We propose a method to engineer the light matter interaction while initializing a qubit present of physical constraints utilizing the inverse engineering. Combining the multiple degrees of freedom in the pulse parameters with the perturbation theory, we develop pulses to initialize the qubit within a tightly packed frequency interval to an arbitrary superposition state with high fidelity. Importantly, the initialization induces low off-resonant excitations to the neighboring qubits, and it is robust against the spatial inhomogeneity in the laser intensity. We apply the method to the ensemble rare-earth ions system, and simulations show that the initialization is more robust against the variations in laser intensity than the previous pulses, and reduces the time that ions spend in the intermediate excited state by a factor of 17. The method is applicable to any systems addressed in frequency such as nitrogen-vacancy centers, superconducting qubits, quantum dots, and molecular qubit systems.

我们提出了一种方法来设计轻物质相互作用，同时利用逆向工程初始化存在物理约束的量子位。将脉冲参数中的多个自由度与微扰理论相结合，我们开发了脉冲以将紧密压缩的频率间隔内的量子位初始化为具有高保真度的任意叠加状态。重要的是，初始化会引起相邻量子位的低偏共振激发，并且它对激光强度的空间不均匀性具有鲁棒性。我们将该方法应用于整体稀土离子系统，模拟表明初始化对激光强度变化的鲁棒性比之前的脉冲更强大，并将离子在中间激发态的时间减少了 17 倍.