Self-Organizing Quantum States: A Topological Dynamics Perspective
Jincheng Zhang
Abstract
This paper explores the interplay between topological dynamics and self-organization within quantum states. We investigate how the inherent topological properties of quantum states can drive self-organizing behavior, aiming to understand and potentially harness these phenomena for applications in quantum computing and quantum information. The core mechanism focuses on utilizing the principles of topology to model the self-organization of quantum states, offering a novel framework for analyzing and controlling quantum systems. This work presents a theoretical investigation and preliminary results demonstrating the potential of this approach, highlighting the significant implications for the field.