Quantum-Enhanced Geometric Modeling of Dynamical Systems

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum-enhanced geometric modeling offers a novel approach to simulating complex dynamical systems by leveraging the unique properties of quantum computing. This paper explores the potential of quantum algorithms to enhance geometric modeling techniques, specifically focusing on capturing the effects of entanglement and quantum fluctuations, which are crucial for understanding the evolution of intricate patterns and behaviors within dynamical systems. We present a conceptual framework for applying quantum computing to geometric modeling, detailing the core mechanism of employing quantum algorithms for simulating geometric structures and analyzing their dynamics. The paper highlights the potential benefits of this approach, including improved precision in modeling complex systems, enhanced efficiency in simulation, and a deeper understanding of underlying dynamical phenomena. This work represents a significant step toward utilizing quantum mechanics to revolutionize geometric modeling.

DOI: 10.5281/zenodo.22266845

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