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arXiv · 1604.01621

Olson Order of Quantum Observables

Anatolij Dvurečenskij
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Abstract

Using ideas of Olson \cite{Ols} who showed that the system of effect operators of a Hilbert space can be ordered by the so-called spectral order such that the system of effect operators is a complete lattice. Using his ideas, we introduce a partial order, called the Olson order, on the set of bounded observables of a complete lattice effect algebra. We show that the set of bounded observables is a Dedekind complete lattice.0

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Anatolij Dvurečenskij. 2016-04-03. Olson Order of Quantum Observables. https://doi.org/10.1007/s10773-016-3113-9

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