Quantum Convolution Neural Network

Authors

  • Victor Sineglazov National Aviation University, Kyiv, Ukraine https://orcid.org/0000-0002-3297-9060
  • Petro Chynnyk National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

DOI:

https://doi.org/10.18372/1990-5548.76.17667

Keywords:

quantum computer, quantum method of support vectors, quantum convolutional neural network, quantum computing, classification, machine learning

Abstract

In this work, quantum convolutional neural networks are considered in the task of recognizing handwritten digits. A proprietary quantum scheme for the convolutional layer of a quantum convolutional neural network is proposed. A proprietary quantum scheme for the pooling layer of a quantum convolutional neural network is proposed. The results of learning quantum convolutional neural networks are analyzed. The built models were compared and the best one was selected based on the accuracy, recall, precision and f1-score metrics. A comparative analysis was made with the classic convolutional neural network based on accuracy, recall, precision and f1-score metrics. The object of the study is the task of recognizing numbers. The subject of research is convolutional neural network, quantum convolutional neural network. The result of this work can be applied in the further research of quantum computing in the tasks of artificial intelligence.

Author Biographies

Victor Sineglazov , National Aviation University, Kyiv, Ukraine

Doctor of Engineering Science

Professor

Head of the Department of Aviation Computer-Integrated Complexes

Faculty of Air Navigation Electronics and Telecommunications

Petro Chynnyk , National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

Post-graduate student

Artificial Intelligence Department

Institute Applied System Analysis

References

Guillaume Verdon, Mochael Broughton, Jacob Biamonte, “A quantum algorithm to train neural networks using low-depth circuits”, arXiv.org [Electronic resource]. URL: https://arxiv.org/abs/1712.05304 (date of the application: 10.08.2019)

Maria Schuld, Alex Bocharov, Krysta Svore, Nathan Wiebe. Circuit-centric quantum classifiers. arXiv preprint arXiv:1804.00633, 2018.

Metodi i modeli intellektual'nogo analiza dannykh. Praktikum [Yelektronniy resurs]: navchal'nyy posibnik dlya studentov, yaki navchayut'sya za spetsial'nistyu 122 «Komp'yuterní nauki», osvitn'oí̈ programmy «Sistemy i metody shtuchnogo intelektu» / N. I. Nedashkovskaya; KPI im. Igor' Sikors'kogo. – Elektronnyye teksty dani (1 fayl: 1,77 Mbayt). – Kyiv: KPI im. Igor' Sikors'kogo, 2019, 71 s. https://ela.kpi.ua/handle/123456789/53764 [in Ukrainian]

Kvantova realizatsiya klassifikatora metodov opornykh vektorov (SVM): diplom robota opornogo ... bakalavra : 122 Komp'yuternyye nauki / Chinnik Petro Anatoliyovich, Kyiv, 2021, 97 s. [in Ukrainian]

Tak Hur, Leeseok Kim, and Daniel K. Park. “Quantum convolutional neural network for classical data classification”, arXiv.org [Electronic resource]. URL: https://arxiv.org/pdf/2108.00661.pdf (date of the application 2 August 2021)

Edward Grant, Marcello Benedetti, Shuxiang Cao, Andrew Hallam, Joshua Lockhart, Vid Stojevic, Andrew G. Green, and Simone Severini. Hierarchical quantum classifiers. npj Quantum Information, 4(1):65, 2018 https://doi.org/10.1038/s41534-018-0116-9

Robert M. Parrish, Edward G. Hohenstein, Peter L. McMahon, and Todd J. Martı́nez. Quantum computation of electronic transitions using a variational quantum eigensolver. Phys. Rev. Lett., 122:230401, 2019. https://doi.org/10.1103/PhysRevLett.122.230401

Sukin Sim, Peter D. Johnson, and Alán Aspuru-Guzik. Expressibility and entangling capability of parameterized quantum circuits for hybrid quantum-classical algorithms. Advanced Quantum Technologies, 2(12):1900070. 2019. https://doi.org/10.1002/qute.201900070

Martín Larocca, Nathan Ju, Diego García-Martín, Patrick J. Coles, Marco Cerezo, “Theory of overparametrization in quantum neural networks” [Electronic resource]. nature.org URL: https://www.nature.com/articles/s43588-023-00467-6 (date of the application 26 June 2023) https://doi.org/10.1038/s43588-023-00467-6

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Published

2023-06-23

Issue

Section

COMPUTER SCIENCES AND INFORMATION TECHNOLOGIES