AI 中文总结
研究在NISQ硬件上文氏格点模型中拓扑序交叉问题，采用两阶段策略，先在易处理系统表征交叉特征并量化鲁棒性，再扩展到二维处理器，结果将有限尺寸表征与硬件实现联系，为近期量子处理器制备和探测拓扑特征提供途径。
AI 中文摘要
物质的拓扑相为实现强大的量子信息处理提供了一条有前景的途径。但在当前有噪声的中等规模量子设备上，现实的不完美性下拓扑交叉的特征是否仍可分辨是实验相关问题。本文通过在IBM量子硬件上的两阶段策略，在文氏格点模型中解决此问题。首先用易处理系统系统地表征交叉特征，通过变分编译的平衡态和猝灭生成态，利用局部格点稳定器和威尔逊圈分辨稳定器主导与平凡或无序主导区域间的交叉，并量化其对静态无序、故意放大的电路噪声和有效非厄米场的鲁棒性。猝灭动力学进一步揭示格点扇区特征在强稳定器区域深处比在有限尺寸交叉附近更稳定。基于小系统建立的特性，将实现扩展到使用分层代表性量子比特构造的物理二维IBM处理器。结果表明，在故意放大的局部相干扰动下，所得晶格平均格点响应仅表现出微弱退化。这些结果将受控的有限尺寸表征与可扩展硬件实现联系起来，为在近期量子处理器上制备和探测拓扑特征提供了实用途径。
英文摘要
Topological phases of matter provide a promising route toward robust quantum information processing, but on present-day noisy intermediate-scale quantum devices the experimentally relevant question is whether signatures of topological crossovers remain resolvable under realistic imperfections. Here, we address this question in the Wen--plaquette model through a two-stage strategy on the IBM Quantum hardware. We first use a tractable system to systematically characterize crossover signatures. Using variationally compiled equilibrium and quench-generated states, we resolve crossovers between stabilizer-dominated and trivial or disorder-dominated regimes through local plaquette stabilizers and a Wilson loop, and quantify their robustness against static disorder, deliberately amplified circuit noise, and effective non-Hermitian fields. The quench dynamics further reveal that plaquette-sector signatures remain substantially more stable deep in the strong-stabilizer regime than near the finite-size crossover. Building on the properties established in the small system, we extend the implementation to a physical two-dimensional IBM processor using a layered representative-qubit construction. The resulting lattice-averaged plaquette response exhibits only weak degradation under intentionally amplified local coherent perturbations. Together, these results connect controlled finite-size characterization with a scalable hardware implementation, providing a practical route for preparing and probing topological signatures on near-term quantum processors.
Comments12 figures and 22 pages
