LAUSR

We study the growth of genuine multipartite entanglement in random unitary circuit models consisting of both short- and long-range unitaries. We observe that circuits with short-range unitaries are optimal for generating large global entanglement, which, interestingly, is found to be close to the global entanglement in random matrix product states with moderately high bond dimension. Furthermore, the behavior of multipartite entanglement can be related to other global properties of the system, viz. the delocalization of the many-body wavefunctions. Moreover, we show that the circuit can sustain a finite amount of genuine multipartite entanglement even when it is monitored through weak measurements.