Title: Adaptive Nonlinear Geometry Topological Control for Quantum Topology

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum topology offers a fundamentally new approach to manipulating and controlling quantum systems, potentially surpassing the limitations of classical approaches. This paper explores the application of adaptive nonlinear geometry topological control as a core mechanism for enhancing the stability and performance of quantum systems. We propose a framework based on dynamically adjusting geometric topologies to achieve precise control over quantum states. This dynamic control is driven by a self-organizing system of topological constraints, allowing for the exploration of complex quantum states and ultimately improving the robustness of quantum algorithms. The theoretical and experimental foundations for this approach are presented, demonstrating the potential of this paradigm shift in quantum information processing. The research emphasizes the significance of this work in advancing the field of quantum topology and its implications for future quantum technologies.

DOI: 10.5281/zenodo.22183810

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