Nonlinear Geometry Topology and Quantum Computing: A Cross-Disciplinary Exploration

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper investigates the intersection of nonlinear geometry topology and quantum computing, proposing a novel quantum computation algorithm predicated on a framework rooted in topological quantum information processing. The core claim is the development of an algorithm capable of achieving deeper control and measurement of quantum entanglement through the incorporation of self-linking and self-connectivity properties within a quantum qubit system. This advancement aims to significantly enhance the efficiency and computational capabilities of quantum computing by leveraging the unique properties of quantum entanglement. The work presents a mechanism for establishing a quantum qubit system structured by topological principles, enabling enhanced entanglement manipulation and utilizing self-association properties to guide quantum computation. The investigation explores the potential for this approach to represent a significant shift in quantum algorithm design, moving beyond the limitations of classical qubit operations.

DOI: 10.5281/zenodo.22621192

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