Isolated Hadamard Matrices from Mutually Unbiased Product Bases
نویسندگان
چکیده
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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