Manipulation of a quantum system requires the knowledge of how it evolves. To impose that the dynamics of a system becomes a particular target operation (for any preparation of the system), it may be more useful to have an equation of motion for the dynamics itself, rather than the state. Here we develop a Markovian master equation for the process matrix of an open system interacting with a reservoir, which resembles the Lindblad Markovian master equation. We employ this equation to introduce a scheme for optimal local coherent process control at target times and extend the Krotov technique to obtain optimal control. We illustrate utility of this framework through several quantum coherent-control scenarios, such as optimal decoherence suppression, gate simulation, and passive and indirect control of the reservoir, in all of which we aim to simulate a given terminal process at a given final time.

中文翻译：

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量子过程的相干动态控制

操纵量子系统需要了解它是如何演化的。为了强加系统的动力学成为特定的目标操作（对于系统的任何准备），为动力学本身而不是状态提供运动方程可能更有用。在这里，我们为与储层相互作用的开放系统的过程矩阵开发了马尔可夫主方程，类似于 Lindblad 马尔可夫主方程。我们使用这个方程来引入在目标时间进行最优局部相干过程控制的方案，并扩展 Krotov 技术以获得最优控制。我们通过几种量子相干控制场景来说明该框架的实用性，例如最佳退相干抑制、门模拟以及储层的被动和间接控制，