  We study multipartite entanglement measures for a one-dimensional Ising chain
that is capable of showing both integrable and nonintegrable behaviour. This
model includes the kicked transverse Ising model, which we solve exactly using
the Jordan-Wigner transform, as well as nonintegrable and mixing regimes. The
cluster states arise as a special case and we show that while one measure of
entanglement is large, another measure can be exponentially small, while
symmetrizing these states with respect to up and down spins, produces those
with large entanglement content uniformly. We also calculate exactly some
entanglement measures for the nontrivial but integrable case of the kicked
transverse Ising model. In the nonintegrable case we begin on extensive
numerical studies that shows that large multipartite entanglement is
accompanied by diminishing two-body correlations, and that time averaged
multipartite entanglement measures can be enhanced in nonintegrable systems.
