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We theoretically propose a quantum simulation scheme for the toric-codeHamiltonian, the paradigmatic model of a quantum spin liquid, based ontime-periodic driving. We develop a hybrid continuous-digital strategy thatexploits the commutativity of different terms in the target Hamiltonian. Itallows one to realize the required four-body interactions in a nonperturbativeway, attaining strong coupling and the suppression of undesired processes. Inaddition, we design an optimal protocol for preparing the topologically orderedground states with high fidelity. A proof-of-principle implementation of atopological device and its use to simulate the topological phase transition arealso discussed. The proposed scheme finds natural implementation inarchitectures of superconducting qubits with tuneable couplings.

Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state