论文标题

时间本地的最佳控制,用于高斯制度的参数估计

Time-local optimal control for parameter estimation in the Gaussian regime

论文作者

Predko, Alexander, Albarelli, Francesco, Serafini, Alessio

论文摘要

关于在量子状态中编码的经典参数的信息只有在国家与环境的相互作用引起的非自动进化时只能降低。但是,瞬时控制单位可以用来减轻开放动态引起的信息的减少。此类控件的一种可能的局部最佳(及时)选择是最大化与以初始状态编码的参数相关的量子渔民信息(QFI)的时间衍生的。在这项研究中,我们专注于受马尔可夫,热主方程的单个骨气模式,并通过分析QFI的初始挤压角(光相)和强度来分析确定QFI的最佳时间定位控制。我们表明,对于此类情况,单个初始控制操作已经是最佳的,并且在定量研究开放动态演化后应用最佳控制的情况。

Information about a classical parameter encoded in a quantum state can only decrease if the state undergoes a non-unitary evolution, arising from the interaction with an environment. However, instantaneous control unitaries may be used to mitigate the decrease of information caused by an open dynamics. A possible, locally optimal (in time) choice for such controls is the one that maximises the time-derivative of the quantum Fisher information (QFI) associated with a parameter encoded in an initial state. In this study, we focus on a single bosonic mode subject to a Markovian, thermal master equation, and determine analytically the optimal time-local control of the QFI for its initial squeezing angle (optical phase) and strength. We show that a single initial control operation is already optimal for such cases and quantitatively investigate situations where the optimal control is applied after the open dynamical evolution has begun.

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