COMPUTATION OF UHLMANN PARALLEL TRANSPORT FOR DENSITY-MATRICES AND THE BURES METRIC ON 3-DIMENSIONAL HILBERT-SPACE

被引：110

作者：

HUBNER, M

机构：

[1] Theoretische Physik, Ludwig-Maximillians-Universität, W-8000 Munich 2

来源：

PHYSICS LETTERS A | 1993年 / 179卷 / 4-5期

关键词：

D O I：

10.1016/0375-9601(93)90668-P

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We compute the Uhlmann parallel transport for two-dimensional density matrices (spin 1/2) explicitly and derive a general formula for the n-dimensional case. Then the Bures metric and the Uhlmann transport on the space of density matrices on a three-dimensional Hilbert space (spin 1) are calculated.

引用

页码：226 / 230

页数：5

共 9 条

[1] QUANTUM STATISTICAL HOLONOMY [J].

DABROWSKI, L ;

JADCZYK, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (15) :3167-3170

[2] ON QUANTUM HOLONOMY FOR MIXED STATES [J].

DABROWSKI, L ;

GROSSE, H .

LETTERS IN MATHEMATICAL PHYSICS, 1990, 19 (03) :205-210

[3]

DITTMANN J, IN PRESS COMMUNICATI

[4] HOLONOMY ON LIE-GROUPS AND ENERGY UNCERTAINTY [J].

HUBNER, M .

PHYSICS LETTERS A, 1993, 179 (4-5) :221-225

[5] EXPLICIT COMPUTATION OF THE BURES DISTANCE FOR DENSITY-MATRICES [J].

HUBNER, M .

PHYSICS LETTERS A, 1992, 163 (04) :239-242

[6]

HUBNER M, 1991, THESIS LEIPZIG U

[7]

UHLMANN A, 1989, ANN PHYS-LEIPZIG, V46, P63, DOI 10.1002/andp.19895010108

[8]

Uhlmann A., 1986, Reports on Mathematical Physics, V24, P229, DOI 10.1016/0034-4877(86)90055-8

[9]

UHLMANN A, 1987, DIFFERENTIAL GEOMETR, P246

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