论文标题
朝向量子图神经网络:一种自我盖粉学习方法
Towards Quantum Graph Neural Networks: An Ego-Graph Learning Approach
论文作者
论文摘要
Quantum机器学习是一个快速的领域,旨在使用量子算法和量子计算来解决机器学习。由于缺乏物理速度和有效的手段,可以将现实世界数据从欧几里得空间映射到希尔伯特空间,因此,大多数方法都集中在量子类似物或过程模拟上,而不是基于量子柜设计混凝土架构。在本文中,我们提出了一种用于图形结构数据的新型混合量子古典算法,我们将其称为基于自我的量子图神经网络(EGOQGNN)。 EGOQGNN使用张量产品和Unity矩阵表示实现GNN理论框架,从而大大减少了所需的模型参数数量。当由经典计算机控制时,EGOQGNN可以使用适度尺寸的量子设备从输入图处理自我图形来容纳任意尺寸的图形。该体系结构基于从现实世界数据到希尔伯特空间的新型映射。该映射维持数据中存在的距离关系并减少信息丢失。实验结果表明,与这些模型相比,所提出的方法比仅1.68 \%参数的最先进模型优于竞争性最新模型。
Quantum machine learning is a fast-emerging field that aims to tackle machine learning using quantum algorithms and quantum computing. Due to the lack of physical qubits and an effective means to map real-world data from Euclidean space to Hilbert space, most of these methods focus on quantum analogies or process simulations rather than devising concrete architectures based on qubits. In this paper, we propose a novel hybrid quantum-classical algorithm for graph-structured data, which we refer to as the Ego-graph based Quantum Graph Neural Network (egoQGNN). egoQGNN implements the GNN theoretical framework using the tensor product and unity matrix representation, which greatly reduces the number of model parameters required. When controlled by a classical computer, egoQGNN can accommodate arbitrarily sized graphs by processing ego-graphs from the input graph using a modestly-sized quantum device. The architecture is based on a novel mapping from real-world data to Hilbert space. This mapping maintains the distance relations present in the data and reduces information loss. Experimental results show that the proposed method outperforms competitive state-of-the-art models with only 1.68\% parameters compared to those models.