Quantum information technologies demand highly accurate control over quantum systems. Achieving this requires control techniques that perform well despite the presence of decohering noise and other adverse effects. Here, we review a general technique for designing control fields that dynamically correct errors while performing operations using a close relationship between quantum evolution and geometric space curves. This approach provides access to the global solution space of control fields that accomplish a given task, facilitating the design of experimentally feasible gate operations for a wide variety of applications.

中文翻译：

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从几何空间曲线动态校正门

量子信息技术需要对量子系统进行高度精确的控制。实现这一点需要控制技术，尽管存在退相干噪声和其他不利影响，但仍能表现良好。在这里，我们回顾了一种设计控制场的通用技术，该技术在使用量子演化和几何空间曲线之间的密切关系执行操作时动态纠正错误。这种方法提供了对完成给定任务的控制领域的全局解决方案空间的访问，有助于为各种应用设计实验上可行的门操作。