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A concise guide to complex Hadamard matrices (2005)

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

Publication details
Download http://arxiv.org/abs/quant-ph/0512154
Repository arXiv (United States)
Keywords Quantum Physics, Mathematics - Combinatorics, Mathematics - Rings and Algebras
Type text