arXiv:2409.14089quant-phcs.LG2024-09被引 10

量子核方法可高效区分乳腺癌亚型,尤其适合小样本精细分组。

Quantum enhanced stratification of Breast Cancer: exploring quantum expressivity for real omics data

  • 用不同纠缠程度的编码探索量子核分类性能
  • 量子核在更少数据下实现相当聚类效果,支持更多簇数
  • 低表达编码抗噪性强,适合当前噪声量子设备

量子机器学习(QML)被认为是噪声中等规模量子(NISQ)时代最具前景的应用之一。尽管理论前景广阔,其在医学与生物学领域的实际探索仍处于初期阶段。本研究旨在评估量子核(QK)是否能基于分子特征有效分类乳腺癌(BC)患者亚型。通过启发式探索不同纠缠水平的编码配置,权衡核函数表达能力与性能表现。结果表明,量子核在较少数据点下达到与经典方法相当的聚类效果,且可拟合更多簇数;在量子处理器(QPU)上实验显示,低表达编码对噪声更具鲁棒性,表明该计算流程可在当前NISQ设备上可靠运行。研究提示,量子核方法在精准肿瘤学中具有潜力,尤其适用于数据量有限、经典方法难以实现复杂分子数据非平凡分层的场景。

原文摘要 · Abstract (English)

Quantum Machine Learning (QML) is considered one of the most promising applications of Quantum Computing in the Noisy Intermediate Scale Quantum (NISQ) era for the impact it is thought to have in the near future. Although promising theoretical assumptions, the exploration of how QML could foster new discoveries in Medicine and Biology fields is still in its infancy with few examples. In this study, we aimed to assess whether Quantum Kernels (QK) could effectively classify subtypes of Breast Cancer (BC) patients on the basis of molecular characteristics. We performed an heuristic exploration of encoding configurations with different entanglement levels to determine a trade-off between kernel expressivity and performances. Our results show that QKs yield comparable clustering results with classical methods while using fewer data points, and are able to fit the data with a higher number of clusters. Additionally, we conducted the experiments on the Quantum Processing Unit (QPU) to evaluate the effect of noise on the outcome. We found that less expressive encodings showed a higher resilience to noise, indicating that the computational pipeline can be reliably implemented on the NISQ devices. Our findings suggest that QK methods show promises for application in Precision Oncology, especially in scenarios where the dataset is limited in size and a granular non-trivial stratification of complex molecular data cannot be achieved classically.

量子机器学习乳腺癌分型小样本学习量子核

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