论文标题
分析量子控制时间的下限及其与量子速度极限的关系
Analysis of lower bounds for quantum control times and their relation to the quantum speed limit
论文作者
论文摘要
量子系统进化速度的局限性，通常称为量子速度限制（QSL），对量子控制问题产生了重要的后果。但是，以标准配方为准，对于具有未知控制参数的时间依赖的汉密尔顿人，获得有意义的QSL边界并不是一件直接的。在本文中，我们提供了统一动力学及其与量子控制的连接的量子速度限制的简短介绍概述。然后，我们分析了在受QSL启发的控制时间上获得新界限的潜在方法。我们最终通过在驱动的两级量子系统的背景下研究这些新界限的属性和局限性，扩展了[Poggi，Lombardo和Wisniacki EPL 104 40005（2013）]
Limitations to the speed of evolution of quantum systems, typically referred to as quantum speed limits (QSLs), have important consequences for quantum control problems. However, in its standard formulation, is not straightforward to obtain meaningful QSL bounds for time-dependent Hamiltonians with unknown control parameters. In this paper we present a short introductory overview of quantum speed limit for unitary dynamics and its connection to quantum control. We then analyze potential methods for obtaining new bounds on control times inspired by the QSL. We finally extend the work in [Poggi, Lombardo and Wisniacki EPL 104 40005 (2013)] by studying the properties and limitations of these new bounds in the context of a driven two-level quantum system
