Towards a classification of 6 × 6 complex hadamard matrices

Open Systems and Information Dynamics

Volumn 15, Issue 2, 2008, Pages 93-108

  Matolcsi, Máté ^a   Szöllsi, Ferenc ^b  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^b BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 69649104843     PISSN: 12301612     EISSN: None     Source Type: Journal    
DOI: 10.1142/S1230161208000092     Document Type: Article

References (14)

1. S. S. Agaian, Hadamard Matrices and Their Applications, Lecture Notes in Mathematics 1168, Springer-Verlag, Berlin, 1985.
2. K. Beauchamp, R. Nicoara, Orthogonal maximal Abelian z.ast;-subalgebras of the 6 × 6 matrices, arxiv preprint math: 0609076.
3. I. Bengtsson, W. Bruzda, A. Ericsson, J.-A. Larsson, W. Tadej, K. Zyczkowski, MUBs and Hadamards of Order Six, J. Math. Phys. 48, 052106 (2007).
4. P. Di̧ta, Some results on the parametrization of complex Hadamard matrices, J. Phys. A 37, 5355 (2004).
5. U. Haagerup, Ortogonal maximal Abelian z.ast;-subalgebras of n × n matrices and cyclic n-roots, Operator Algebras and Quantum Field Theory (Rome), Cambridge, MA International Press, 1996, pp. 296-322.
6. P. de la Harpe, V. F. R. Jones, Paires de sous-algebres semi-simples et graphes fortement reguliers, C. A. Acad. Sci. Paris, 311, serie I, 147 (1990).
7. M. Matolcsi, J. Ŕeffy, F. Sz̈ollösi, Constructions of complex Hadamard matrices via tiling Abelian groups, Open Sys. Information Dyn. 14, 247 (2007).
8. A. Munemasa, Y. Watatani, Orthogonal pairs of z.ast;-subalgebras and association schemes, C. R. Acad. Sci. Paris 314, serie I, 329 (1992).
9. R. Nicoara, A finiteness result for commuting squares of matrix algebras, J. Operator Theory 55, 295 (2006).
10. S. Popa, Orthogonal pairs of z.ast;-subalgebras in finite von Neumann algebras, J. Operator Theory 9, 253 (1983).
11. F. Sz̈ollösi, Parametrizing Complex Hadamard Matrices, Eur. J. Combinatorics, to appear
12. W. Tadej, K. Zyczkowski, A concise guide to complex Hadamard matrices, Open Sys. Information Dyn. 13, 133 (2006).
13. Website for complex Hadamard matrices: http://chaos.if.uj.edu.pl/ ̃karol/hadamard/
14. R.F. Werner, All teleportation and dense coding schemes, J. Phys. A 34, 7081 (2001).