稳健量子态估计中的频率跟踪和参数估计
Frequency Tracking and Parameter Estimation for Robust Quantum State-Estimation
摘要：
本文研究了通过连续测量跟踪量子系统的态的问题。如果系统哈密顿量是精确已知的，这仅仅需要积分适当的随机主方程。然而，即使是假设的哈密顿量中的一个小错误也会使这种方法变得无用。这个问题的自然答案是将哈密顿量的参数作为估计问题的一部分，并且这个任务的完整贝叶斯解决方案提供了对不确定性鲁棒的状态估计。然而，这种方法需要相当大的计算开销。在这里，我们考虑单个量子位，其中哈密顿量包含单个未知参数。我们表明，经典的频率估计技术大大减少了计算开销与贝叶斯估计，并提供准确的估计量子比特的频率
英文摘要：
In this paper we consider the problem of tracking the state of a quantum system via a continuous measurement. If the system Hamiltonian is known precisely, this merely requires integrating the appropriate stochastic master equation. However, even a small error in the assumed Hamiltonian can render this approach useless. The natural answer to this problem is to include the parameters of the Hamiltonian as part of the estimation problem, and the full Bayesian solution to this task provides a state-estimate that is robust against uncertainties. However, this approach requires considerable computational overhead. Here we consider a single qubit in which the Hamiltonian contains a single unknown parameter. We show that classical frequency estimation techniques greatly reduce the computational overhead associated with Bayesian estimation and provide accurate estimates for the qubit frequency
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