Nonlinear Topological Geometry and the Unity of Quantum Computing

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper explores the convergence of nonlinear topological geometry and quantum computing, proposing a unified computational framework based on the interplay between topological quantum properties and quantum computation. We investigate the potential of leveraging these intertwined concepts to design novel quantum algorithms that surpass the limitations of traditional quantum computing approaches. The core mechanism focuses on embedding topological structure into quantum algorithms, thereby enhancing their computational power and enabling new functionalities. The research delves into the fundamental properties of topological geometry and its potential application within the realm of quantum computation. The paper concludes with a discussion of the implications of this unified approach for the future of quantum information processing.

DOI: 10.5281/zenodo.22297917

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