  The tripartite information is an observable-independent measure for
scrambling and delocalization of information. Therefore one can expect that the
tripartite information is a good observable-independent indicator for
distinguishing between many-body localized and delocalized regimes, which we
confirm for the XXZ-chain in a random field. Specifically, we find that the
tripartite information signal spreads inside a lightcone that only grows
logarithmically in time in the many-body localized regime similar to the
entanglement entropy. We also find that the tripartite information eventually
reaches a plateau with an asymptotic value that is suppressed by strong
disorder.
