Daniel McNulty, Stefan Weigert
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. We illustrate the method for many product dimensions d<100 by analytically deriving complex Hadamard matrices, both with zero and non-zero defect. In particular, we obtain at least 12 new isolated Butson-type Hadamard matrices of orders ranging from 9 to 91.
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http://arxiv.org/abs/1208.1057
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