Tuesday, August 7, 2012

1208.1057 (Daniel McNulty et al.)

Isolated Hadamard Matrices from Mutually Unbiased Product Bases    [PDF]

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.
View original: http://arxiv.org/abs/1208.1057

No comments:

Post a Comment