arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2006.16113quant-ph
收藏

量子最优控制解的信息论极限:噪声信道的误差标度

Information Theoretical Limits for Quantum Optimal Control Solutions: Error Scaling of Noisy Channels

Matthias M. Müller, Stefano Gherardini, Tommaso Calarco, Simone Montangero, Filippo Caruso

摘要:

精确操纵开放量子系统需要深入了解其可控性和实现的控制场的信息内容。通过使用信息和量子最优控制理论的工具,我们提供了分析界(信息时间界)来表征我们的能力,以控制系统时,受到任意的噪声源。此外,由于存在一个外部噪声场诱导开放量子系统动力学,我们还表明,所提供的信息-时间界的结果是在非常好的协议与Kofman-Kurizki通用公式描述退相干过程。最后,我们数值测试的控制精度的缩放作为噪声参数的函数,通过修整的斩波随机基(dCRAB)算法的量子最优控制。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑