Hans Havlicek et al 2001 J. Phys. A: Math. Gen. 34 3071 doi:10.1088/0305-4470/34/14/312
Colouring the rational quantum sphere and the Kochen-Specker theorem
Hans Havlicek1, Günther Krenn2, Johann Summhammer2 and Karl Svozil3,4
Show affiliationsWe review and extend recent findings of Godsil and Zaks, who published a constructive colouring of the rational unit sphere with the property that for any orthogonal tripod formed by rays extending from the origin of the points of the sphere, exactly one ray is red, one white and one black. They also showed that any consistent colouring of the real sphere requires an additional colour. We discuss some of the consequences for the Kochen-Specker theorem.
- PACS
- MSC
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20K30 Automorphisms, homomorphisms, endomorphisms, etc.
81P10 Logical foundations of quantum mechanics; quantum logic (See also 03G12, 06C15)
- Subjects
- Dates
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Issue 14 (13 April 2001)
Received 25 October 2000, in final form 26 February 2001
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Colouring the rational quantum sphere and the Kochen-Specker theorem
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