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Title
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Non-bicolourable finite configurations of rays and their deformations
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Author
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Abstract
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| A new infinite family of examples of finite non-bicolourable configurations of rays in Hilbert space is described. Such configurations appear in the analysis of quantum mechanics in terms of Bell's inequalities and the Kochen-Specker theorem and illustrate that there is no measurable space in the background of the probability model of a quantum system. The mentioned examples are naturally parametrized by a positive integer divisible by 4 and by several complex-valued parameters, whose number depends on this integer. In order to compare two configurations with the same number of rays, a notion of deformation of a configuration is introduced. The constructed examples are then interpreted as obtained by way of deformations. |
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Language
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English
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Source (journal)
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Journal of physics: A: mathematical and general. - London, 1968 - 2006
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Publication
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London
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2006
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ISSN
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0305-4470
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DOI
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10.1088/0305-4470/39/10/014
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Volume/pages
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39
:10
(2006)
, p. 2457-2476
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ISI
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000236776000015
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Full text (Publisher's DOI)
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