存在离群量子态时高斯态的鲁棒相位估计
Robust phase estimation of Gaussian states in the presence of outlier quantum states
摘要：
本文研究了在不可避免地存在噪声量子态的情况下相干态相位的估计问题。在本研究中，这些不必要的量子态被表示为离群的量子态。我们首先提出一个量子系统中稳健统计的统计框架来处理离群量子态。然后，我们应用M-估计的方法来抑制由于离群量子态的不可信的测量结果。我们的建议具有系统性，易于实现，并对噪声状态的发生鲁棒性优于经典的方法。
英文摘要：
In this paper, we investigate the problem of estimating the phase of a coherent state in the presence of unavoidable noisy quantum states. These unwarranted quantum states are represented by outlier quantum states in this study. We first present a statistical framework of robust statistics in a quantum system to handle outlier quantum states. We then apply the method of M-estimators to suppress untrusted measurement outcomes due to outlier quantum states. Our proposal has the advantage over the classical methods in being systematic, easy to implement, and robust against occurrence of noisy states.
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