The canonical coset decomposition of unitary matrices through Householder transformations

被引:13
作者
Cabrera, Renan [1 ]
Strohecker, Traci [1 ]
Rabitz, Herschel [1 ]
机构
[1] Princeton Univ, Dept Chem, Princeton, NJ 08544 USA
关键词
PARAMETRIZATION; COMPUTATION; ANGLE;
D O I
10.1063/1.3466798
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper reveals the relation between the canonical coset decomposition of unitary matrices and the corresponding decomposition via Householder reflections. These results can be used to parametrize unitary matrices via Householder reflections. (C) 2010 American Institute of Physics. [doi:10.1063/1.3466798]
引用
收藏
页数:7
相关论文
共 21 条
[1]   An explicit computation of the Bures metric over the space of N-dimensional density matrices [J].
Akhtarshenas, S. J. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (37) :11333-11341
[2]   Canonical coset parametrization and the Bures metric of the three-level quantum systems [J].
Akhtarshenas, S. J. .
JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (01)
[3]  
[Anonymous], 2002, Texts in Applied Mathematics
[4]   Volumes of compact manifolds [J].
Boya, LJ ;
Sudarshan, ECG ;
Tilma, T .
REPORTS ON MATHEMATICAL PHYSICS, 2003, 52 (03) :401-422
[5]   Calculation of the unitary part of the Bures measure for N-level quantum systems [J].
Cabrera, Renan ;
Rabitz, Herschel .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (44)
[6]   Factorization of unitary matrices [J].
Dita, P .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (11) :2781-2789
[7]   Jarlskog's parametrization of unitary matrices and qudit theory [J].
Fujii, K ;
Funahashi, K ;
Kobayashi, T .
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2006, 3 (02) :269-283
[8]  
GILMORE R, 2008, LIE GROUPS LIE ALGEB
[9]  
GILMORE R, 1973, LIE GROUPS LIE ALGEB
[10]   COMPUTATION OF PLANE UNITARY ROTATIONS TRANSFORMING A GENERAL MATRIX TO TRIANGULAR FORM [J].
GIVENS, W .
JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1958, 6 (01) :26-50