Two-parameter complex Hadamard matrices for N=6

被引：11

作者：

Karlsson, Bengt R. ^{[1
]}

机构：

[1] Uppsala Univ, Dept Phys & Astron, SE-75120 Uppsala, Sweden

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 08期

关键词：

D O I：

10.1063/1.3198230

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new, two-parameter, nonaffine family of complex Hadamard matrices of order 6 is reported. It interpolates between the two Fourier families and contains as one-parameter subfamilies the Dita family, a symmetric family, and an almost (up to equivalence) self-adjoint family. (C) 2009 American Institute of Physics. [DOI: 10.1063/1.3198230]

引用

页数：8

共 10 条

[1] Orthogonal maximal abelian *-subalgebras of the 6x6 matrices [J].

Beauchamp, Kyle ;

Nicoara, Remus .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (8-9) :1833-1853

[2] Mutually unbiased bases and Hadamard matrices of order six [J].

Bengtsson, Ingemar ;

Bruzda, Wojciech ;

Ericsson, Asa ;

Larsson, Jan-Ake ;

Tadej, Wojciech ;

Zyczkowski, Karol .

JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (05)

[3] Constructing mutually unbiased bases in dimension six [J].

Brierley, Stephen ;

Weigert, Stefan .

PHYSICAL REVIEW A, 2009, 79 (05)

[4] Some results on the parametrization of complex Hadamard matrices [J].

Dita, P .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (20) :5355-5374

[5]

MATOLCSI M, ARXIVMATHPH0702043VI

[6] Towards a Classification of 6 x 6 Complex Hadamard Matrices [J].

Matolcsi, Mate ;

Szollosi, Ferenc .

OPEN SYSTEMS & INFORMATION DYNAMICS, 2008, 15 (02) :93-108

[7] Unbiased bases (Hadamards) for six-level systems: Four ways from Fourier [J].

Skinner, A. J. ;

Newell, V. A. ;

Sanchez, R. .

JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (01)

[8]

SZOLLOSI F, ARXIVMATHPH08113930V

[9]

TADEJ W, ARXIVQUANTPH0512154

[10] A concise guide to complex Hadamard matrices [J].

Tadej, Wojciech ;

Zyczkowski, Karol .

OPEN SYSTEMS & INFORMATION DYNAMICS, 2006, 13 (02) :133-177

← 1 →