Covariant fuzzy observables and coarse-graining

Details Covariant fuzzy observables and coarse-graining Covariant fuzzy observables and coarse-graining

2003-12-16

arxiv.org/abs/quant-ph/0312142v1

Rep. Math. Phys. 53 (2004) 425-441.

Physics

Quantum Physics

19 pages

Scientific paper

10.1016/S0034-4877(04)90028-6

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.

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