Quantum-Enhanced Iterative Algorithm for Chaos Theory

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper presents a novel quantum-enhanced iterative algorithm designed to address the inherent difficulties in solving chaotic systems. Traditional numerical methods often struggle to converge to stable solutions, particularly for complex, non-linear problems. We introduce a quantum annealing technique to accelerate convergence and enhance the exploration of the solution space, offering a fundamentally different approach to tackling chaos theory. The algorithm leverages quantum phenomena, specifically quantum tunneling, to facilitate the movement towards a stable equilibrium point. We detail the algorithm's design, the underlying quantum mechanics, and preliminary results demonstrating significant improvements in convergence speed and solution quality compared to classical methods. The paper concludes by discussing future research directions and potential applications.

DOI: 10.5281/zenodo.22297209

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