QUANTUM FISHER METRIC AND ESTIMATION FOR PURE STATE MODELS

被引：125

作者：

FUJIWARA, A

NAGAOKA, H

机构：

[1] UNIV TOKYO,DEPT MATH ENGN & INFORMAT PHYS,TOKYO 113,JAPAN

[2] UNIV ELECTROCOMMUN,GRAD SCH INFORMAT SCI,TOKYO 182,JAPAN

来源：

PHYSICS LETTERS A | 1995年 / 201卷 / 2-3期

关键词：

D O I：

10.1016/0375-9601(95)00269-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A statistical parameter estimation theory for quantum pure state models is presented. We first investigate the basic framework of pure state estimation theory and derive quantum counterparts of the Fisher metric. We then formulate a one-parameter estimation theory, based on symmetric logarithmic derivatives, and clarify the differences between pure state models and strictly positive models.

引用

页码：119 / 124

页数：6

共 14 条

[1] QUANTIZED GEOMETRY ASSOCIATED WITH UNCERTAINTY AND CORRELATION [J].

ABE, S .

PHYSICAL REVIEW A, 1993, 48 (06) :4102-4106

[2]

[Anonymous], 1976, MATH SCI ENG

[3]

FUJIWARA A, 1994, 9410 U TOK MATH ENG

[4]

FUJIWARA A, 1994, 949 U TOK MATH ENG T

[5]

FUJIWARA A, 1994, 9411 U TOK MATH ENG

[6] MINIMUM MEAN-SQUARED ERROR OF ESTIMATES IN QUANTUM STATISTICS [J].

HELSTROM, CW .

PHYSICS LETTERS A, 1967, A 25 (02) :101-&

[7]

HOLEVO AS, 1982, PROBABILISTIC STATIS

[8]

KOBAYASHI S, 1969, F DIFFERENTIAL GEOME, V2

[9]

NAGAOKA H, 1987, SITA 87, P241

[10]

Nagaoka H., 1989, IT8942 IEICE, P9

← 1 2 →