Minimal Time Generation of Density Matrices for a Two-Level Quantum System Driven by Coherent and Incoherent Controls
Minimal Time Generation of Density Matrices for a Two-Level Quantum System Driven by Coherent and Incoherent Controls
复制标题
相干和非相干控制驱动的两级量子系统密度矩阵的最短时间生成
DOI：
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发表时间：
2019
影响因子：
1.4
通讯作者：
A. Pechen
中科院分区：
文献类型：
--
作者：
O. Morzhin;A. Pechen
本文考虑了一个两能级开放量子系统，其动力学由相干和非相干控制的组合驱动。相干控制进入动力学的哈密顿部分，而非相干控制进入耗散部分。我们的目标是找到控制移动系统从一个初始的密度矩阵到一个给定的目标密度矩阵尽可能快。为了实现这一目标，我们重新制定的最优控制问题的控制进化的Bloch球，然后应用庞特里亚金最大值原理和梯度投影方法，数值上找到最小的时间和最佳的相干和非相干控制。一般的方法提供和几个例子的初始和目标状态被明确考虑。
The article considers a two-level open quantum system whose dynamics is driven by a combination of coherent and incoherent controls. Coherent control enters into the Hamiltonian part of the dynamics whereas incoherent control enters into the dissipative part. The goal is to find controls which move the system from an initial density matrix to a given target density matrix as fast as possible. To achieve this goal, we reformulate the optimal control problem in terms of controlled evolution in the Bloch ball and then apply Pontryagin maximum principle and gradient projection method to numerically find minimal time and optimal coherent and incoherent controls. General method is provided and several examples of initial and target states are explicitly considered.
影响因子：
8.6
作者：
Caneva, T.;Murphy, M.;Santoro, G. E.
通讯作者：
Santoro, G. E.