Topological quantum transport and spatial entanglement distribution via a disordered bulk channel

We show how to implement quantum transport, generate entangled state, and achieve spatial entanglement distribution via topological Thouless pumping in one-dimensional disordered lattices. We introduce the on-site disorders to suppress the high-order resonant tunneling (which cause wave-packet dispersion) and realize dispersionless Thouless pumping. The interplay between the on-site disorders and the band topology enables robust unidirectional transport. We also demonstrate how to prepare a spatially entangled two-particle NOON state via Hong-Ou-Mandel interference assisted by the Thouless pumping. The quantum entanglement can be well preserved during the distribution between spatially separated sites. Our system paves a way to wide applications of topology in quantum information process.