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Quantum Simulation
A hybrid quantum solver for the Lorenz system
arXiv
Authors: Sajad Fathi Hafshejani, Daya Gaur, Arundhati Dasgupta, Robert Benkoczi, Narasimha Gosala, Alfredo Iorio
Year
2024
Paper ID
37899
Status
Preprint
Abstract Read
~2 min
Abstract Words
88
Citations
N/A
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 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.
Why This Paper Matters
- This paper contributes to the Quantum Machine Learning research area in the Quantum Articles archive.
- It adds a 2024 reference point for readers tracking recent quantum research.
- We develop a hybrid classical-quantum method for solving the Lorenz system.
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