Almost Hadamard Matrices: General Theory and Examples

被引：15

作者：

Banica, Teodor ^{[1
]}

Nechita, Ion ^{[2
]}

Zyczkowski, Karol ^{[3
,4
]}

机构：

[1] Cergy Pontoise Univ, Dept Math, F-95000 Cergy Pontoise, France

[2] Univ Toulouse, Phys Theor Lab, CNRS, IRSAMC,UPS, F-31062 Toulouse, France

[3] Jagiellonian Univ, Inst Phys, Krakow, Poland

[4] Polish Acad Sci, Ctr Theoret Phys, Warsaw, Poland

来源：

OPEN SYSTEMS & INFORMATION DYNAMICS | 2012年 / 19卷 / 04期

关键词：

MUTUALLY UNBIASED BASES; UNITARY; STATE;

D O I：

10.1142/S1230161212500242

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a general theory of almost Hadamard matrices. These are by definition the matrices H is an element of M-N(R) having the property that U = H/root N is orthogonal, and is a local maximum of the 1-norm on O(N). Our study includes a detailed discussion of the circulant case (H-ij = gamma(j-i)) and of the two-entry case (H-ij is an element of {x, y}), with the construction of several families of examples, and some 1-norm computations.

引用

页数：26

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