论文标题
量子最佳控制问题，具有状态约束的连贯性
A Quantum Optimal Control Problem with State Constrained Preserving Coherence
论文作者
论文摘要
在这项工作中，我们解决了以一种方式控制量子状态转换过程中最大化保真度的问题，该过程以将谐波保持在给定界限内。我们考虑一个以非空致反矫正通道为特征的马尔可夫反融化的三级$λ$ -IT型原子。我们将保真度作为量子状态转换过程的性能指数，因为目标是最大程度地提高最终状态密度运算符与所需目标状态之一的相似性。我们通过状态约束来制定量子最佳控制问题，其中以下事实是，脱位水平保持在预定义的结合范围之内。给出了以Gamkrelidze形式的最大原理形式形式的最佳条件。这些提供了一组完整的关系，以实现最佳控制策略的计算。这是量子系统背景下的一种新方法。
In this work, we address the problem of maximizing fidelity in a quantum state transformation process controlled in such a way as to keep decoherence within given bounds. We consider a three-level $Λ$-type atom subjected to Markovian decoherence characterized by non-unital decoherence channels. We introduce fidelity as the performance index for the quantum state transformation process since the goal is to maximize the similarity of the final state density operator with the one of the desired target state. We formulate the quantum optimal control problem with state constraints where the later reflect the fact that the decoherence level remains within a pre-defined bound. Optimality conditions in the form of a Maximum Principle of Pontryagin in Gamkrelidze's form are given. These provide a complete set of relations enabling the computation of the optimal control strategy. This is a novel approach in the context of quantum systems.
