@inproceedings{9fdc51986981458bb1fd9ebd71f1daa2,
title = "Solving linear systems by quadratic unconstrained binary optimization on D-Wave quantum annealing device",
abstract = "Many quantum computing algorithms are being developed with the advent of quantum computers. Solving linear systems is one of the most fundamental problems in almost all of science and engineering. HHL algorithm, a monumental quantum algorithm for solving linear systems on the gate model quantum computers, was invented and several advanced variations have been developed. However, HHL-based algorithms have a lot of limitations in spite of their importance. We address solving linear systems on a D-Wave quantum annealing device. To formulate a quadratic unconstrained binary optimization (QUBO) model for a linear system solving problem, we make use of a linear least-square problem with binary representation of the solution. We validate this QUBO model on the D-Wave system and discuss the results.",
keywords = "Linear Systems of Equations, Quadratic Unconstrained Binary Optimization, Quantum Annealing",
author = "Kyungtaek Jun and Rebecca Conley and Yecheng Huang and Hyunkyung Lim and Kwangmin Yu",
note = "Publisher Copyright: {\textcopyright} COPYRIGHT SPIE. Downloading of the abstract is permitted for personal use only.; Quantum Information Science, Sensing, and Computation XIII 2021 ; Conference date: 12-04-2021 Through 16-04-2021",
year = "2021",
doi = "10.1117/12.2591588",
language = "English",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
editor = "Eric Donkor and Michael Hayduk",
booktitle = "Quantum Information Science, Sensing, and Computation XIII",
}