P Dita 2004 J. Phys. A: Math. Gen. 37 5355 doi:10.1088/0305-4470/37/20/008
P Dita
Show affiliationsIn this paper we provide an analytical procedure which leads to a system of (n − 2)2 polynomial equations whose solutions give the parametrization of the complex n × n Hadamard matrices. It is shown that in general the Hadamard matrices depend on a number of arbitrary phases and a lower bound for this number is given. The moduli equations define interesting geometrical objects whose study will shed light on the parametrization of the Hadamard matrices, as well as on some interesting geometrical varieties defined by them.
03.67.Mn Entanglement measures, witnesses, and other characterizations
03.65.Ta Foundations of quantum mechanics; measurement theory
15A57 Other types of matrices (Hermitian, skew-Hermitian, etc.)
81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
Issue 20 (21 May 2004)
Received 9 December 2003, in final form 10 March 2004
Published 5 May 2004
P Dita 2004 J. Phys. A: Math. Gen. 37 5355
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