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

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Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience. / Lee, Yonghae; Joo, Jae Woo; Lee, Soojoon.

In: Scientific Reports, Vol. 9, 4778 , 18.03.2019.

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@article{05a287d588f247128891770ed596956a,
title = "Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience",
abstract = "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.",
keywords = "RCUK, EPSRC, EP/M013243/1",
author = "Yonghae Lee and Joo, {Jae Woo} and Soojoon Lee",
year = "2019",
month = "3",
day = "18",
doi = "10.1038/s41598-019-41324-9",
language = "English",
volume = "9",
journal = "Scientific Reports",
issn = "2045-2322",
publisher = "Nature Publishing Group",

}

RIS

TY - JOUR

T1 - Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience

AU - Lee, Yonghae

AU - Joo, Jae Woo

AU - Lee, Soojoon

PY - 2019/3/18

Y1 - 2019/3/18

N2 - 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.

AB - 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.

KW - RCUK

KW - EPSRC

KW - EP/M013243/1

U2 - 10.1038/s41598-019-41324-9

DO - 10.1038/s41598-019-41324-9

M3 - Article

VL - 9

JO - Scientific Reports

JF - Scientific Reports

SN - 2045-2322

M1 - 4778

ER -

ID: 14780339