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

页码：199 / 209

页数：11

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