Usage of an Euler Angle Parameterization of SU(N) and U(N) for Entanglement Calculations on a Two-Qubit System

Here we apply our SU(N) and U(N) parameterizations to the question of entanglement in the two-qubit system. In particular, the group operations which entangle a two-qubit pure state will be given, as well as the corresponding manifold that the operations parameterize. We also give the volume of this manifold, as well as the hypothesized volume for the set of all entangled two-qubit pure and mixed states.