Topological Quantum Adaptive Optimization (TDAO)
Jincheng Zhang
Abstract
This paper introduces TDAO, a novel quantum optimization algorithm designed to address the limitations of traditional optimization methods by dynamically adjusting the quantum potential field during the optimization process. The core mechanism of TDAO involves a dynamic shift in the quantum potential based on the system's inherent dynamics, enabling automated parameter adjustments that lead to improved efficiency. We present a theoretical framework and preliminary experimental validation demonstrating the effectiveness of TDAO in solving complex optimization problems. The paper explores the advantages of this approach over existing quantum algorithms and highlights its potential impact across diverse fields.