On quantum statistical inference

• 成果类型: Article
• 署名作者: Barndorff-Nielsen, OE; Gill, RD; Jupp, PE
• 署名单位: Utrecht University; Aarhus University; University of St Andrews
• 刊物名称: JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
• ISSN/ISSBN: 1369-7412
• DOI: 10.1111/1467-9868.00415
• 发表日期: 2003
• 页码: 775-805
• 关键词: Levy processes; local cuts

摘要

Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, developments in the theory of quantum measurements have brought the basic mathematical framework for the probability calculations much closer to that of classical probability theory. The present paper reviews this field and proposes and interrelates some new concepts for an extension of classical statistical inference to the quantum context.