Nonlinear Geometry and Quantum Algorithms: A Fusion

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

This paper explores the integration of nonlinear geometry and quantum algorithms, proposing a novel quantum computation paradigm centered around the manipulation of topological structures. We outline a framework for building a quantum algorithm leveraging the unique properties of topology and quantum entanglement, specifically focusing on the design of a quantum graph algorithm. The core claim is that this integration yields enhanced computational capabilities compared to traditional approaches, potentially opening new avenues for quantum information processing. We detail the mechanism, highlighting the crucial role of topological properties in driving algorithmic efficiency and exploring the potential of quantum entanglement to accelerate computation. The paper concludes with a discussion of the implications for future research and development in this rapidly evolving field.

DOI: 10.5281/zenodo.22152942

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