Robust adiabatic composite pulses for quantum population inversion

The population inversion plays a vital role in a common two-level system during the quantum information process. While the process is not so reliable due to some objective factors (e.g., pulse design, noise, unwanted frequency chirp, etc.), to solve these problems, we numerically studied the population inversion in a single superconducting qubit. We corrected the errors during the process by using adiabatic composite pulses. With the help of the adiabatic composite pulses, the fidelity of the population inversion is high enough for a single-qubit "NOT" gate.