Unbiased complex Hadamard matrices and bases
Combinatorics
2012-09-20 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1209.4315,
title = {Unbiased complex Hadamard matrices and bases},
author = {Darcy Best and Hadi Kharaghani},
journal= {arXiv preprint arXiv:1209.4315},
year = {2012}
}