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Quantum Phase Transition Theory: A Framework for Understanding Complex Systems and Optimization

Jincheng Zhang

Published Sep 4, 2026• 0 citations
Publisher

Abstract

Quantum Phase Transition Theory (QPTT) offers a novel perspective on complex system behavior by explicitly modeling quantum state transitions. This paper investigates the application of QPTT to understanding systems undergoing significant change in their quantum states, specifically focusing on the optimization of quantum devices and systems, with a particular emphasis on the advancement of quantum computing and quantum communication. The core claim is to establish a robust model for QPTT, enabling the design of quantum devices and systems through iterative optimization strategies. This research explores the potential of QPTT to provide a deeper understanding of system dynamics and offers a novel approach to optimizing quantum components. The study will highlight the importance of this framework in the context of quantum technologies, providing a foundation for future advancements.

DOI
10.5281/zenodo.22292170

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Quantum Phase Transition Theory (QPTT) offers a novel perspective on complex system behavior by explicitly modeling quantum state transitions. This paper investigates the application of QPTT to understanding systems undergoing significant change in their quantum states, specifically focusing on the optimization of quantum devices and systems, with a particular emphasis on the advancement of quantum computing and quantum communication. The core claim is to establish a robust model for QPTT, enabling the design of quantum devices and systems through iterative optimization strategies. This research explores the potential of QPTT to provide a deeper understanding of system dynamics and offers a novel approach to optimizing quantum components. The study will highlight the importance of this framework in the context of quantum technologies, providing a foundation for future advancements.
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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.
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