Frequency patches for high-fidelity quantum control

Analytical solutions for quantum control are physically intuitive and preferable in experiments but difficult to find. We propose a perturbative approach for high-fidelity quantum control, which is based on the Floquet-Magnus expansion of an oscillatory Hamiltonian. The control performance increases with the number of constant driving fields, which is nicknamed as making frequency patches. Numerical examples with one and two superconducting qubits showcase the effectiveness of this method.