Dynamic Topology Transformations via Quantum Computing: A Novel Approach to Topological Simplification

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper introduces a novel dynamic topology transformation technique leveraging quantum computing to streamline and optimize topological structures, thereby reducing computational complexity. Traditional topological transformation methods are often limited by the computational demands of classical algorithms. Quantum computing offers unique capabilities, particularly in the manipulation of quantum states and entanglement, that can significantly accelerate these transformations. We propose a new algorithm employing quantum entanglement and superposition to iteratively refine topological structures, effectively simplifying them and minimizing the required computational resources. The core mechanism involves a sequence of quantum operations designed to induce specific topological transformations, driven by the inherent properties of quantum mechanics. This work presents a preliminary investigation of the feasibility and potential advantages of this approach in tackling complex topological problems.

DOI: 10.5281/zenodo.22638646

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