论文标题
量子最佳控制解决方案的信息理论限制:嘈杂通道的错误缩放
Information Theoretical Limits for Quantum Optimal Control Solutions: Error Scaling of Noisy Channels
论文作者
论文摘要
对开放量子系统的准确操作需要深入了解其可控性能和实现控制场的信息内容。通过使用信息工具和量子最佳控制理论,我们提供分析界限(信息时间界限),以表征我们在受任意噪声源时控制系统的能力。此外,由于存在外部噪声场的存在会诱导开放量子系统动力学,因此我们还表明,信息时间界限提供的结果与Kofman-Kurizki通用公式非常吻合,描述了偏移过程。最后,我们通过穿着的切碎的随机基础(DCRAB)算法来测试控制精度随噪声参数的函数的缩放,以进行量子最佳控制。
Accurate manipulations of an open quantum system require a deep knowledge of its controllability properties and the information content of the implemented control fields. By using tools of information and quantum optimal control theory, we provide analytical bounds (information-time bounds) to characterize our capability to control the system when subject to arbitrary sources of noise. Moreover, since the presence of an external noise field induces open quantum system dynamics, we also show that the results provided by the information-time bounds are in very good agreement with the Kofman-Kurizki universal formula describing decoherence processes. Finally, we numerically test the scaling of the control accuracy as a function of the noise parameters, by means of the dressed chopped random basis (dCRAB) algorithm for quantum optimal control.