arXiv:2505.15662quant-phcs.AI2025-05被引 1

用Transformer模型预测量子退火中的能谱变化,自动生成更优退火时序。

Transformer-Based Neural Quantum Digital Twins for Many-Body Spectral Reconstruction and Adaptive Quantum-Annealing Schedule Design

  • 基于图结构的Transformer网络学习量子系统的能谱演化规律。
  • 在10~20个逻辑比特上,使基态成功概率提升2.2至11.7个百分点。
  • 适合需要优化退火时序的量子计算硬件实验人员使用。

我们提出基于Transformer的神经量子数字孪生(Tx-NQDT),用于高效重建多体量子系统在量子退火路径上的低能谱演化,包括基态与第一激发态能量、能隙及跃迁矩阵元。该方法采用图结构感知的Transformer神经网络,训练以估计退火时序设计所需的谱信息,并结合一阶绝热微扰理论(FOAPT)指导的自适应时序构建流程,在预测的能隙瓶颈处分配更多退火时间。在D-Wave量子退火机上的实验(含10、15、20个逻辑变量,最多12个控制点)表明,基于Tx-NQDT生成的退火时序相比默认20μs线性时序,可在易/难问题子集上实现2.2–11.7个百分点的成功率提升,60次测试中44次优于基准。结果证明,利用学习到的逻辑能谱信息自动生成自适应退火时序在实际硬件实验中可行。

原文摘要 · Abstract (English)

We introduce Transformer-based Neural Quantum Digital Twins (Tx-NQDTs) to reconstruct the low-energy spectral evolution of many-body quantum systems along quantum-annealing paths, including ground- and first-excited-state energies, spectral gaps, and transition matrix elements, at efficient computational cost. Tx-NQDTs employ a graph-informed Transformer neural network trained to estimate the spectral information needed for annealing-schedule design. We integrate these estimates with an adaptive schedule-construction procedure guided by first-order adiabatic perturbation theory (FOAPT), which is used as a closed-system spectral diagnostic to allocate annealing time near predicted spectral bottlenecks. Experiments on a D-Wave quantum annealer ($N=10,15,20$ logical variables, with schedules represented by up to 12 control points) show that Tx-NQDT-informed schedules can improve empirical ground-state success probabilities relative to the default $20\,μ\mathrm{s}$ linear schedule under the tested hardware conditions. The proposed schedules achieve success probabilities $2.2$--$11.7$ percentage points higher across the reported easy and hard subsets and outperform the default baseline in 44 of 60 cases. The results demonstrate the feasibility of using learned logical spectral information to automatically generate adaptive quantum-annealing schedules for practical hardware experiments.

量子退火Transformer数字孪生能谱重建

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