Analogue Floquet quantum simulation on NISQ devices*

Previous theoretical and experimental research has shown that current NISQ devices constitute powerful platforms for analogue (continuous-time) quantum simulation. Indeed, it is known that a lattice of superconducting qubits naturally implements a Bose-Hubbard model. With the exquisite level of control offered by state-of-the-art quantum computers, we show that one can go further and implement a wide class of Floquet Hamiltonians, or time-dependent Hamiltonians in general. We then implement a single-qubit version of these models in the IBM Quantum Experience and experimentally realize a temporal version of the Bernevig-Hughes-Chang Chern insulator. From our data we can infer the presence of a topological transition, thus realizing an earlier proposal of topological frequency conversion by Martin, Refael, and Halperin.