Diagrams of Kochen-Specker type constructions (Q1586489)
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scientific article; zbMATH DE number 1529174
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diagrams of Kochen-Specker type constructions |
scientific article; zbMATH DE number 1529174 |
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Diagrams of Kochen-Specker type constructions (English)
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25 February 2001
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Gleason's theorem claims that there is no two-valued state on the quantum logic of all closed subspaces of a Hilbert space of dimension 3 or more. \textit{S. Kochen} and \textit{E. P. Specker} [J. Math. Mech. 17, 59-87 (1967; Zbl 0156.23302)] constructed a finite quantum logic in a 3-dimensional space without a two-valued state. This paper considers some examples of a finite quantum logic in 3-dimensional and 4-dimensional spaces without a two-valued state.
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Gleason's theorem
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two-valued state
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finite quantum logic
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