Chiral Flow on Digital Quantum Processors

Nonequilibrium topological phases of matter can exhibit edge (surface) phenomena which cannot be replicated in their static counterparts. We demonstrate chiral flow, a feature describing topological behavior in driven systems, using state-of-the-art digital quantum processors. With quantum circuit compression techniques, we design and implement a Floquet Hamiltonian which generates unitary evolution exhibiting nontrivial bulk-boundary correspondence. Given the intrinsic noise of the quantum hardware, we are effectively studying anomalous Floquet modes in an open quantum system. Our protocol shows that the driving frequency offers a potential method for mitigating the effects of noise in long-time simulations.