Uniform continuity of POVMs
Quantum Physics
2015-06-16 v1
Abstract
Recently a characterization of uniformly continuous POVMs and a necessary condition for a uniformly continuous POVM to have the norm-1 property have been provided. Moreover it was proved that in the commutative case, uniform continuity corresponds to the existence of a Feller Markov kernel. We apply such results to the analysis of some relevant physical examples; i.e., the phase space localization observables, the unsharp phase observable and the unsharp number observable of which we study the uniform continuity, the norm-1 property and the existence of a Feller Markov kernel.
Cite
@article{arxiv.1307.5733,
title = {Uniform continuity of POVMs},
author = {Roberto Beneduci},
journal= {arXiv preprint arXiv:1307.5733},
year = {2015}
}
Comments
16 pages. arXiv admin note: substantial text overlap with arXiv:1207.0086