论文标题
使用非高斯两种模式挤压热输入状态的基于平价检测的阶段估计增强的相位估计
Enhanced phase estimation in parity detection based Mach-Zehnder interferometer using non-Gaussian two-mode squeezed thermal input state
论文作者
论文摘要
尽管对两种模式挤压真空（TMSV）状态进行非高斯操作的量子测量优势已得到广泛探索，但在两种模式挤压热（TMST）状态的背景下，类似的研究严重缺乏。在本文中，我们探讨了使用基于奇偶校验检测的Mach-Zehnder干涉法进行非高斯对TMST状态进行非高斯操作的潜在优势。为此，我们考虑了光子减法，加法和催化的现实模型。我们首先提供了减去光子，添加的光子和光子催化的TMST状态的统一Wigner函数的推导，据我们所知，这在现有文献中尚无可用。然后使用此Wigner函数来获得相位灵敏度的表达式。我们的结果表明，在TMST状态下进行非高斯操作可以增强对挤压和透射率参数的显着范围的相位灵敏度。我们还观察到，通过在TMST状态上执行这些非高斯操作提供的增量优势大大高于在TMSV状态上执行这些操作的优势。由于这些操作的概率性质，考虑其成功概率至关重要。当考虑到成功概率时，我们确定使用高透射率束分离器进行的光子催化操作是最佳的非高斯手术。这与TMSV情况相反，在该情况下，我们观察到添加光子是最佳的。对于涉及TMST状态的任何未来阶段估计实验，这些结果将具有很高的相关性。此外，非高斯TMST状态的派生wigner函数将有助于状态表征及其在各种量子信息协议中的应用。
While the quantum metrological advantages of performing non-Gaussian operations on two-mode squeezed vacuum (TMSV) states have been extensively explored, similar studies in the context of two-mode squeezed thermal (TMST) states are severely lacking. In this paper, we explore the potential advantages of performing non-Gaussian operations on TMST state for phase estimation using parity detection based Mach-Zehnder interferometry. To this end, we consider the realistic model of photon subtraction, addition, and catalysis. We first provide a derivation of the unified Wigner function of the photon subtracted, photon added and photon catalyzed TMST state, which to the best of our knowledge is not available in the existing literature. This Wigner function is then used to obtain the expression for the phase sensitivity. Our results show that performing non-Gaussian operations on TMST states can enhance the phase sensitivity for significant ranges of squeezing and transmissivity parameters. We also observe that incremental advantage provided by performing these non-Gaussian operations on the TMST state is considerably higher than that of performing these operations on the TMSV state. Because of the probabilistic nature of these operations, it is of utmost importance to take their success probability into account. We identify the photon catalysis operation performed using a high transmissivity beam splitter as the optimal non-Gaussian operation when the success probability is taken into account. This is in contrast to the TMSV case, where we observe photon addition to be the most optimal. These results will be of high relevance for any future phase estimation experiments involving TMST states. Further, the derived Wigner function of the non-Gaussian TMST states will be useful for state characterization and its application in various quantum information protocols.
