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mathbb{Z}2times mathbb{Z}2 Equivariant Quantum Neural Networks: Benchmarking against Classical Neural Networks

arXiv
Authors: Zhongtian Dong, Marçal Comajoan Cara, Gopal Ramesh Dahale, Roy T. Forestano, Sergei Gleyzer, Daniel Justice, Kyoungchul Kong, Tom Magorsch, Konstantin T. Matchev, Katia Matcheva, Eyup B. Unlu

Year

2023

Paper ID

6397

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

Abstract

This paper presents a comprehensive comparative analysis of the performance of Equivariant Quantum Neural Networks (EQNN) and Quantum Neural Networks (QNN), juxtaposed against their classical counterparts: Equivariant Neural Networks (ENN) and Deep Neural Networks (DNN). We evaluate the performance of each network with two toy examples for a binary classification task, focusing on model complexity (measured by the number of parameters) and the size of the training data set. Our results show that the mathbb{Z}2times mathbb{Z}2 EQNN and the QNN provide superior performance for smaller parameter sets and modest training data samples.

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  • This paper presents a comprehensive comparative analysis of the performance of Equivariant Quantum Neural Networks (EQNN) and Quantum Neural Networks (QNN), juxtaposed against...

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