On the structure of covariant phase observables

Details On the structure of covariant phase observables On the structure of covariant phase observables

2001-08-23

arxiv.org/abs/quant-ph/0108105v2

J. Math. Phys. 43 (2002) 1299-1308

Physics

Quantum Physics

11 pages

Scientific paper

We study the mathematical structure of covariant phase observables. Such an observable can alternatively be expressed as a phase matrix, as a sequence of unit vectors, as a sequence of phase states, or as an equivalent class 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.

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