Non-Linear Topological Geometry Quantum State Dynamics

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper explores the potential of non-linear topological geometry as a foundation for quantum state dynamics simulations, with a focus on molecular physics and materials science. We propose a novel computational framework leveraging quantum entanglement and topological properties to model complex systems, offering a significant advancement over existing methods. The core mechanism involves constructing a computational model that describes quantum state evolution through topological transformations, facilitated by quantum entanglement, leading to accelerated simulation capabilities. We address the challenge of accurately capturing quantum dynamics within these models, particularly in complex systems with intricate interactions. This work lays the groundwork for a new approach to simulating quantum systems, potentially offering improved fidelity and efficiency compared to traditional approaches.

DOI: 10.5281/zenodo.22322014

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