Variational quantum support vector machine based on [Formula: see text] matrix expansion and variational universal-quantum-state generator

We analyze a binary classification problem by using a support vector machine based on variational quantum-circuit model. We propose to solve a linear equation of the support vector machine by using a [Formula: see text] matrix expansion. In addition, it is shown that an arbitrary quantum state is pr...

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Detalles Bibliográficos
Autor principal: Ezawa, Motohiko
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9042879/
https://www.ncbi.nlm.nih.gov/pubmed/35474101
http://dx.doi.org/10.1038/s41598-022-10677-z
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author Ezawa, Motohiko
author_facet Ezawa, Motohiko
author_sort Ezawa, Motohiko
collection PubMed
description We analyze a binary classification problem by using a support vector machine based on variational quantum-circuit model. We propose to solve a linear equation of the support vector machine by using a [Formula: see text] matrix expansion. In addition, it is shown that an arbitrary quantum state is prepared by optimizing a universal quantum circuit representing an arbitrary [Formula: see text] based on the steepest descent method. It may be a quantum generalization of Field-Programmable-Gate Array (FPGA).
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spelling pubmed-90428792022-04-27 Variational quantum support vector machine based on [Formula: see text] matrix expansion and variational universal-quantum-state generator Ezawa, Motohiko Sci Rep Article We analyze a binary classification problem by using a support vector machine based on variational quantum-circuit model. We propose to solve a linear equation of the support vector machine by using a [Formula: see text] matrix expansion. In addition, it is shown that an arbitrary quantum state is prepared by optimizing a universal quantum circuit representing an arbitrary [Formula: see text] based on the steepest descent method. It may be a quantum generalization of Field-Programmable-Gate Array (FPGA). Nature Publishing Group UK 2022-04-26 /pmc/articles/PMC9042879/ /pubmed/35474101 http://dx.doi.org/10.1038/s41598-022-10677-z Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Ezawa, Motohiko
Variational quantum support vector machine based on [Formula: see text] matrix expansion and variational universal-quantum-state generator
title Variational quantum support vector machine based on [Formula: see text] matrix expansion and variational universal-quantum-state generator
title_full Variational quantum support vector machine based on [Formula: see text] matrix expansion and variational universal-quantum-state generator
title_fullStr Variational quantum support vector machine based on [Formula: see text] matrix expansion and variational universal-quantum-state generator
title_full_unstemmed Variational quantum support vector machine based on [Formula: see text] matrix expansion and variational universal-quantum-state generator
title_short Variational quantum support vector machine based on [Formula: see text] matrix expansion and variational universal-quantum-state generator
title_sort variational quantum support vector machine based on [formula: see text] matrix expansion and variational universal-quantum-state generator
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9042879/
https://www.ncbi.nlm.nih.gov/pubmed/35474101
http://dx.doi.org/10.1038/s41598-022-10677-z
work_keys_str_mv AT ezawamotohiko variationalquantumsupportvectormachinebasedonformulaseetextmatrixexpansionandvariationaluniversalquantumstategenerator

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