Isolated Hadamard Matrices from Mutually Unbiased Product Bases
Mathematical Physics
2012-12-05 v2 math.MP
Quantum Physics
Abstract
A new construction of complex Hadamard matrices of composite order d=pq, with primes p,q, is presented which is based on pairs of mutually unbiased bases containing only product states. For product dimensions d < 100, we illustrate the method by deriving many previously unknown complex Hadamard matrices. We obtain at least 12 new isolated matrices of Butson type, with orders ranging from 9 to 91.
Keywords
Cite
@article{arxiv.1208.1057,
title = {Isolated Hadamard Matrices from Mutually Unbiased Product Bases},
author = {Daniel McNulty and Stefan Weigert},
journal= {arXiv preprint arXiv:1208.1057},
year = {2012}
}
Comments
21 pages, identical to published version