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Ideal, first-kind measurements in a proposition-state structure

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Abstract

Let ℒ be an orthomodular lattice and ℒ a strongly ordering set of probability measures on ℒ such that supports of measures exist in ℒ. Then we show the existence of a set of mappings of ℒ into ℒ that are physically interpretable as ideal, first-kind measurements.

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Communicated by R. Haag

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Cassinelli, G., Beltrametti, E.G. Ideal, first-kind measurements in a proposition-state structure. Commun.Math. Phys. 40, 7–13 (1975). https://doi.org/10.1007/BF01614093

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