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

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

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.

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Adan Cabello, Jose M. Estebaranz, Guillermo Garcia-Alcaine. 2005-04-28. Recursive proof of the Bell-Kochen-Specker theorem in any dimension $n>3$. https://doi.org/10.1016/j.physleta.2005.03.067

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