Floquet theory for bichromatic driving in single and two-qubit quantum gates

We study the dynamics of a single and coupled superconducting qubit system driven by bichromatic pulses. Using the Floquet theory framework, we investigate weak and strong driving regimes. It has been observed that bichromatic driving can be applied to suppress unwanted nonadiabatic transitions in single and two-qubit gates using shortcuts to adiabaticity technique. Moreover, the unwanted ZZ crosstalk can be mitigated in two-qubit gates by driving the two qubits with a phase. Motivated by the aforementioned observations, we utilize Floquet theory and shortcuts to adiabaticity techniques to obtain fast and high-fidelity one and two-qubit quantum gates based on superconducting qubits. We also numerically and analytically study the multiphoton resonance processes and quantum interference phenomena for the bichromatically driven single and two-qubit system.