Abstract: The advent of noisy intermediate quantum scale (NISQ) devices has sparked rapidly growing interest in non-equilibrium quantum dynamics. An outstanding question in this field is understanding universal properties of equilibrating quantum systems. At late times, relaxation of local densities of conserved quantities dominates the approach towards equilibrium, leading to an emergent hydrodynamic description at late times. Random unitary circuits offer a useful approach to exploring emergent hydrodynamics, providing analytic and numerical tractability through the study of ensemble-averaged quantities. Using random unitary circuits, I’ll demonstrate how anomalous hydrodynamics can arise in one dimension in the presence of kinetic constraints. Additionally, I’ll discuss recent work on two dimensional random unitary circuits where we can observe Navier-Stokes hydrodynamics.