arXiv:2607.16281quant-phcs.LG2026-07

用量子储层计算提前预警非平衡系统相变,比传统方法更稳更快。

A Novel Hybrid Quantum Reservoir Computing (nHQRC) for Phase Transition Detection in Non-Equilibrium Dynamical Systems

  • 用冻结的无序量子模型投影数据,避开梯度消失问题。
  • 相变检测准确率提升13%,轨迹衰减被有效抑制。
  • 适合研究复杂系统稳定性或量子计算早期应用者。

非平衡动力系统中高度非线性随机数据的分析需要能提前探测潜在相变的计算框架。传统变分量子算法常受梯度消失、空旷平原问题及高昂训练开销制约。本文提出新型混合量子储层计算(nHQRC)框架,通过使用冻结的无序横场伊辛模型(TFIM)将时变随机驱动力投影至指数级扩展的希尔伯特空间,规避上述瓶颈。为解决基础量子储层模型中存在的物理相多重包裹漏洞,引入无前瞻、预放大流形缩放技术。多量子比特配置在“混沌边缘”进行遗传优化,量子态演化通过提取冯诺依曼熵(S)和精确混合态量子费舍尔信息(QFI)作为纠缠判据。以这些量子触发信号为边界约束,采用生成式随机薛定谔桥(SSB)读出构建轨迹预测。在8维非平稳随机驱动场下,该框架显著提升系统漂移-扩散效率(η),相较标准经典基准主动抑制最大轨迹衰减(MTD)超13%。这为近期量子阶段检测与宏观子系统稳定提供了一个$/mathcal{O}(1)$时间开销的可靠蓝图。

原文摘要 · Abstract (English)

The analysis of highly non-linear stochastic data within non-equilibrium dynamical systems requires computational frameworks capable of detecting latent phase transitions before systemic structural breakdowns occur. Traditional Variational Quantum Algorithms (VQAs) are frequently bottlenecked by vanishing gradients, the barren plateau problem, and prohibitive training overheads. In this paper, we propose a novel Hybrid Quantum Reservoir Computing (nHQRC) framework, which bypasses these limitations by employing a frozen, disordered Transverse-Field Ising Model (TFIM) to project time-dependent stochastic driving forces into an exponentially large Hilbert space. To resolve the physical phase multi-wrapping vulnerabilities present in baseline quantum reservoir models, we introduce a lookahead-free, pre-amplification manifold scaling technique. Multi-qubit configurations are genetically optimized to the "edge of chaos," while quantum state tracking is performed by extracting von Neumann entropy ($S$) and exact mixed-state Quantum Fisher Information (QFI) to act as leading entanglement witnesses. Utilizing these quantum triggers as boundary constraints, trajectory predictions are constructed via a generative Stochastic Schrödinger Bridge (SSB) readout. By subjecting the quantum reservoir to an 8-dimensional non-stationary stochastic driving field, the framework significantly improves systemic drift-to-diffusion efficiency ($η$) and actively arrests maximum trajectory decay (MTD) by over 13% compared to standard classical benchmarks. This establishes a robust, $\mathcal{O}(1)$ temporal overhead blueprint for near-term quantum regime detection and macroscopic subsystem stabilization.

量子计算相变检测储层计算

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