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Bell-Kochen-Specker theorem: A proof with 18 vectors

Adan Cabello·Jose M. Estebaranz·Guillermo Garcia Alcaine
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Abstract

We present a ``state-independent'' proof of the Bell-Kochen-Specker theorem using only 18 four-dimensional vectors, which is a record for this kind of proof. This set of vectors contains subsets which allow us to develop a ``state-specific'' proof with 10 vectors (also a record) and a ``probabilistic'' proof with 7 vectors which reflects the algebraic structure of Hardy's nonlocality theorem.

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Adan Cabello, Jose M. Estebaranz, Guillermo Garcia Alcaine. 1997-06-03. Bell-Kochen-Specker theorem: A proof with 18 vectors. https://doi.org/10.1016/0375-9601(96)00134-x

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