论文标题
量子轨迹的参数估计：收敛结果
Parameter Estimation for Quantum Trajectories: Convergence Result
论文作者
论文摘要
量子轨迹描述了经过间接测量的量子系统的演变。在离散时间设置中，根据测量结果应用KRAUS操作员，可以更新系统状态。从实验的角度来看，这些KRAUS操作员可以取决于未知的物理参数p。在[1]中提出了一种有趣而有力的方法，以估计有限集中的参数。但是，缺乏融合的完整结果。本文通过严格地显示该方法的一致性来填补这一空白，而到目前为止，只有数值证据。当该参数属于连续集合时，我们提出了一种算法来达到其值并显示仿真结果。
A quantum trajectory describes the evolution of a quantum system undergoing indirect measurement. In the discrete-time setting, the state of the system is updated by applying Kraus operators according to the measurement results. From an experimental perspective, these Kraus operators can depend on unknown physical parameters p. An interesting and powerful method has been proposed in [1] to estimate a parameter in a finite set; however, complete results of convergence were lacking. This article fills this gap by rigorously showing the consistency of the method, whereas there was only numerical evidence so far. When the parameter belongs to a continuous set, we propose an algorithm to approach its value and show simulation results.
