Topology Geometry Quantum Simulation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper introduces a novel quantum simulation algorithm for topology geometry, aiming to model complex topological structures and uncover hidden structural patterns. Traditional optimization methods rely on classical computation, while quantum simulation offers the potential to simulate intricate evolutionary processes within topological systems. We propose a framework that leverages quantum entanglement and superposition to represent and manipulate topological states, enabling a fundamentally different approach to structural analysis. The core mechanism centers on employing quantum algorithms to explore the multi-dimensional landscape of topological spaces, ultimately identifying key structural features and dynamics. This work presents a preliminary investigation of this approach, demonstrating its potential for advancing our understanding of topological phenomena.

DOI: 10.5281/zenodo.22199427

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