  The geometric measure of entanglement is the distance or angle between an
entangled target state and the nearest unentangled state. Often one considers
the geometric measure of entanglement for highly symmetric entangled states
because it simplifies the calculations and allows for analytic solutions.
Although some symmetry is required in order to deal with large numbers of
qubits, we are able to loosen significantly the restrictions on the highly
symmetric states considered previously, and consider several generalizations of
the coefficients of both target and unentangled states. This allows us to
compute the geometric entanglement measure for larger and more relevant classes
of states.
