Isolated Hadamard Matrices from Mutually Unbiased Product Bases
  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. 
Daniel McNulty, Stefan Weigert
math-ph math.MP quant-ph