A hybrid quantum solver for the Lorenz system

Entropy; 2024 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 using the Variational Quantum Linear Solver (VQLS) algorithm. We pre...

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Bibliographic Details
Main Authors:	Hafshejani, Sajad Fathi, Gaur, Daya, Dasgupta, Arundhati, Benkoczi, Robert, Gosala, Narasimha, Iorio, Alfredo
Format:	Journal Article
Language:	English
Published:	20-10-2024
Subjects:	Computer Science - Numerical Analysis Mathematics - Mathematical Physics Mathematics - Numerical Analysis Physics - Mathematical Physics Physics - Quantum Physics
Online Access:	Get full text
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Summary:	Entropy; 2024 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 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.
DOI:	10.48550/arxiv.2410.15417