Nonlinear Topological Geometry Quantum Algorithm Design

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper investigates the potential of non-linear topological geometry as a foundation for novel quantum algorithms. We propose a new quantum algorithm, leveraging the inherent structure and topological properties of these spaces, to achieve enhanced efficiency and performance compared to existing quantum approaches. The core mechanism centers around manipulating quantum states through geometric transformations, specifically designed to exploit the unique characteristics of non-linear topology. This research explores the fundamental implications of this approach and highlights the potential for significant advancements in quantum computation.

DOI: 10.5281/zenodo.22278549

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