Comment on "A Recursive Parametrisation of Unitary Matrices"
arXiv:math-ph/0505047
Abstract
In this note we make a comment on the paper by Jarlskog (math-ph/0504049) in which she gave a parametrisation to unitary matrices. Namely, we show that her recursive method is essentially obtained by the canonical coordinate of the second kind in the Lie group theory, and propose a problem on constructing unitary gates in quantum computation by making use of the parametrisation.
Latex files, 6 pages. Typos corrected