Properties of probability measures on the set of quantum states and their applications
Mathematical Physics
2011-03-29 v4 Functional Analysis
math.MP
Quantum Physics
Abstract
Two basic properties of the set of all probability measures on the set of quantum states and their corollaries are considered. Several applications of these properties to analysis of functional constructions widely used in quantum information theory are discussed.
Keywords
Cite
@article{arxiv.math-ph/0607019,
title = {Properties of probability measures on the set of quantum states and their applications},
author = {M. E. Shirokov},
journal= {arXiv preprint arXiv:math-ph/0607019},
year = {2011}
}
Comments
19 pages; completely revised version, several new results have been added