Adiabatic resonance for fast and robust quantum control

Adiabatic passage is a useful technique to realize quantum control and quantum gates. It is in general robust, albeit slow. Here we propose a universal scheme to achieve fast adiabatic passage with high-fidelity based on the so-called "adiabatic resonance": By designing a cyclic evolution in the adiabatic frame, the evolution path periodically returns to the adiabatic path, leading to high operation fidelity near resonance points. We first reveal the general condition of adiabatic resonance, then derive the specific condition for a two-level system, and apply it to a double quantum dot. With such a designed detuning pulse we can realize adiabatic Landau-Zener transition rapidly. Compared to other schemes aiming at accelerating the adiabatic passage, such as transitionless quantum driving, this adiabatic resonance scheme has the advantage that it does not require any additional control Hamiltonian. Lastly, we discuss the possibility of optimization and built-in robustness against noise.