Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience

We propose a hybrid quantum algorithm based on the Harrow-Hassidim-Lloyd (HHL) algorithm for solving a system of linear equations. In this paper, we show that our hybrid algorithm can reduce a circuit depth from the original HHL algorithm by means of a classical information feed-forward after the qu...

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Autores principales: Lee, Yonghae, Joo, Jaewoo, Lee, Soojoon
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6423050/
https://www.ncbi.nlm.nih.gov/pubmed/30886316
http://dx.doi.org/10.1038/s41598-019-41324-9
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author Lee, Yonghae
Joo, Jaewoo
Lee, Soojoon
author_facet Lee, Yonghae
Joo, Jaewoo
Lee, Soojoon
author_sort Lee, Yonghae
collection PubMed
description We propose a hybrid quantum algorithm based on the Harrow-Hassidim-Lloyd (HHL) algorithm for solving a system of linear equations. In this paper, we show that our hybrid algorithm can reduce a circuit depth from the original HHL algorithm by means of a classical information feed-forward after the quantum phase estimation algorithm, and the results of the hybrid algorithm are identical to those of the HHL algorithm. In addition, it is experimentally examined with four qubits in the IBM Quantum Experience setups, and the experimental results of our algorithm show higher accurate performance on specific systems of linear equations than that of the HHL algorithm.
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spelling pubmed-64230502019-03-26 Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience Lee, Yonghae Joo, Jaewoo Lee, Soojoon Sci Rep Article We propose a hybrid quantum algorithm based on the Harrow-Hassidim-Lloyd (HHL) algorithm for solving a system of linear equations. In this paper, we show that our hybrid algorithm can reduce a circuit depth from the original HHL algorithm by means of a classical information feed-forward after the quantum phase estimation algorithm, and the results of the hybrid algorithm are identical to those of the HHL algorithm. In addition, it is experimentally examined with four qubits in the IBM Quantum Experience setups, and the experimental results of our algorithm show higher accurate performance on specific systems of linear equations than that of the HHL algorithm. Nature Publishing Group UK 2019-03-18 /pmc/articles/PMC6423050/ /pubmed/30886316 http://dx.doi.org/10.1038/s41598-019-41324-9 Text en © The Author(s) 2019 Open Access This 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 license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license 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 license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Lee, Yonghae
Joo, Jaewoo
Lee, Soojoon
Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience
title Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience
title_full Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience
title_fullStr Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience
title_full_unstemmed Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience
title_short Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience
title_sort hybrid quantum linear equation algorithm and its experimental test on ibm quantum experience
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6423050/
https://www.ncbi.nlm.nih.gov/pubmed/30886316
http://dx.doi.org/10.1038/s41598-019-41324-9
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