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Quantum contextuality for rational vectors
University Seville.
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-1082-8325
2010 (English)In: Physics Letters A, ISSN 0375-9601, E-ISSN 1873-2429, Vol. 375, no 2, 99-99 p.Article in journal (Refereed) Published
Abstract [en]

The Kochen-Specker theorem states that noncontextual hidden variable models are inconsistent with the quantum predictions for every yes-no question on a qutrit, corresponding to every projector in three dimensions. It has been suggested [D.A. Meyer, Phys. Rev. Lett. 83 (1999) 3751] that the inconsistency would disappear when restricting to projectors on unit vectors with rational components; that noncontextual hidden variables could reproduce the quantum predictions for rational vectors. Here we show that a qutrit state with rational components violates an inequality valid for noncontextual hidden-variable models [A.A. Klyachko et al., Phys. Rev. Lett. 101 (2008) 020403] using rational projectors. This shows that the inconsistency remains even when using only rational vectors.

Place, publisher, year, edition, pages
Elsevier Science B.V., Amsterdam. , 2010. Vol. 375, no 2, 99-99 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-63933DOI: 10.1016/j.physleta.2010.10.061ISI: 000285127000007OAI: oai:DiVA.org:liu-63933DiVA: diva2:384998
Note
Original Publication: Adan Cabello and Jan-Åke Larsson, Quantum contextuality for rational vectors, 2010, Physics Letters A, (375), 2, 99-99. http://dx.doi.org/10.1016/j.physleta.2010.10.061 Copyright: Elsevier Science B.V., Amsterdam. http://www.elsevier.com/ Available from: 2011-01-11 Created: 2011-01-10 Last updated: 2017-12-11

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CiteExportLink to record
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  • apa
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