arXiv:2604.24912quant-phcs.LG2026-04

用元学习快速适配超导量子比特的哈密顿模型,无需微扰理论。

Data-Driven Hamiltonian Reduction for Superconducting Qubits via Meta-Learning

论文配图:Data-Driven Hamiltonian Reduction for Superconducting Qubits via Meta-Learning
图 1 · 摘自论文原文
  • 通过元学习从模拟数据中学习控制参数到有效哈密顿量的映射。
  • 仅需少量实测数据即可准确恢复多比特系数,涵盖微扰理论失效区域。
  • 适合量子硬件校准与控制优化,尤其适用于新设备快速建模。

我们提出HAML(基于元学习的哈密顿量自适应),一种用于超导量子处理器有效哈密顿量模型的快速在线适配框架。该框架分为两阶段:首先利用一组模拟器件进行监督训练,学习从控制输入和器件参数到有效哈密顿量系数的离线映射;随后在在线适配阶段,仅需少量可访问的硬件测量数据即可识别新设备的未知参数。通过直接以完整多模态仿真中提取的有效双比特系数为训练目标,HAML隐式实现了从全多模态哈密顿量到有效量子比特描述的约化,无需依赖微扰理论。我们进一步证明,采用方差最大化贪心选择测量配置可提升在线适配效率。在transmon-耦合器-transmon系统上验证了HAML,成功恢复了广泛工作区间内的有效双比特系数,包括施里弗-沃尔夫微扰理论(SWPT)失效的区域。该方法建立了可扩展、样本高效的近中期量子处理器哈密顿量约化与表征方案,对校准、控制和误差缓解具有直接意义。

原文摘要 · Abstract (English)

We introduce HAML (Hamiltonian Adaptation via Meta-Learning), a framework for fast online adaptation of effective Hamiltonian models of superconducting quantum processors. HAML proceeds in two phases. A supervised training phase uses an ensemble of simulated devices to learn an offline map from control inputs and device parameters to effective Hamiltonian coefficients. An online adaptation phase then uses a small number of hardware-accessible measurements to identify the unknown parameters of a new device. By training directly against effective two-qubit coefficients extracted from full multi-mode simulations, HAML implicitly learns the reduction from full multi-mode Hamiltonians to effective qubit descriptions without invoking perturbation theory. We further show that a variance-maximizing greedy selection of measurement configurations boosts online adaptation efficiency. We demonstrate HAML on a transmon-coupler-transmon system, recovering effective two-qubit coefficients across a wide range of operating regimes, including parameter regions where Schrieffer-Wolff perturbation theory (SWPT) breaks down. This establishes a scalable, sample-efficient approach to Hamiltonian reduction and characterization for near-term quantum processors, with direct implications for calibration, control, and error mitigation.

量子计算元学习哈密顿量建模超导量子比特

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