论文标题
现实的非高斯操作方案基于平价检测的MACH-ZEHNDER量子干涉法
Realistic non-Gaussian operations scheme in parity detection based Mach-Zehnder quantum interferometry
论文作者
论文摘要
理论上，我们使用基于奇偶校验检测的Mach Zehnder干涉仪（MZI）与输入状态分析相位灵敏度，该输入状态通过执行非高斯操作，即在两种模式挤压真空（TMSV）状态上进行非高斯操作，即光子减法，光子添加，光子添加和光子催化。由于这些非高斯行动是概率的，因此要考虑成功概率至关重要。为此，我们考虑了光子减法，加法和催化的现实模型，并得出了减去光子函数的单个表达，以减去，添加和催化的TMSV状态。 Wigner函数用于通过MZI中的量子cramer-rao结合和基于奇偶校验检测的相位灵敏度评估相灵的下限。我们确定了与TMSV状态相比，非高斯状态提供更好的相敏性的挤压和透射率参数的范围。在定性地考虑成功概率时，事实证明，添加光子是最有利的非高斯操作。我们希望这项工作中得出的广义Wigner函数将在各种量子信息协议和状态表征中有用。
We theoretically analyze phase sensitivity using parity detection based Mach Zehnder interferometer (MZI) with the input states generated by performing non-Gaussian operations, viz., photon subtraction, photon addition, and photon catalysis on a two-mode squeezed vacuum (TMSV) state. Since these non-Gaussian operations are probabilistic, it is of utmost importance to take the success probability into account. To this end, we consider the realistic model of photon subtraction, addition, and catalysis and derive a single expression of the Wigner function for photon subtracted, added, and catalyzed TMSV state. The Wigner function is used to evaluate the lower bound on the phase sensitivity via quantum Cramer-Rao bound and parity detection based phase sensitivity in MZI. We identify the ranges of squeezing and transmissivity parameters where the non-Gaussian states provide better phase sensitivity than the TMSV state. On qualitatively taking the success probability into account, it turns out that the photon addition is the most advantageous non-Gaussian operation. We hope that the generalized Wigner function derived in this work will be useful in various quantum information protocols and state characterization.
