How orthogonalities set Kochen-Specker sets

Physics – Quantum Physics

Scientific paper

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3 pages, contribution to the V\"axj\"o conference "Advances in Quantum Theory"

Scientific paper

We look at generalisations of sets of vectors proving the Kochen-Specker theorem in 3 and 4 dimensions. It has been shown that two such sets, although unitarily inequivalent, are part of a larger 3-parameter family of vectors that share the same orthogonality graph. We find that these sets are unusual, in that the vectors in all other Kochen-Specker sets investigated here are fully determined by orthogonality conditions and thus admit no free parameters.

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