Hybrid quantum linear equation algorithm and its experimental test on IBM Quantum Experience
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Updated: Jan 27, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
Published on: November 11, 2013
Yonghae Lee1, Jaewoo Joo2,3, Soojoon Lee4,5,6
1Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul, 02447, Korea.
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.
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