Dynamic Topology Geometry: A Quantum Evolution Framework

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper explores the integration of dynamic topology and quantum evolution to address the challenges in simulating complex topological systems. The core idea is to leverage the inherent properties of topology and quantum mechanics to construct a computational framework capable of automated identification and simulation of intricate topological structures. We propose a novel approach that combines the principles of quantum state manipulation, quantum entanglement, and quantum tunneling to emulate dynamic topological transformations. This framework utilizes quantum algorithms to enable the simulation of large-scale topological systems, offering potential acceleration compared to classical methods. The work focuses on establishing a robust and efficient methodology for this integrated approach, demonstrating its potential for both theoretical analysis and practical application. This research represents a significant step towards realizing a fundamentally new method for studying and manipulating topological systems, potentially unlocking new insights into their behavior and robustness.

DOI: 10.5281/zenodo.22627163

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