Unbiased complex Hadamard matrices and bases

被引：8
|
作者：
Best, Darcy [1 ]
Kharaghani, Hadi [1 ]
机构：
[1] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada
来源：
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2010年 / 2卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Complex Hadamard matrices; Real Hadamard matrices; Unbiased Hadamard matrices; Unbiased bases;
D O I：
10.1007/s12095-010-0029-8
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We introduce mutually unbiased complex Hadamard (MUCH) matrices and show that the number of MUCH matrices of order 2n, n odd, is at most 2 and the bound is attained for n = 1, 5, 9. Furthermore, we prove that certain pairs of mutually unbiased complex Hadamard matrices of order m can be used to construct pairs of unbiased real Hadamard matrices of order 2m. As a consequence we generate a new pair of unbiased real Hadamard matrices of order 36.
引用
收藏
页码：199 / 209
页数：11
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