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The Kochen-Specker Paradox and Great-Circle Descents
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-1082-8325
2009 (English)In: Foundations of Probability and Physics—5 / [ed] Accardi, L; Adenier, G; Fuchs, CA; Jaeger, G; Khrennikov, A; Larsson, JA; Stenholm, S, Melville, NY, USA: American Institute of Physics (AIP), 2009, Vol. 1101, 280-286 p.Conference paper (Other academic)
Abstract [en]

The Kochen-Specker paradox has recently been subject to experimental interest, and in this situation the number of steps in the proof in question is important. The fewer number of steps there are in the proof, the more imperfections can be tolerated in the experimental setup. In the spin-1 version of the Kochen-Specker paradox, when the settings used are directions in three-dimensional space, the proofs can be easily visualized and the steps can easily be counted. In particular, the original Kochen-Specker paradox makes use of so-called great-circle descents. Here, we will examine such descents in detail and also some other versions of the proof for spin-1 systems. We will see that, perhaps contrary to intuition, the proofs that use a small number of steps do not in general use only great-circle descents, and examine the reasons for this and possible extensions. At least one new proof will also be presented for the spin-1 case.

Place, publisher, year, edition, pages
Melville, NY, USA: American Institute of Physics (AIP), 2009. Vol. 1101, 280-286 p.
, AIP Conference Proceedings, ISSN 0094-243X ; 1101
Keyword [en]
Quantum theory, Bell theorem, Probability
National Category
URN: urn:nbn:se:liu:diva-18737DOI: 10.1063/1.3109950ISI: 000265432200035OAI: diva2:221269
International Conference on Foundations of Probability and Physics-5, Växjö Sweden, Aug. 24-27, 2008
Available from: 2009-06-03 Created: 2009-06-03 Last updated: 2016-08-31Bibliographically approved

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Larsson, Jan-Åke
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Applied MathematicsThe Institute of Technology

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