Complex Hadamard Matrices from Sylvester Inverse Orthogonal Matrices

Author:

Diţă Petre1

Affiliation:

1. National Institute of Physics and Nuclear Engineering, P.O. Box MG6, Bucharest, Romania

Abstract

A novel method to obtain parametrizations of complex inverse orthogonal matrices is provided. These matrices are natural generalizations of complex Hadamard matrices which depend on complex parameters. The method we use is via doubling the size of inverse complex conference matrices. When the free parameters take values on the unit circle the inverse orthogonal matrices transform into complex Hadamard matrices, and in this way we find new parametrizations of Hadamard matrices for dimensions n = 8, 10, and 12.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Hermitian unitary matrices with modular permutation symmetry;Linear Algebra and its Applications;2015-03

2. A new method to construct families of complex Hadamard matrices in even dimensions;Journal of Mathematical Physics;2013-03

3. Isolated Hadamard matrices from mutually unbiased product bases;Journal of Mathematical Physics;2012-12

4. On quaternary complex Hadamard matrices of small orders;Advances in Mathematics of Communications;2011-05

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