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Quantum-Enhanced Differential Equation Modeling of Dynamical Systems

Jincheng Zhang

Published Sep 2, 2026• 0 citations
Publisher

Abstract

Quantum-enhanced differential equation modeling offers a novel approach to understanding and predicting the behavior of complex dynamical systems. This paper explores the potential of incorporating quantum mechanics into the framework of differential equation modeling to achieve significantly enhanced computational efficiency and accuracy. We outline a new methodology utilizing quantum-enhanced algorithms to simulate the evolution of differential equations, demonstrating the ability to represent and analyze systems previously intractable with conventional methods. This research addresses a critical challenge in dynamical systems science – the computational burden associated with complex simulations – and proposes a promising pathway toward more robust and insightful modeling.

DOI
10.5281/zenodo.22241783

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