On the connection between the theorems of Gleason and of Kochen and Specker
| Autor: | Karl-Peter Marzlin, Taylor Landry |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Unit sphere
Physics Discrete mathematics Quantum Physics General Physics and Astronomy FOS: Physical sciences Function (mathematics) Physics::History of Physics Connection (mathematics) Kochen–Specker theorem Set (abstract data type) Mathematics::Logic Elementary proof Quantum Physics (quant-ph) Finite set Linear equation |
| Popis: | 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. 8 pages, 5 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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