Notes on coarse grainings and functions of observables
Quantum Physics
2009-11-10 v1
Abstract
Using the Naimark dilation theory we investigate the question under what conditions an observable which is a coarse graining of another observable is a function of it. To this end, conditions for the separability and for the Boolean structure of an observable are given.
Cite
@article{arxiv.quant-ph/0411136,
title = {Notes on coarse grainings and functions of observables},
author = {A. Dvurecenskij and P. Lahti and S. Pulmannova and K. Ylinen},
journal= {arXiv preprint arXiv:quant-ph/0411136},
year = {2009}
}