W. Tadej, K. Życzkowski
2005.12.19OPEN SYSTEMS & INFORMATION DYNAMICS
tlooto Summary
Basic properties of complex Hadamard matrices are reviewed and a catalogue of inequivalent cases known for the dimensions N = 2, 16, 12, 14 and 16 are presented.
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 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.
Citation format
TADEJ, W.; ŻYCZKOWSKI, K. A concise guide to complex hadamard matrices [preprint]. arXiv, 2005. arXiv:quant-ph/0512154.