New Class of 4-Dim Kochen-Specker Sets

Details New Class of 4-Dim Kochen-Specker Sets New Class of 4-Dim Kochen-Specker Sets

2010-04-08

arxiv.org/abs/1004.1433v2

Journal of Mathematical Physics, Vol.52, No. 2, pp. 022104-1-9 (2011)

Physics

Quantum Physics

7 pages, 3 figures; to appear in J. Math. Phys. Vol.52, No. 2 (2011)

Scientific paper

10.1063/1.3549586

We find a new highly symmetrical and very numerous class (millions of non-isomorphic sets) of 4-dim Kochen-Specker (KS) vector sets. Due to the nature of their geometrical symmetries, they cannot be obtained from previously known ones. We generate the sets from a single set of 60 orthogonal spin vectors and 75 of their tetrads (which we obtained from the 600-cell) by means of our newly developed "stripping technique." We also consider "critical KS subsets" and analyze their geometry. The algorithms and programs for the generation of our KS sets are presented.

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