA.org:liu-96539DiVA: diva2:642283
International Conference on Quantum Theory -Reconsideration of Foundations (QTRF6), 11-14 June 2012, Växjö, Sweden