论文标题
量子机学习中使用变异方法的一个示例
An example of use of Variational Methods in Quantum Machine Learning
论文作者
论文摘要
本文介绍了一个基于量子神经网络的深度学习系统，用于在平面上特定几何模式（两个摩尔分类问题）的点的二进制分类。我们认为，混合深度学习系统（经典 +量子）的使用不仅可以在计算加速度方面带来合理的好处，而且在理解基本现象和机制方面都可以带来好处。这将导致创建新的机器学习形式，以及量子计算领域的强大发展。所选数据集基于2D二进制分类生成器，该生成器有助于测试特定算法的有效性；它是一组2D点，形成两个散布的半圆。它在二维表示空间中显示了两个分离的数据集：因此，功能是单个点的两个坐标，$ x_1 $和$ x_2 $。目的是产生一个量子深神经网络，其可识别和分类点的可训练参数数量最少。
This paper introduces a deep learning system based on a quantum neural network for the binary classification of points of a specific geometric pattern (Two-Moons Classification problem) on a plane. We believe that the use of hybrid deep learning systems (classical + quantum) can reasonably bring benefits, not only in terms of computational acceleration but in understanding the underlying phenomena and mechanisms; that will lead to the creation of new forms of machine learning, as well as to a strong development in the world of quantum computation. The chosen dataset is based on a 2D binary classification generator, which helps test the effectiveness of specific algorithms; it is a set of 2D points forming two interspersed semicircles. It displays two disjointed data sets in a two-dimensional representation space: the features are, therefore, the individual points' two coordinates, $x_1$ and $x_2$. The intention was to produce a quantum deep neural network with the minimum number of trainable parameters capable of correctly recognising and classifying points.
