Covariant fuzzy observables and coarse-graining |
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| Authors: | Teiko Heinonen Pekka Lahti |
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| Affiliation: | 1 Department of Physics, University of Turku, FIN-20014 Turku, Finland
2 Department of Mathematics, University of Turku, FIN-20014 Turku, Finland |
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| 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. |
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| Keywords: | fuzzy observable covariance coarse-graining informational equivalence |
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