AI 中文总结
研究如何利用线性极化场设计单比特量子门，核心方法是通过调制正弦场并借助旋转波近似，经反转演化算符运动方程等步骤获取控制场公式，贡献是给出简单程序得封闭解析公式及相关可调参数。
AI 中文摘要
在这项工作中，我们探讨了通过线性极化场设计单比特量子门的问题。我们表明，任何对应特殊酉矩阵的所需单比特门都可由调制正弦场生成。唯一的近似是旋转波近似。通过反转演化算符的运动方程并施加所需门的条件来获得控制场的公式。我们给出了一个简单程序，以根据事先选定的动力学函数获得场的封闭解析公式。此外，这些动力学函数可依赖于为满足所需性能标准而特意引入的可调自由参数。
英文摘要
In this work, we address the problem of designing single-qubit quantum gates by means of a linearly-polarized field. We show that any desired one-qubit gate corresponding to a special unitary matrix can be generated by a modulated sinusoidal field. The only approximation involved is the rotating-wave-approximation. The formula for the control field is obtained by inverting the equation of motion for the evolution operator and imposing the conditions for the desired gate. We give a simple procedure to obtain closed analytical formulas for the fields in terms of a priori chosen dynamical functions. Additionally, these dynamical functions can depend on tunable free parameters intentionally introduced to meet a desired performance criteria.
