A1 Refereed original research article in a scientific journal
On the structure of covariant phase observables
Authors: Pellonpaa JP
Publisher: AMER INST PHYSICS
Publication year: 2002
Journal:: Journal of Mathematical Physics
Journal name in source: JOURNAL OF MATHEMATICAL PHYSICS
Journal acronym: J MATH PHYS
Volume: 43
Issue: 3
First page : 1299
Last page: 1308
Number of pages: 10
ISSN: 0022-2488
DOI: https://doi.org/10.1063/1.1446663
Abstract
We study the mathematical structure of covariant phase observables. Such observables can alternatively be expressed as phase matrices, as sequences of unit vectors, as sequences of phase states, or as equivalence classes of covariant trace-preserving operations. Covariant generalized operator measures are defined by structure matrices which form a W-*-algebra with phase matrices as its subset. The properties of the Radon-Nikodym derivatives of phase probability measures are studied. (C) 2002 American Institute of Physics.
We study the mathematical structure of covariant phase observables. Such observables can alternatively be expressed as phase matrices, as sequences of unit vectors, as sequences of phase states, or as equivalence classes of covariant trace-preserving operations. Covariant generalized operator measures are defined by structure matrices which form a W-*-algebra with phase matrices as its subset. The properties of the Radon-Nikodym derivatives of phase probability measures are studied. (C) 2002 American Institute of Physics.
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