Hadamard Matrices from Mutually Unbiased Bases

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1063/1.3456082

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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