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With the advent of quantum annealers, many quantum computing algorithms are being developed. Solving linear systems is one of the important problems in science and engineering. Recently, a quadratic unconstrained binary optimization (QUBO) model that can implement a linear system in a quantum annealing device has been developed. The developed QUBO model has the advantage in that it can be used for the gate model by using the quantum approximate optimization algorithm. To verify the optimal QUBO model for a linear system, we derive several QUBO models with constrained coefficients for the linear system including the constrained method. We compare and discuss the results for each QUBO model on the D-Wave system.
Hyunju Lee,Seungjoon Noh, andKyungtaek Jun
"Effective QUBO modeling for solving linear systems on D-wave quantum annealing device", Proc. SPIE 12093, Quantum Information Science, Sensing, and Computation XIV, 120930F (30 May 2022); https://doi.org/10.1117/12.2632416
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Hyunju Lee, Seungjoon Noh, Kyungtaek Jun, "Effective QUBO modeling for solving linear systems on D-wave quantum annealing device," Proc. SPIE 12093, Quantum Information Science, Sensing, and Computation XIV, 120930F (30 May 2022); https://doi.org/10.1117/12.2632416