Deformed Fourier matrices in bistochastic form

Abstract

Many interesting examples of complex Hadamard matrices H∈ MN( C) can be put, up to the standard equivalence relation for such matrices, in bistochastic form. We discuss here this phenomenon, with a number of computations for some of the most basic such matrices, namely the deformations of the Fourier matrix FN∈ MN( C).

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