A series of quantum locking theories have been proposed to enhance the quantum-noise-limited target sensitivity of the DECi-hertz Interferometer Gravitational wave Observatory. The quantum locking that uses a square completion optimizes the sensitivity across all frequencies. However, a substantial amount of data-series must be post-processed since the square completion is a form of signal processing technique. This paper approaches the optimal sensitivity across all frequencies from an alternative perspective: by optimizing the frequency dependence of a servo gain in a feedback loop. The optimal servo gain is formulated by comparing the alternative method with the square completion method for the same optical setup. This will be shown in general noise issues extending the framework of the quantum locking. We find that the optimal servo gain forms a non-feasible filter but has certain characteristics. We also find that the noise of the measurement signal deteriorates proportionally to the noise measured in the feedback loop when the servo gain is slightly imperfect.

中文翻译：

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受 DECIGO 量子锁定启发的通用测量系统环路增益调谐的可行性


为了提高 DECi 赫兹干涉引力波天文台的量子噪声极限目标灵敏度，人们提出了一系列量子锁定理论。使用方波补全的量子锁定可优化所有频率的灵敏度。但是，必须对大量数据序列进行后处理，因为平方完成是信号处理技术的一种形式。本文从另一个角度接近所有频率的最佳灵敏度：通过优化反馈回路中伺服增益的频率依赖性。最佳伺服增益是通过比较相同光学设置的替代方法与方波完成方法来制定的。这将在扩展量子锁定框架的一般噪声问题中显示。我们发现最佳伺服增益形成了一个不可行的滤波器，但具有某些特性。我们还发现，当伺服增益略微不完美时，测量信号的噪声与反馈回路中测得的噪声成比例地恶化。