Universal Groups of Effect Spaces

Foundations of Physics 29 (3):409-422 (1999)
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Abstract

Various axiomatic models for unsharp quantum measurements are investigated. These include effect spaces (E-spaces), effect test spaces (E-test spaces), effect algebras, and test groups. It is shown that a test group G is the universal group of an E-test space if and only if G is strongly atomistic. It follows that if G is strongly atomistic, then G is an interpolation group. We then demonstrate that if G is an interpolation group, then G is the universal group of an E-space. Finally, it is shown that an E-space is isomorphic to an E-test space if and only if it is strongly atomistic

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Effect test spaces and effect algebras.Stanley Gudder - 1997 - Foundations of Physics 27 (2):287-304.

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