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arXiv · 2208.04316

An example of use of Variational Methods in Quantum Machine Learning

Marco Simonetti·Damiano Perri·Osvaldo Gervasi
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Abstract

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.

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Marco Simonetti, Damiano Perri, Osvaldo Gervasi. 2022-08-07. An example of use of Variational Methods in Quantum Machine Learning. https://doi.org/10.1007/978-3-031-10592-0_43

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