# A Concise Guide to Complex Hadamard Matrices

@article{Tadej2006ACG, title={A Concise Guide to Complex Hadamard Matrices}, author={Wojciech Tadej and Karol Życzkowski}, journal={Open Systems \& Information Dynamics}, year={2006}, volume={13}, pages={133-177} }

Complex Hadamard matrices, consisting of unimodular entries with arbitrary phases, play an important role in the theory of quantum information. We review basic properties of complex Hadamard matrices and present a catalogue of inequivalent cases known for the dimensions N = 2,..., 16. In particular, we explicitly write down some families of complex Hadamard matrices for N = 12,14 and 16, which we could not find in the existing literature.

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