论文标题
同时估计广义马赫德干涉仪中多个阶段
Simultaneous estimation of multiple phases in generalised Mach-Zehnder interferometer
论文作者
论文摘要
在这项工作中，我们使用广义的三型马赫德尔干涉仪研究了同时估算相的问题。在我们的设置中，我们假设这些相位于干涉仪中的每个模式中，这在相位的估计器之间引入了相关性。这些相关性阻止了所有这些阶段的同时估计，但是我们表明，我们仍然可以在完全固定的实验设置中获得任何子集的联合估算精度的类似海森堡的缩放，即$ d-1 $阶段，$ d $是模式的数量，即具有相同的初始状态和测量值。我们的估计方案可以应用于三维干涉量配置中量子增强感测的任务。
In this work we investigate the problem of simultaneous estimation of phases using generalised three- and four-mode Mach-Zehnder interferometer. In our setup, we assume that the phases are placed in each of the modes in the interferometer, which introduces correlations between estimators of the phases. These correlations prevent simultaneous estimation of all these phases, however we show that we can still obtain the Heisenberg-like scaling of precision of joint estimation of any subset of $d-1$ phases, $d$ being the number of modes, within completely fixed experimental setup, namely with the same initial state and set of measurements. Our estimation scheme can be applied to the task of quantum-enhanced sensing in three-dimensional interferometric configurations.
