Coloring the rational quantum sphere and the Kochen-Specker theorem

Details Coloring the rational quantum sphere and the Kochen-Specker theorem Coloring the rational quantum sphere and the Kochen-Specker theorem

1999-11-09

arxiv.org/abs/quant-ph/9911040v2

J. Phys. A: Math. Gen. 34(14), 3071-3077 (13 April 2001)

Physics

Quantum Physics

9 pages, 1 figure

Scientific paper

We review and extend recent findings of Godsil and Zaks, who published a constructive coloring 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, white and black. They also showed that any consistent coloring of the real sphere requires an additional color. We discuss some of the consequences for the Kochen-Specker theorem.

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