Nonlinear Topological Quantum State Self-Organization

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper investigates the phenomenon of self-organization within nonlinear topological quantum states. We propose a novel approach leveraging nonlinear interactions between topological quantum bits (QBs) to induce the spontaneous formation of complex, nonlinear structures. The core claim is that through these interactions, topological quantum states can self-organize, offering potential for new quantum computing and quantum communication protocols. The proposed mechanism involves simulating and controlling the self-organization process of complex quantum systems through nonlinear interactions between QBs, resulting in the formation of quantum states with specific topological properties. The key novelty lies in moving beyond traditional linear interaction models within topological quantum states and introducing nonlinearity to drive the formation of intricate structures. We explore the theoretical framework and potential implications of this self-organization process, highlighting the possibility of engineering novel quantum states with enhanced functionality. Mathematical formulations are presented to illustrate the key concepts and dynamics involved.

DOI: 10.5281/zenodo.22245480

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