论文标题
用于量子机学习的资源节俭优化器
Resource frugal optimizer for quantum machine learning
论文作者
论文摘要
量子增强的数据科学,也称为量子机学习(QML),作为近期量子计算机的应用,人们越来越感兴趣。 QML算法有可能解决实际硬件上的实际问题,尤其是在涉及量子数据时。但是,培训这些算法可能具有挑战性,并要求量身定制的优化程序。具体而言,由于涉及的大数据集,QML应用程序可能需要大型射击开销。在这项工作中,我们主张在数据集以及定义损失函数的测量运算符上同时进行随机抽样。我们考虑了一个涵盖许多QML应用的高度一般损耗函数,并展示了如何构建其梯度的无偏估计器。这使我们能够提出一个称为Refoqus(用于量子随机梯度下降的资源节俭优化器)的弹药梯度下降优化器。我们的数字表明,相对于单独的测量运算符进行采样的优化者,Refoqus可以节省几个数量级的射击成本。
Quantum-enhanced data science, also known as quantum machine learning (QML), is of growing interest as an application of near-term quantum computers. Variational QML algorithms have the potential to solve practical problems on real hardware, particularly when involving quantum data. However, training these algorithms can be challenging and calls for tailored optimization procedures. Specifically, QML applications can require a large shot-count overhead due to the large datasets involved. In this work, we advocate for simultaneous random sampling over both the dataset as well as the measurement operators that define the loss function. We consider a highly general loss function that encompasses many QML applications, and we show how to construct an unbiased estimator of its gradient. This allows us to propose a shot-frugal gradient descent optimizer called Refoqus (REsource Frugal Optimizer for QUantum Stochastic gradient descent). Our numerics indicate that Refoqus can save several orders of magnitude in shot cost, even relative to optimizers that sample over measurement operators alone.