Non-Linear Topological Geometry: Adaptive Dynamics via Quantum Computation

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

This paper explores the synergistic potential of non-linear topological geometry and quantum computation to achieve higher precision and stability in quantum information storage and processing. We propose a novel algorithm leveraging the dynamic interaction of quantum entangled states with topological structures, driven by an adaptive optimization framework. The core claim is that this approach can autonomously adjust the geometric structure and quantum state of a system, offering a pathway to more robust and accurate quantum information management. We detail the proposed mechanism, outlining the integration of topological principles and quantum entanglement within an adaptive optimization system. This work addresses a significant gap in current research by providing a framework for dynamically shaping topological structures and exploiting quantum entanglement for enhanced data integrity.

DOI: 10.5281/zenodo.22222385

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