发表机构
University of Rochester; North Carolina State University(罗切斯特大学; 北卡罗来纳州立大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文回顾纠缠突然死亡(ESD)从两体到多体的发展,证明多体纠缠寿命不由局域动力学决定,而依赖于联合量子态演化,并揭示全局与局域去极化下ESD时间的差异。
AI 中文摘要
纠缠突然死亡(ESD),通过Yu和Eberly的一系列工作进行了探索,支持了纠缠在有限时间内突然且完全消失的概念,即使底层开放系统动力学保持平滑。在本文中,我们回顾了ESD从两体起源到真正多体纠缠的发展。我们首先用两个独立阻尼的量子比特来说明ESD的典型机制,其中并发度在有限时间内消失,而布居和相干性保持非零。接下来,我们展示在去极化下广义GHZ态的多体纠缠结果。全局和独立的局域去极化动力学可以被选择为每个单独的量子比特产生相同的约化演化,然而它们产生不同的真正多体纠缠突然死亡时间,其顺序可以随初始状态而反转。对于N量子比特GHZ态,这种区别在渐近意义上变得更加强烈,因为在独立局域去极化下ESD时间按1/N缩放,而在全局去极化下,在热力学极限中它趋近于一个有限值。呼应Eberly教授工作的一个核心教训,我们报告多体纠缠的寿命不是由局域动力学固定的,而是依赖于联合量子态的演化。
英文摘要
Entanglement sudden death (ESD), explored through a series of works by Yu and Eberly, supports the notion of entanglement vanishing abruptly and completely at a finite time, even when the underlying open-system dynamics remain smooth. In this article, we revisit the development of ESD from bipartite origins to genuine multipartite entanglement. We first illustrate the canonical mechanism of ESD with two independently damped qubits, for which the concurrence vanishes at a finite time while populations and coherences remain nonzero. We next present our results on multipartite entanglement for generalized GHZ states under depolarization. Global and independent local depolarizing dynamics can be chosen to produce identical reduced evolution for every individual qubit, yet they yield different genuine-multipartite-entanglement sudden death times, whose ordering can reverse with the initial state. For N-qubit GHZ states, this distinction becomes asymptotically stronger since the ESD time scales as 1/N under independent local depolarization, whereas under global depolarization it approaches a finite value in the thermodynamic limit. Echoing a central lesson of Prof. Eberly's work, we report the lifetime of multipartite entanglement is not fixed by the local dynamics, but rather depends on the evolution of the joint quantum state.
CommentsSubmitted to Focus Collection Celebrating the Life and Science of Joseph H. Eberly. 10 pages, 2 figures