测量振幅上的路径积分：信号处理和控制的实用量子基础
Path Integrals over Measurement Amplitudes: Practical Quantum Foundations for Signal Processing and Control
摘要：
结果表明，经典控制图可以一对一映射到量子路径积分的测量幅度。为了显示这种方法的实用性，精确的封闭形式的表达式推导出的控制动力学和量子噪声水平的测试质量所观察到的法布里-珀罗干涉仪。这种形式主义提供了一个有效而严格的方法来分析复杂系统，如干涉重力波探测器和磁共振力显微镜（MRFM）的实验。本文讨论了用干涉仪观测试验质量轨迹的灵敏度的量子极限。
英文摘要：
It is shown that classical control diagrams can be mapped one-to-one onto quantum path integrals over measurement amplitudes. To show the practical utility of this method, exact closed-form expressions are derived for the control dynamics and quantum noise levels of a test mass observed by a Fabry-Perot interferometer. This formalism provides an efficient yet rigorous method for analyzing complex systems such as interferometric gravity wave detectors and magnetic resonance force microscopy (MRFM) experiments. Quantum limits are conjectured for the sensitivity of interferometric observation of test mass trajectories.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
