QUANTUM LOCAL ASYMPTOTIC NORMALITY BASED ON A NEW QUANTUM LIKELIHOOD RATIO
成果类型：
Article
署名作者：
Yamagata, Koichi; Fujiwara, Akio; Gill, Richard D.
署名单位：
University of Osaka; Leiden University - Excl LUMC; Leiden University
刊物名称：
ANNALS OF STATISTICS
ISSN/ISSBN：
0090-5364
DOI：
10.1214/13-AOS1147
发表日期：
2013
页码：
2197-2217
关键词：
摘要：
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.