基于自适应量子拓扑的算法验证
Jincheng Zhang
Abstract
This paper introduces a novel algorithm validation framework based on adaptive quantum topology. Traditional algorithm verification relies on static validation methods, which often suffer from limitations in scalability and adaptability. Our approach leverages the dynamic nature of quantum topology to dynamically adjust the validation criteria, enhancing verification efficiency and enabling the discovery of novel algorithm patterns. We detail the framework's design, explain the underlying mathematical principles, and provide a preliminary validation example demonstrating the framework's capabilities. The core mechanism centers around constructing a "quantum topology graph" representing the algorithm's state and iteratively updating this graph to ensure the algorithm's properties are consistently satisfied. This framework offers a significant advancement over existing methods by providing a more flexible and robust validation process.