Entanglement generation from deformed spin coherent states using a beam splitter

Using the linear entropy as a measure of entanglement, we investigate the effect of a beam splitter on the Perelomov coherent states for the q-deformed U-q (su(2)) algebra. We distinguish two cases: in the classical q -> 1 limit, we find that the states become Glauber coherent states as the spin tends to infinity; whereas for q not equal 1, the states, contrary to the earlier case, become entangled as they pass through a beam splitter. The entanglement strongly depends on the q-deformation parameter and the amplitude Z of the state.