Quantum Delocalization on Correlation Landscape: The Key to Exponentially Fast Multipartite Entanglement Generation,Physical Review Letters

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Quantum Delocalization on Correlation Landscape: The Key to Exponentially Fast Multipartite Entanglement Generation
Physical Review Letters ( IF 8.1 ) Pub Date : 2024-09-10 , DOI: 10.1103/physrevlett.133.110201
Yaoming Chu ₁ , Xiangbei Li ₁ , Jianming Cai ₁

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Entanglement, a hallmark of quantum mechanics, is a vital resource for quantum technologies. Generating highly entangled multipartite states is a key goal in current quantum experiments. We unveil a novel framework for understanding entanglement generation dynamics in Hamiltonian systems by quantum delocalization of an effective operator wave function on a correlation landscape. Our framework establishes a profound connection between the exponentially fast generation of multipartite entanglement, witnessed by the quantum Fisher information, and the linearly increasing asymptotics of hopping amplitudes governing the delocalization dynamics in Krylov space. We illustrate this connection using the paradigmatic Lipkin-Meshkov-Glick model and highlight potential signatures in chaotic Feingold-Peres tops. Our results provide a transformative tool for understanding and harnessing rapid entanglement production in complex quantum systems, providing a pathway for quantum enhanced technologies by large-scale entanglement.

中文翻译：

相关景观上的量子离域：指数快速多方纠缠生成的关键

纠缠是量子力学的一个标志，是量子技术的重要资源。生成高度纠缠的多部分态是当前量子实验的一个关键目标。我们推出了一种新颖的框架，通过相关景观上有效算子波函数的量子离域来理解哈密顿系统中的纠缠生成动力学。我们的框架在量子费希尔信息见证的指数级快速生成的多部分纠缠与控制克雷洛夫空间中离域动力学的跳跃幅度的线性增加渐近之间建立了深刻的联系。我们使用典型的 Lipkin-Meshkov-Glick 模型来说明这种联系，并强调混沌 Feingold-Peres 顶部的潜在特征。我们的研究结果为理解和利用复杂量子系统中的快速纠缠产生提供了一种变革性工具，为大规模纠缠的量子增强技术提供了一条途径。

更新日期：2024-09-10

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