Quantum Topology: Predicting Self-Organized Structures and Algorithms

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum topology, a rapidly developing field, offers a fundamentally different approach to describing and understanding complex quantum systems. This research explores the potential of utilizing quantum topology to predict and manipulate self-organized structures within quantum systems. Specifically, we propose a novel method based on dynamic simulation and the extraction of key topological features to generate algorithms for controlling and manipulating these structures. The core claim centers around the ability to accurately predict and translate these topological properties into practical algorithmic applications. The significance of this work lies in its potential to provide a new framework for analyzing and manipulating quantum systems, potentially leading to advancements in areas such as quantum information processing and metrology. This study investigates the application of this approach to predict and generate structures within a simplified, yet representative, system, highlighting key computational steps and their potential impact on future research.

DOI: 10.5281/zenodo.22263806

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