ar X iv : m at h - ph / 0 20 50 16 v 2 1 9 M ay 2 00 2 Generalized Euler Angle Parameterization for SU ( N ) Todd
نویسنده
چکیده
In a previous paper [1] an Euler angle parameterization for SU(4) was given. Here we present the derivation of a generalized Euler angle parameterization for SU(N). The formula for the calculation of the Haar measure for SU(N) as well as its relation to Marinov’s volume formula for SU(N) [2,3] will also be derived. As an example of this parameterization’s usefulness, the density matrix parameterization and Haar measure for three qubit states and two three-state systems, also known as two qutrit systems [4], will also be given. ∗[email protected] †[email protected]
منابع مشابه
ar X iv : m at h - ph / 0 20 50 16 v 1 1 2 M ay 2 00 2 Generalized Euler Angle Parameterization for SU ( N )
In a previous paper [1] an Euler angle parameterization for SU(4) was given. Here we present the derivation of a generalized Euler angle parameterization for SU(N). The formula for the calculation of the Haar measure for SU(N) as well as its relation to Marinov’s volume formula for SU(N) [2,3] will also be derived. As an example of this parameterization’s usefulness, the density matrix paramete...
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