Recursive proof of the Bell-Kochen-Specker theorem in any dimension $n>3$

Adan Cabello; Jose M. Estebaranz; Guillermo Garcia-Alcaine

doi:10.1016/j.physleta.2005.03.067

Recursive proof of the Bell-Kochen-Specker theorem in any dimension $n>3$

Quantum Physics 2016-09-08 v1

Authors: Adan Cabello , Jose M. Estebaranz , Guillermo Garcia-Alcaine

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Abstract

We present a method to obtain sets of vectors proving the Bell-Kochen-Specker theorem in dimension $n$ from a similar set in dimension $d$ ( $3\leq d<n\leq 2d$ ). As an application of the method we find the smallest proofs known in dimension five (29 vectors), six (31) and seven (34), and different sets matching the current record (36) in dimension eight.

Keywords

bell-kochen-specker theorem vector sets recursive proof quantum contextuality higher dimensions

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@article{arxiv.quant-ph/0504217,
  title  = {Recursive proof of the Bell-Kochen-Specker theorem in any dimension $n>3$},
  author = {Adan Cabello and Jose M. Estebaranz and Guillermo Garcia-Alcaine},
  journal= {arXiv preprint arXiv:quant-ph/0504217},
  year   = {2016}
}

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Recursive proof of the Bell-Kochen-Specker theorem in any dimension $n>3$

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