arXiv:2507.08183quant-phcs.LG2025-07被引 3

用可调量子电路学习化学键能与水分子构型,探索量子机器学习在化学中的应用潜力。

Parametrized Quantum Circuit Learning for Quantum Chemical Applications

  • 设计168种量子电路组合,融合14种编码方式与12种变分结构。
  • 在5~16量子比特下测试,发现经典方法易解的问题对量子模型仍具挑战。
  • 首次在真实硬件和噪声模拟上评估量子化学任务性能,揭示实际限制。

在量子机器学习领域,可调量子电路(PQCs)通过固定与可调量子门的组合,为复杂机器学习问题提供了有前景的混合框架。尽管已有诸多应用提出,但针对量子化学相关数据集的研究仍有限。本文研究了PQCs在两个化学意义明确的数据集上的表现:(1) BSE49数据集,包含49类化学键的键分离能;(2) 水分子构型数据集,使用数据驱动耦合簇(DDCC)方法从低阶电子结构方法预测耦合簇单双激发(CCSD)波函数。我们构建了168种PQCs,结合14种数据编码策略与12种变分回路,并在5量子比特和16量子比特电路上进行评估。初步分析基于态矢量仿真,考察电路结构对性能的影响;随后研究电路深度与训练集大小对性能的作用;最后在当前量子硬件上评估最优PQCs的表现,采用噪声模拟('fake' backends)与真实量子设备。结果表明,尽管经典方法可轻松处理的化学问题,对量子方法而言仍具挑战性。

原文摘要 · Abstract (English)

In the field of quantum machine learning (QML), parametrized quantum circuits (PQCs) -- constructed using a combination of fixed and tunable quantum gates -- provide a promising hybrid framework for tackling complex machine learning problems. Despite numerous proposed applications, there remains limited exploration of datasets relevant to quantum chemistry. In this study, we investigate the potential benefits and limitations of PQCs on two chemically meaningful datasets: (1) the BSE49 dataset, containing bond separation energies for 49 different classes of chemical bonds, and (2) a dataset of water conformations, where coupled-cluster singles and doubles (CCSD) wavefunctions are predicted from lower-level electronic structure methods using the data-driven coupled-cluster (DDCC) approach. We construct a comprehensive set of 168 PQCs by combining 14 data encoding strategies with 12 variational ans{ä}tze, and evaluate their performance on circuits with 5 and 16 qubits. Our initial analysis examines the impact of circuit structure on model performance using state-vector simulations. We then explore how circuit depth and training set size influence model performance. Finally, we assess the performance of the best-performing PQCs on current quantum hardware, using both noisy simulations ("fake" backends) and real quantum devices. Our findings underscore the challenges of applying PQCs to chemically relevant problems that are straightforward for classical machine learning methods but remain non-trivial for quantum approaches.

量子机器学习量子化学变分量子算法

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