Quantum-Enhanced Geometric Chaos Simulation

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper presents a novel quantum algorithm for the accurate simulation of complex geometric chaos systems. Geometric chaos, characterized by intricate, self-repeating patterns, poses a significant challenge for traditional computational methods. Quantum mechanics offers potential advantages in representing and manipulating these patterns, and this work explores the application of quantum algorithms to achieve a more precise and efficient simulation of such systems. We introduce a quantum framework designed to explore the dynamics of such systems, utilizing principles of quantum superposition and entanglement to enhance the representation of chaotic states. We demonstrate the effectiveness of our approach through simulations of a specific, highly complex geometric chaos system, showcasing improvements in accuracy and computational efficiency compared to existing methods. The core mechanism centers on exploiting quantum entanglement to represent and propagate chaotic states, leading to a more robust and nuanced simulation of the system's behavior.

DOI: 10.5281/zenodo.22497540

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