Contextuality and the fundamental theorem of noncommutative algebra
Quantum Physics
2018-03-21 v1
Abstract
In the paper it is shown that the Kochen-Specker theorem follows from Burnside's theorem on noncommutative algebras. Accordingly, contextuality (as an impossibility of assigning binary values to projection operators independently of their contexts) is merely an inference from Burnside's fundamental theorem of the algebra of linear transformations on a Hilbert space of finite dimension.
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Cite
@article{arxiv.1803.07463,
title = {Contextuality and the fundamental theorem of noncommutative algebra},
author = {Arkady Bolotin},
journal= {arXiv preprint arXiv:1803.07463},
year = {2018}
}
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10 pages