期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2008
卷号：70
期号：01
页码：25--37
出版社：Indian Statistical Institute
摘要：This paper concerns the design problem of choosing the measurement that
provides the maximum Fisher information for the unknown parameter of a
quantum system.
We show that when the system under investigation is described by a one-
parameter n-dimensional pure state model an optimal measurement exists,
such that Fisher information attains the upper bound constituted by Hel-
strom information. A characterisation theorem and two strategies of im-
plementations are derived and discussed. These results generalise to n-
dimensional spaces those obtained for n = 2 by Barndorff-Nielsen and Gill
(2000).
关键词：Classical and quantum information, Cramer-Rao
type bounds, attaining measurements, rank-one matrices, spin systems.
