Quantum Non-Linear Geometry: Topological Structure and a Quantum Computation Model for Complex Nonlinear Geometry

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum non-linear geometry offers a novel approach to understanding and simulating complex geometrical phenomena, particularly those exhibiting non-linear properties. This paper investigates the potential of utilizing quantum non-linear geometry to construct a quantum computation model capable of revealing and manipulating topological structures. We explore the core mechanisms by which non-linear geometry can be leveraged, focusing on the self-similarity inherent in the field. The research aims to develop a model that directly simulates and analyzes topological geometric patterns, providing a foundation for advanced quantum algorithms. This work will highlight the significance of exploring this intersection of geometry and computation, offering a potential pathway to breakthroughs in both theoretical and practical applications of quantum information.

DOI: 10.5281/zenodo.22244755

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