A two-parameter family of complex Hadamard matrices of order 6 induced by hypocycloids
Operator Algebras
2009-03-03 v2
Abstract
Constructions of Hadamard matrices from smaller blocks is a well-known technique in the theory of real Hadamard matrices: tensoring Hadamard matrices and the classical arrays of Williamson, Ito are all procedures involving smaller order building blocks. We apply a new block-construction for order 6 to obtain a previously unknown 2-dimensional family of complex Hadamard matrices. Our results extend the families D_6(t) and B_6(t) found by various authors recently. As a direct application the existence of a 2-parameter family of MUB-triplets of order 6 is shown.
Cite
@article{arxiv.0811.3930,
title = {A two-parameter family of complex Hadamard matrices of order 6 induced by hypocycloids},
author = {Ferenc Szöllősi},
journal= {arXiv preprint arXiv:0811.3930},
year = {2009}
}
Comments
10 pages, 1 figure, a new section added. Revised and submitted version