The following is a comprehensive paper on Non-Euclidean Geometry Topological Quantum Computing Models, aiming for a 4000-word document, adhering to your specific requirements.

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper explores the potential of Non-Euclidean Geometry Topological Quantum Computing Models. Traditional quantum computing models often struggle with complex geometric topologies, limiting their applicability to certain problems. We propose a novel framework that leverages the unique properties of non-Euclidean geometry, combined with quantum computation's inherent capabilities, to achieve significant advancements in geometric simulations and optimization. This investigation delves into the theoretical foundations, algorithm design, and potential practical implications of this approach. The core claim focuses on establishing a robust quantum computation model that effectively visualizes and manipulates non-Euclidean geometries, ultimately enabling the simulation of complex topological phenomena. The paper highlights the significance of this research for advancing the field of quantum computing, particularly in areas requiring intricate geometric modeling and optimization.

DOI: 10.5281/zenodo.22496000

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