High-Order Quantum Phase Transition Algorithm

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper introduces a novel high-order quantum phase transition algorithm designed to precisely simulate and control quantum phase transitions. Traditional approaches often struggle with the complexity of these transitions, limiting their applicability to materials optimization and design. This algorithm leverages a sophisticated quantum simulation framework and advanced operations to achieve accurate modeling and control, offering a significant advancement in this field. The core mechanism centers around a dynamic quantum state evolution, guided by a tailored control scheme, facilitating the exploration of multiple phase transitions simultaneously. We present a comprehensive theoretical framework and demonstrate the algorithm's effectiveness through a series of applied examples, showcasing its potential for rapid and accurate material design. The algorithm's focus is on enhancing the ability to predict and manipulate phase transitions, thereby unlocking new possibilities in materials science.

DOI: 10.5281/zenodo.22200769

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