  Here we apply our SU(N) and U(N) parameterizations to the question of
entanglement in the two qubit and qubit/qutrit 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. Extension of this work to the
qubit/qutrit system will also be given.
