量子Fisher信息作为多体纠缠的速度极限
Quantum Fisher Information as the Speed Limit for Multipartite Entanglement
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中文总结 AI 辅助
本研究推导了多体纠缠产生速度受量子Fisher信息平方根约束的通用上界，并在横场Ising模型临界点发现QFI增强而纠缠变化缓慢，表明临界敏感性不依赖纠缠快速变化。
中文摘要 AI 辅助
我们推导了多体纠缠产生速度的通用上界。对于经历参数依赖演化的任意可微纯多体态，我们证明了广义并发度的变化率受量子Fisher信息（QFI）的平方根约束。该证明直接源于对称对数导数形式体系，揭示了该界是量子估计理论的推论，而互补的Schmidt谱分析则确定了饱和条件，并为秩二二分体给出了更紧的界。我们在相互作用的多体自旋模型中说明了这些结果，并研究了它们跨越横场Ising模型量子相变的行为。在临界点，我们发现QFI可以显著增强，而广义并发度几乎保持静止，且其对耦合的敏感性受到抑制。这表明与量子临界性相关的增强参数敏感性不一定源于多体纠缠幅度的快速变化。
英文摘要
We derive a universal upper bound on the speed of multipartite entanglement generation. For arbitrary differentiable pure multipartite states undergoing parameter-dependent evolution, we prove that the rate of change of generalized concurrence is bounded by the square root of the quantum Fisher information (QFI). The proof follows directly from the symmetric logarithmic derivative formalism, revealing the bound as a consequence of quantum estimation theory, while a complementary Schmidt-spectrum analysis identifies the conditions for saturation and yields a tighter bound for rank-two bipartitions. We illustrate these results in interacting many-body spin models and investigate their behavior across the quantum phase transition of the transverse-field Ising model. At the critical point, we find that the QFI can be strongly enhanced while the generalized concurrence is nearly stationary and its sensitivity to the coupling is suppressed. This demonstrates that the enhanced parameter sensitivity associated with quantum criticality need not arise from rapid changes in the magnitude of multipartite entanglement.
发表机构
- Argonne National Laboratory（阿贡国家实验室）
- Stevens Institute of Technology（史蒂文斯理工学院）
- Southern Illinois University（南伊利诺伊大学）
- Center for Nanoscale Materials, Argonne National Laboratory（阿贡国家实验室纳米材料中心）
- Indian Institute of Science Education and Research Thiruvananthapuram（印度科学教育研究 institute 特里凡得琅）
机构由 AI 辅助整理，请以论文原文为准。
