Covariant fuzzy observables and coarse-graining
Quantum Physics
2009-11-10 v1
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.
Cite
@article{arxiv.quant-ph/0312142,
title = {Covariant fuzzy observables and coarse-graining},
author = {T. Heinonen and P. Lahti and K. Ylinen},
journal= {arXiv preprint arXiv:quant-ph/0312142},
year = {2009}
}
Comments
19 pages