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.
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页数：26
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