How orthogonalities set Kochen-Specker sets
arXiv:1008.4453 · doi:10.1063/1.3567454
Abstract
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.
3 pages, contribution to the Växjö conference "Advances in Quantum Theory"