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arXiv · 1411.4583

On the connection between the theorems of Gleason and of Kochen and Specker

Karl-Peter Marzlin·Taylor Landry
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Abstract

We present an elementary proof of a reduced version of Gleason's theorem and the Kochen-Specker theorem to provide a novel perspective on the relation between both theorems. The proof is based on a set of linear equations for the values of a function $m$ on the unit sphere. In the case of Gleason's theorem the entire unit sphere needs to be considered, while a finite set of points suffices to prove the Kochen-Specker theorem.

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Karl-Peter Marzlin, Taylor Landry. 2014-11-17. On the connection between the theorems of Gleason and of Kochen and Specker. https://doi.org/10.1139/cjp-2014-0631

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