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A Hybrid Quantum Solver for the Lorenz System
S. F. Hafshejani, D. Gaur, Arundhati Dasgupta, R. Benkoczi, N. Gosala, Alfredo Iorio·October 20, 2024·DOI: 10.3390/e26121009
Computer SciencePhysicsMathematicsMedicine
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Abstract
We develop a hybrid classical–quantum method for solving the Lorenz system. We use the forward Euler method to discretize the system in time, transforming it into a system of equations. This set of equations is solved by using the Variational Quantum Linear Solver (VQLS) algorithm. We present numerical results comparing the hybrid method with the classical approach for solving the Lorenz system. The simulation results demonstrate that the VQLS method can effectively compute solutions comparable to classical methods. The method is easily extended to solving similar nonlinear differential equations.