  We present an analysis of the entangling quantum kicked top focusing on the
few qubit case and the initial condition dependence of the time-averaged
entanglement $S_Q$ for spin-coherent states. We show a very strong connection
between the classical phase space and the initial condition dependence of $S_Q$
even for the extreme case of two spin-$1/2$ qubits. This correlation is not
related directly to chaos in the classical dynamics. We introduce a measure of
the behavior of a classical trajectory which correlates far better with the
entanglement and show that the maps of classical and quantum initial-condition
dependence are both organized around the symmetry points of the Hamiltonian. We
also show clear (quasi-)periodicity in entanglement as a function of number of
kicks and of kick strength.
