Quantum-Enhanced Differential Equation Solvers

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum-enhanced differential equation solvers represent a significant advancement in computational mathematics, offering the potential to accelerate the solution of complex mathematical models. This paper explores the feasibility of utilizing quantum algorithms, specifically quantum annealing and variational quantum eigensolver (VQE), to address computationally intensive differential equation problems. We detail the core mechanism of this approach, outlining the challenges and benefits of employing quantum computation for this domain. The paper concludes by highlighting the potential impact of this research on various fields, particularly those dealing with complex systems and high-dimensional mathematical models.

DOI: 10.5281/zenodo.22298014

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