论文标题
一种用于识别非马克维亚量子系统阻尼率函数的反向系统方法
An inverse-system method for identification of damping rate functions in non-Markovian quantum systems
论文作者
论文摘要
复杂量子环境的识别在于量子工程的核心，该工程系统地构建了一个环境模型，目的是准确控制量子系统。在本文中，我们提出了一种反向系统方法，以识别描述无时间卷积的主方程中非马克维亚环境的阻尼率函数。为了访问环境的信息，我们将有限级量子系统与环境相结合，并测量系统可观察到的时间迹线。通过使用足够的测量结果，设计了算法，该算法可以同时估计不同耗散通道的多重阻尼率函数。此外，我们表明，对阻尼率功能的可识别性对应于系统的可逆性，并且还提供了可识别性的必要条件。我们方法的有效性显示在原子和三旋链非马克维亚系统的示例中。
Identification of complicated quantum environments lies in the core of quantum engineering, which systematically constructs an environment model with the aim of accurate control of quantum systems. In this paper, we present an inverse-system method to identify damping rate functions which describe non-Markovian environments in time-convolution-less master equations. To access information on the environment, we couple a finite-level quantum system to the environment and measure time traces of local observables of the system. By using sufficient measurement results, an algorithm is designed, which can simultaneously estimate multiple damping rate functions for different dissipative channels. Further, we show that identifiability for the damping rate functions corresponds to the invertibility of the system and a necessary condition for identifiability is also given. The effectiveness of our method is shown in examples of an atom and three-spin-chain non-Markovian systems.
