Nonlinear Topological Geometry: A Quantum Computing Modeling Framework

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper presents a novel quantum computing modeling framework centered around the integration of non-linear topological geometry with quantum state relationships. We introduce a dynamic, self-similar topological structure that leverages these properties to optimize quantum circuit design, ultimately exploring potential unique traits of quantum information storage. The core mechanism involves establishing a highly structured, evolving topology, allowing for adaptive circuit optimization based on inherent geometric properties. Traditional approaches often struggle to capture the complexities of quantum systems, and this framework offers a potentially more efficient and insightful method for algorithm development and information storage.

DOI: 10.5281/zenodo.22196905

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