A concise guide to complex Hadamard matrices
量子物理
2007-05-23 v2 组合数学
环与代数
摘要
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.
引用
@article{arxiv.quant-ph/0512154,
title = {A concise guide to complex Hadamard matrices},
author = {Wojciech Tadej and Karol Zyczkowski},
journal= {arXiv preprint arXiv:quant-ph/0512154},
year = {2007}
}
备注
56 pages, no figures, an updated on line version at http://chaos.if.uj.edu.pl/~karol/hadamard/