Quantum local asymptotic normality based on a new quantum likelihood ratio
Quantum Physics
2013-11-11 v3 Statistics Theory
Applications
Statistics Theory
Abstract
We develop a theory of local asymptotic normality in the quantum domain based on a novel quantum analogue of the log-likelihood ratio. This formulation is applicable to any quantum statistical model satisfying a mild smoothness condition. As an application, we prove the asymptotic achievability of the Holevo bound for the local shift parameter.
Keywords
Cite
@article{arxiv.1210.3749,
title = {Quantum local asymptotic normality based on a new quantum likelihood ratio},
author = {Koichi Yamagata and Akio Fujiwara and Richard D. Gill},
journal= {arXiv preprint arXiv:1210.3749},
year = {2013}
}
Comments
Published in at http://dx.doi.org/10.1214/13-AOS1147 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)