论文信息 - Three-parameter complex Hadamard matrices of order 6

Three-parameter complex Hadamard matrices of order 6

A three-parameter family of complex Hadamard matrices of order 6 is presented. It significantly extends the set of closed form complex Hadamard matrices of this order, and in particular contains all previously described one- and two-parameter families as subfamilies.

Bengt R. Karlsson

[1] Wojciech T. Bruzda,et al. Mutually unbiased bases and Hadamard matrices of order six , 2007 .

[2] Wojciech Tadej,et al. A Concise Guide to Complex Hadamard Matrices , 2006, Open Syst. Inf. Dyn..

[3] P. Dita,et al. Some results on the parametrization of complex Hadamard matrices , 2004 .

[4] Ferenc Szöllösi,et al. Towards a Classification of 6 × 6 Complex Hadamard Matrices , 2008, Open Syst. Inf. Dyn..

[5] B. Karlsson,et al. H-2-reducible complex Hadamard matrices of order 6 , 2011 .

[6] J. Llibre,et al. One-dimensional quaternion homogeneous polynomial differential equations , 2009 .

[7] B. Karlsson. Two-parameter complex Hadamard matrices for N=6 , 2009, 0908.2555.

[8] Kyle Beauchamp,et al. Orthogonal maximal abelian *-subalgebras of the 6×6 matrices , 2006 .

[9] A. J. Skinner,et al. Unbiased bases (Hadamards) for six-level systems : Four ways from Fourier , 2009 .