Quantum Topology and Nonlinear Topological Transformations

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum topology, a rapidly evolving field, explores the mathematical structure of topological spaces and their relationship to quantum mechanics. This paper investigates the application of quantum probability computation to the simulation of nonlinear topological transformations, offering a novel approach to modeling quantum systems exhibiting complex topology. We present a framework for generating and analyzing these transformations, leveraging the inherent computational power of quantum algorithms to explore the dynamics of topological states. The core claim centers on the development of a robust computational method to accurately simulate the evolution of topological structures, driven by quantum probability calculations. This research offers a promising avenue for understanding the underlying principles of quantum topology and its potential for applications in quantum information theory and materials science.

DOI: 10.5281/zenodo.22501042

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