稀疏与弱测量对PXP疤痕波包中图边纠缠的认证
Sparse and weak-measurement certification of graph-edge entanglement in PXP scar wavepackets
浏览论文内容
中文总结 AI 辅助
提出一种有限记录弱测量协议，通过图稳定子探针在PXP疤痕波包中认证图边可局域化纠缠，并在二十自旋链上验证了全部十九条边。
中文摘要 AI 辅助
不完美的多体回复本身并不能证明返回态的纠缠性。我们提出了一种有限记录协议，用于在图修饰的PXP链的疤痕波包中认证图边可局域化纠缠。目标簇态具有非零能量方差，因此既不假设精确的目标本征态，也不假设暗态嵌入。未变形哈密顿量的泡利项的新鲜二元探针具有完全可分离的解释，即使在修饰的封锁扇区内也是如此。添加局部图稳定子探针使得已建立的纠缠见证器可同时获得置信界限。对于指定的平方根仪器，施加的最坏情况扰动预算确定了最小化等分配Hoeffding充分采样成本的强度。局部对易子界限解释了在哈密顿量保持活跃时有限持续时间的辅助脉冲。我们在长达二十个自旋的链上、扰动动力学下以及独立实现中测试了该协议。在第一个二十自旋回复时，合成弱记录认证了所有十九条图边。生成器、双色、有界权重和全群基准将该可局域化资源与真正的多体认证区分开来。该协议测量了已知疤痕波包中可恢复的纠缠，并提供了明确的校准及其物理和统计解释的限制。
英文摘要
An imperfect many-body revival does not by itself certify the entanglement of the returning state. We give a finite-record protocol for graph-edge localizable entanglement along scar wavepackets of a graph-dressed PXP chain. The target cluster state has nonzero energy variance, so neither an exact target eigenstate nor a dark-state embedding is assumed. Fresh binary probes of the undeformed Hamiltonians Pauli terms have a fully separable explanation, even within the dressed blockade sector. Adding local graph-stabilizer probes makes established entanglement witnesses accessible with simultaneous confidence bounds. For a specified square-root instrument, an imposed worst-case disturbance budget fixes the strength that minimizes the equal-allocation Hoeffding sufficient sampling cost. A local commutator bound accounts for finite-duration ancilla pulses while the Hamiltonian remains active. We test the protocol on chains through twenty spins, under perturbed dynamics, and with independent implementations. At the first twenty-spin return, synthetic weak records certify all nineteen graph edges. Generator, two-color, bounded-weight, and full-group benchmarks separate this localizable resource from genuine multipartite certification. The protocol measures recoverable entanglement in a known scar wavepacket, with explicit calibration and limits on its physical and statistical interpretation.
发表机构
- School of Physics and Electronic Engineering, Shanxi University（山西大学物理与电子工程学院）
- Collaborative Innovation Center of Extreme Optics, Shanxi University（山西大学极端光学协同创新中心）
- Department of Physics, University of Science and Technology of China（中国科学技术大学物理系）
- School of Instrument Science and Opto-Electronics Engineering, Beijing Information Science and Technology University（北京信息科技大学仪器科学与光电工程学院）
- School of Physics, Beihang University（北京航空航天大学物理学院）
- School of Applied Science, Beijing Information Science and Technology University（北京信息科技大学应用科学学院）
- School of Automation (School of Artificial Intelligence), Beijing Information Science and Technology University（北京信息科技大学自动化学院（人工智能学院））
- School of Space and Earth Sciences, Beihang University（北京航空航天大学空间与地球科学学院）
机构由 AI 辅助整理，请以论文原文为准。
