A concise guide to complex Hadamard matrices

Details A concise guide to complex Hadamard matrices A concise guide to complex Hadamard matrices

2005-12-19

arxiv.org/abs/quant-ph/0512154v2

Open Syst. Inf. Dyn. 13, 133-177 (2006)

Physics

Quantum Physics

56 pages, no figures, an updated on line version at http://chaos.if.uj.edu.pl/~karol/hadamard/

Scientific paper

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 dimension 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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