量子Lindblad系统轨道动力学的旗控
Flag-based Control of Orbit Dynamics in Quantum Lindblad Systems
摘要：
在本文中，我们证明了一个$n$维Lindblad控制系统的动力学可以分为它的轨道间和轨道内的动力学时，有快速可控性。这可以被看作是密度算子谱的单纯形上的控制系统，其中代表本征空间的标志被看作是控制变量。当控制标志集被限制在一个有限子集时，可以分析该控制系统的局部能控性。特别地，存在对低纯度轨道有效的$n!$标志的自然有限子集。
英文摘要：
In this paper, we demonstrate that the dynamics of an $n$-dimensional Lindblad control system can be separated into its inter- and intra-orbit dynamics when there is fast controllability. This can be viewed as a control system on the simplex of density operator spectra, where the flag representing the eigenspaces is viewed as a control variable. The local controllability properties of this control system can be analyzed when the control-set of flags is limited to a finite subset. In particular, there is a natural finite subset of $n!$ flags that are effective for low-purity orbits.
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。
