Tradeoff in simultaneous quantum-limited phase and loss estimation in interferometry
Tradeoff in simultaneous quantum-limited phase and loss estimation in interferometry
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DOI：
10.1103/physreva.89.023845
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发表时间：
2014-02-27
影响因子：
2.9
通讯作者：
Walmsley, I. A.
中科院分区：
文献类型：
--
作者：
Crowley, Philip J. D.;Datta, Animesh;Walmsley, I. A.
众所周知，量子光干涉测量为估计单个相位提供了更高的精度。然而，根据所涉及的参数，多个参数的同时估计的量子极限可能无法达到，从而导致可达到的精度的权衡。在这里，我们研究了使用固定数目的光子同时估计与光学干涉测量有关的两个参数：相位和损耗。我们对这两个参数的估计进行了折衷，结果表明，与单参数估计相比，不可能设计一种在单个设置下同时饱和损耗和相位估计的量子Cramer-Rao界的策略。我们设计了具有固定光子数的最佳量子态，以实现最佳的同时精度。我们的结果揭示了同时估计哈密顿参数和耗散参数的一般特征，并对量子成像等复杂的传感场景具有重要意义。
Interferometry with quantum light is known to provide enhanced precision for estimating a single phase. However, depending on the parameters involved, the quantum limit for the simultaneous estimation of multiple parameters may not be attainable, leading to tradeoffs in the attainable precisions. Here we study the simultaneous estimation of two parameters related to optical interferometry: phase and loss, using a fixed number of photons. We derive a tradeoff in the estimation of these two parameters which shows that, in contrast to single-parameter estimation, it is impossible to design a strategy saturating the quantum Cramer-Rao bound for loss and phase estimation in a single setup simultaneously. We design optimal quantum states with a fixed number of photons achieving the best possible simultaneous precisions. Our results reveal general features about concurrently estimating Hamiltonian and dissipative parameters and have implications for sophisticated sensing scenarios such as quantum imaging.