Quantum Complexity Theory via Topological Phase Transitions

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum Complexity Theory (QCT) aims to provide a framework for understanding and predicting the behavior of complex quantum systems. This paper explores a novel approach based on topological phase transitions, offering a new perspective on the study of quantum mechanics and its applications. We propose a method for modeling the system using a topological graph, analyzing transitions between states, and utilizing the inherent properties of topological phases to uncover underlying dynamics. This work integrates topology and quantum mechanics to provide a robust and insightful tool for analyzing complex quantum phenomena. The framework presented herein offers a potential pathway to developing more accurate simulations and predictions, ultimately advancing our comprehension of quantum systems.

DOI: 10.5281/zenodo.22251440

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