In this study, we propose an improved theoretical model for the phase estimation scheme with inverse operations and compare it with the conventional phase estimation model in terms of the Fisher information and error propagation equation. In addition, we analyse the phase sensitivity of Mach-Zehnder Interferometer (MZI) and SU(1,1) interferometer (SU(1,1)I) with the coherent or squeezed states as input for intensity detection. We also discuss the phase sensitivity of MZI and SU(1,1)I with inverse displaced and inverse squeezed operations for intensity detection, and extensively compare them with and without the inverse operation scheme. Accordingly, we conclude that the phase sensitivity of interferometers can be significantly enhanced by embedding additional inverse operations.

在这项研究中，我们提出了一种具有逆运算的相位估计方案的改进理论模型，并在 Fisher 信息和误差传播方程方面将其与传统的相位估计模型进行了比较。此外，我们分析了 Mach-Zehnder 干涉仪 (MZI) 和 SU(1,1) 干涉仪 (SU(1,1)I) 的相位灵敏度，并将相干或压缩状态作为强度检测的输入。我们还讨论了用于强度检测的 MZI 和 SU(1,1)I 的相位灵敏度，以及用于强度检测的反向位移和反向压缩操作，并广泛地比较它们有和没有反向操作方案。因此，我们得出结论，通过嵌入额外的逆运算可以显着提高干涉仪的相位灵敏度。