弗洛凯随机量子电路的无序增强压缩性
Disorder-enhanced compressibility of Floquet random quantum circuits
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中文总结 AI 辅助
研究量子硬件中时间演化算符压缩性与多体系统动力学关系，以弗洛凯随机电路为测试平台，用张量网络模拟，发现强弱无序下算符增长不同，且强无序电路可压缩到更小深度，为噪声设备压缩量子模拟提供有利条件。
中文摘要 AI 辅助
当前量子硬件受噪声和退相干限制，影响高保真酉电路深度。本文研究时间演化算符的压缩性如何依赖多体系统动力学机制。以一维弗洛凯随机电路为测试平台，利用张量网络模拟，通过弗洛凯酉算符及非时序关联函数的算符纠缠熵表征算符增长。发现弱无序时算符快速混沌，强无序时非时序关联函数前沿传播慢、算符纠缠增长对数或近对数。还优化浅砖墙电路近似弗洛凯演化，表明固定对数保真度密度下，强无序电路比弱无序电路可压缩到更小深度。结果表明局域或慢混沌动力学为噪声设备上的压缩量子模拟提供有利条件。
英文摘要
Current quantum hardware is limited by noise and decoherence, which restrict the depth of unitary circuits that can be implemented with high fidelity. We investigate how the compressibility of time-evolution operators depends on the dynamical regime of the underlying many-body system. As a testbed, we study a one-dimensional Floquet random circuit with a tunable competition between interactions and on-site disorder. Using tensor-network simulations, we characterize operator growth through the operator-entanglement entropy of the Floquet unitary as well as of out-of-time-ordered correlators (OTOCs). We find rapid operator scrambling at weak disorder, while strong disorder leads to slow OTOC-front propagation and logarithmic or near-logarithmic operator-entanglement growth over the accessible time window. We then optimize shallow brickwall circuits to approximate the Floquet evolution and show that strong-disorder circuits can be compressed to substantially smaller depths than weak-disorder circuits at fixed logarithmic fidelity density. These results suggest that localized or slowly scrambling dynamics provide a favorable regime for compressed quantum simulation on noisy devices.
