双行走者量子行走中的鲁棒真实多体纠缠
Robust Genuine Multipartite Entanglement in Two Walker Quantum Walks
- Indian Institute of Technology Kharagpur（印度理工学院卡拉格普尔分校）
- University College London（伦敦大学学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究在一维晶格双行走者离散时间量子行走中，利用对数负性与GGM，发现开边界下可鲁棒产生最大真实多体纠缠，为量子信息处理提供了有潜力平台。
AI中文摘要：
离散时间量子行走是研究复合量子系统中量子关联的产生、再分配与传输的通用框架。本文研究一维晶格上双行走者离散时间量子行走中的二体及真实多体纠缠动力学，利用对数负性与广义几何测度（GGM），系统表征二体纠缠在不同子系统划分间的再分配，以及涉及两个硬币自由度和两个位置自由度的真实多体纠缠的产生。研究表明，纠缠动力学受晶格拓扑结构的强烈影响：开边界区域表现出量子关联的单调再分配，而闭边界区域因边界诱导的干涉及波包的周期性重叠，产生显著的振荡行为。在开边界区域，GGM迅速趋近其理论最大值1/2，且在宽参数范围内对初始贝尔态的选择及局域硬币算符的连续变化基本不敏感，仅在泡利X（Pauli-X）硬币附近除外。这些结果表明，最大真实多体纠缠的产生是开边界双行走者离散时间量子行走的鲁棒且普遍的特征，使其成为量子信息处理与量子模拟中构建多体量子关联的有潜力平台。
英文摘要：
Discrete-time quantum walks provide a versatile framework for investigating the generation, redistribution, and transport of quantum correlations in composite quantum systems. Here, we study the dynamics of bipartite and genuine multipartite entanglement in a two-walker discrete-time quantum walk on a one-dimensional lattice. By employing logarithmic negativity and the generalized geometric measure (GGM), we systematically characterize the redistribution of bipartite entanglement among different subsystem partitions and the emergence of genuine multipartite entanglement involving the two coin and two position degrees of freedom. We show that the entanglement dynamics are strongly influenced by the lattice topology. The open-boundary regime exhibits a monotonic redistribution of quantum correlations, whereas the closed-boundary regime gives rise to pronounced oscillatory behavior due to boundary-induced interference and recurrent wave-packet overlap. In the open-boundary regime, the GGM rapidly approaches its theoretical maximum value of $1/2$ and remains largely insensitive to the choice of the initial Bell state as well as to continuous variations of the local coin operator over a broad parameter range, except near the Pauli-$X$ coin. These results demonstrate that maximal genuine multipartite entanglement generation is a robust and generic feature of open-boundary two-walker discrete-time quantum walks, establishing them as promising platforms for engineering multipartite quantum correlations in quantum information processing and quantum simulation.
