Covariant fuzzy observables and coarse-graining

Abstract

A fuzzy observable is regarded as a smearing of a sharp observable, and the structure of covariant fuzzy observables is studied. It is shown that the covariant coarse-grainings of sharp observables are exactly the covariant fuzzy observables. A necessary and sufficient condition for a covariant fuzzy observable to be informationally equivalent to the corresponding sharp observable is given.

19 pages

References in corpus (3)

• The Standard Model of Quantum Measurement Theory: History and Applications
• The norm-1-property of a quantum observable
• Covariant localizations in the torus and the phase observables

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