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Hadamard Matrices from Mutually Unbiased Bases

Published 26 Feb 2010 in math-ph and math.MP | (1002.4933v2)

Abstract: An analytical method for getting new complex Hadamard matrices by using mutually unbiased bases and a nonlinear doubling formula is provided. The method is illustrated with the n=4 case that leads to a rich family of eight-dimensional Hadamard matrices that depend on five arbitrary parameters whose modulus is equal to unity.

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