量子机器学习提升金刚石氮空位传感器的磁场测量精度。
QML for Quantum Sensing under Measurement-Induced Information Loss

- 将磁场传感建模为监督回归任务,对比经典与量子核模型性能。
- 使用相干量子态时,量子机器学习性能显著优于经典方法。
- 适合关注量子传感与机器学习融合的科研人员阅读。
金刚石中的氮空位(NV)中心可作为高灵敏度固态量子传感器,用于高灵敏度磁力计。然而,在当前的嘈杂中等规模量子(NISQ)时代,从噪声大、采样有限且受测量限制的数据中提取可靠信息仍面临巨大挑战。量子机器学习(QML)有望通过学习量子传感数据与物理信号间的非线性关系,提升参数估计能力。本文研究了在仿NV中心磁力计设置下,QML在磁场估计中的作用。我们将磁场传感建模为监督回归任务,比较了基于测量后经典数据训练的经典机器学习模型,与基于预测量相干量子态训练的量子核模型的性能。目标是隔离测量诱导的信息损失影响,从而提供传感性能的理论上限。该上限仅在学习模型能直接访问相干量子信息时可达。结果表明,当使用相干量子态信息时,基于QML的传感性能显著提升,而模型复杂度或学习范式的变化对其影响较小。这一发现强调了在实际约束条件下,需将量子传感器与QML模型紧密结合以提升磁场传感效果。
原文摘要 · Abstract (English)
Nitrogen-vacancy (NV) centers in diamond can serve as highly sensitive solid-state quantum sensors for high-sensitivity magnetometry. However, in the noisy intermediate-scale quantum (NISQ) era, extracting reliable information from noisy, finite-shot, and measurement-limited sensing data remains a considerable challenge. Whereas, quantum machine learning (QML) offers a potential path to improve parameter estimation by learning nonlinear relationships between quantum-sensing data and the underlying physical signal. In this work, we investigate the role of QML in magnetic-field estimation within an NV center-inspired magnetometry setting. We formulated magnetic field sensing as a supervised regression task. We compared the performance of several classical machine learning models trained on measurement-based classical data with that of quantum kernel-based models trained on pre-measurement coherent quantum states. Our objective is to isolate the impact of measurement-induced information loss and therefore provide a theoretical upper bound on the sensing performance. The upper bound is achievable only when coherent quantum information is directly available to the learning model. Our results show that QML-based sensing performance improves significantly with coherent quantum-state information, and not much with changes in model complexity or learning paradigm. This observation underscores the importance of learning pipelines that tightly integrate quantum sensors and QML models to enhance magnetic field sensing under realistic constraints.
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