Non-Linear Topological Geometry: A Foundation for Quantum Computing

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential of combining the inherent non-linear properties of topological geometry with the quantum entanglement mechanism to design novel quantum algorithms. We propose a new computational paradigm centered on the concept of "uncertainty matrices" within the topological structure, aiming to reduce computational complexity and enable parallel processing by exploiting the inherent randomness in quantum systems. The core claim is that this integration will lead to algorithms exceeding the capabilities of classical approaches, fundamentally altering the landscape of quantum computing. This work investigates the potential of leveraging topological geometry to enhance quantum algorithm design and offer a path towards more powerful and versatile computational solutions.

DOI: 10.5281/zenodo.22195265

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