arXiv:2602.16558cs.LGquant-ph2026-02被引 2

参数共享让量子电路更易优化,却隐藏陷阱梯度,误导优化器。

Illustration of Barren Plateaus in Quantum Computing

  • 通过参数共享减少参数量,但引入欺骗性梯度
  • 共享程度越高,梯度越强且误导性越明显
  • 传统优化器在高共享下性能下降,需谨慎调参

变分量子线路(VQCs)是当前量子机器学习的重要范式。尽管参数共享能降低参数维度、可能缓解平谷现象,却带来未被充分关注的复杂权衡。本文系统分析发现,参数共享虽能生成更优全局最优解,但会通过欺骗性梯度改变优化景观——这些区域存在梯度信息,却持续误导优化器远离全局最优。实验表明,随着共享程度增加,解空间更复杂,梯度幅度上升,欺骗性比率显著提高。传统梯度优化器(如Adam、SGD)的收敛性能随共享程度提升而退化,且高度依赖超参数选择。我们提出一种新型梯度欺骗检测算法和量化优化难度的框架,证实参数共享虽可使电路表达力提升数个数量级,却以大幅增加景观欺骗性为代价。这些发现对实际量子电路设计具有重要启示,揭示了经典优化策略与由参数共享塑造的量子参数景观之间的根本不匹配。

原文摘要 · Abstract (English)

Variational Quantum Circuits (VQCs) have emerged as a promising paradigm for quantum machine learning in the NISQ era. While parameter sharing in VQCs can reduce the parameter space dimensionality and potentially mitigate the barren plateau phenomenon, it introduces a complex trade-off that has been largely overlooked. This paper investigates how parameter sharing, despite creating better global optima with fewer parameters, fundamentally alters the optimization landscape through deceptive gradients -- regions where gradient information exists but systematically misleads optimizers away from global optima. Through systematic experimental analysis, we demonstrate that increasing degrees of parameter sharing generate more complex solution landscapes with heightened gradient magnitudes and measurably higher deceptiveness ratios. Our findings reveal that traditional gradient-based optimizers (Adam, SGD) show progressively degraded convergence as parameter sharing increases, with performance heavily dependent on hyperparameter selection. We introduce a novel gradient deceptiveness detection algorithm and a quantitative framework for measuring optimization difficulty in quantum circuits, establishing that while parameter sharing can improve circuit expressivity by orders of magnitude, this comes at the cost of significantly increased landscape deceptiveness. These insights provide important considerations for quantum circuit design in practical applications, highlighting the fundamental mismatch between classical optimization strategies and quantum parameter landscapes shaped by parameter sharing.

量子计算优化器参数共享

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