Multi-Class Classification Using Quantum Kernel Methods

Mostafa Mokhles, Ilya Makarov
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Abstract

Quantum machine learning has recently attracted attention in various research fields. One of the most promising areas are kernel methods in quantum computers as they leverage the quantum computers advantage over classical kernels. The embedding of data in Hilbert space of quantum computers is called Quantum Embedding Kernels (QEKs). Many previous researches have explored the idea of using quantum embedding kernels for binary classification problems, demonstrating the advantage of quantum computing. This research is concerned with using these methods for multi-class classification problem and benchmark the results against well-known datasets such as IRIS and MNIST.
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基于量子核方法的多类分类
近年来,量子机器学习在各个研究领域引起了人们的关注。量子计算机中最有前途的领域之一是核方法,因为它们利用了量子计算机优于经典核的优势。在量子计算机的希尔伯特空间中嵌入数据称为量子嵌入核(QEKs)。许多先前的研究已经探索了使用量子嵌入核来解决二值分类问题的想法,展示了量子计算的优势。本研究将这些方法用于多类分类问题,并将结果与IRIS和MNIST等知名数据集进行比较。
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