New Class of 4-Dim Kochen-Specker Sets

Abstract

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.

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

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Cited by in corpus (9)

• Kochen-Specker Contextuality
• Quantum Contextuality
• Probabilistic Generation of Quantum Contextual Sets
• Vector Generation of Quantum Contextual Sets in Even Dimensional Hilbert Spaces
• Arbitrarily exhaustive hypergraph generation of 4-, 6-, 8-, 16-, and 32-dimensional quantum contextual sets
• Automated generation of Kochen-Specker sets
• Hypergraph Contextuality
• Non-Kochen-Specker Contextuality
• Vector Generation of Contextual Sets