Approximately Clean Quantum Probability Measures
Abstract
A quantum probability measure--or quantum measurement--is said to be clean if it cannot be irreversibly connected to any other quantum probability measure via a quantum channel. The notion of a clean quantum measure was introduced by Buscemi et al (2005) for finite-dimensional Hilbert space, and was studied subsequently by Kahn (2007) and Pellonp\"a\"a (2011). The present paper provides new descriptions of clean quantum probability measures in the case of finite-dimensional Hilbert space. For Hilbert spaces of infinite dimension, we introduce the notion of `approximately clean quantum probability measures' and characterise this property for measures whose range determines a finite-dimensional operator system.
Cite
@article{arxiv.1811.11857,
title = {Approximately Clean Quantum Probability Measures},
author = {Douglas Farenick and Remus Floricel and Sarah Plosker},
journal= {arXiv preprint arXiv:1811.11857},
year = {2018}
}
Comments
14 pages; fixed/added some details not found in published version