A new approach to the Cramer-Rao-type bound of the pure-state model

被引:167
作者
Matsumoto, K [1 ]
机构
[1] Quantum Computat & Informat Project, Bunkyo Ku, Tokyo 1130033, Japan
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 13期
关键词
D O I
10.1088/0305-4470/35/13/307
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper sheds light on non-commutativity in quantum theory as, regards theoretical estimation. In it, we calculate the quantum Cramer-Rao-type bound for many cases, by use of a newly proposed powerful technique. We also discuss the use of collective measurement in statistical estimation.
引用
收藏
页码:3111 / 3123
页数:13
相关论文
共 37 条
[1]   QUANTIZED GEOMETRY ASSOCIATED WITH UNCERTAINTY AND CORRELATION [J].
ABE, S .
PHYSICAL REVIEW A, 1993, 48 (06) :4102-4106
[2]  
ACTIN A, 1999, QUANTPH9904056 LANL
[3]  
BENETT C, 1998, QUANTPH9804053 LANL
[4]  
BUZEK V, 1996, PHYS REV A, V54
[5]   Impossibility of measuring the wave function of a single quantum system [J].
DAriano, GM ;
Yuen, HP .
PHYSICAL REVIEW LETTERS, 1996, 76 (16) :2832-2835
[6]  
DAriano GM, 1997, QUANTUM COMMUNICATION, COMPUTING, AND MEASUREMENT, P253
[7]  
DARIANO GM, 1997, QUANTPH9701011
[8]   An estimation theoretical characterization of coherent states [J].
Fujiwara, A ;
Nagaoka, H .
JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (09) :4227-4239
[9]   QUANTUM FISHER METRIC AND ESTIMATION FOR PURE STATE MODELS [J].
FUJIWARA, A ;
NAGAOKA, H .
PHYSICS LETTERS A, 1995, 201 (2-3) :119-124
[10]  
FUJIWARA A, 1993, COMMUNICATION