论文标题
通过基于纠缠措施的Lyapunov控制产生最大纠缠状态
Generation of Maximally Entangled States by Lyapunov Control Based on Entanglement Measure
论文作者
论文摘要
最大纠缠状态（MES）在量子信息处理中高度重视。在量子控制中，通常将ME的创建视为一种状态转移问题，将预定义的ME作为目标。但是，这种方法受到预先确定MES结构的要求的限制。本文介绍了一种改进的量子Lyapunov控制方法，该方法依赖于量子纠缠措施来构建Lyapunov函数，而不是使用量子状态之间的距离。该策略可以使用单个控制方案进行任何ME的准备，无论其结构是否事先已知。所提出的纠缠控制技术不受纠缠子系统的数量影响，因为它以标量为目标。该方法最初应用于双方纯状态，证明了其产生铃铛状态及其等效物的能力。随后在两分的混合状态和多部分系统上应用的应用表明，该技术可以产生具有未指定结构的ME。
Maximally entangled states (MES) are highly valued in quantum information processing. In quantum control, the creation of MES is typically treated as a state transfer problem with a predefined MES as the target. However, this approach is limited by the requirement to predetermine the MES structure. This paper introduces an improved quantum Lyapunov control approach that relies on the quantum entanglement measure to construct the Lyapunov function, instead of using the distance between quantum states. This strategy enables the preparation of any MES, regardless of whether its structure is known beforehand, using a single control scheme. The proposed entanglement control technique is unaffected by the number of entangled subsystems since it targets the entanglement measure as a scalar. Initially applied to bipartite pure states, this method demonstrates its capability to generate Bell states and their equivalents. Subsequent applications to bipartite mixed states and multipartite systems illustrate that the technique can produce MES with unspecified structures.
