Exploring Topological Order on Quantum Processors

Frank Pollmann

Technical University of Munich

Universal quantum computers are potentially an ideal setting for simulating emergent quantum many-body phenomena that are out of reach for classical computers. Here I discuss our recent work in which we prepare the ground state of the toric code Hamiltonian using an efficient quantum circuit on a superconducting quantum processor. We measure a topological entanglement entropy near the expected value of ln(2), and simulate anyon interferometry to extract the braiding statistics of the emergent excitations.