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Kochen-Specker theorem for 8-dimensional space

Quantum Physics 2009-10-28 v1

Abstract

A Kochen-Specker contradiction is produced with 36 vectors in a real 8-dimensional Hilbert space. These vectors can be combined into 30 distinct projection operators (14 of rank 2, and 16 of rank 1). A state-specific variant of this contradiction requires only 13 vectors, a remarkably low number for 8 dimensions.

Cite

@article{arxiv.quant-ph/9412006,
  title  = {Kochen-Specker theorem for 8-dimensional space},
  author = {Michael Kernaghan and Asher Peres},
  journal= {arXiv preprint arXiv:quant-ph/9412006},
  year   = {2009}
}

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