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自适应量子拓扑的量子计算验证

Jincheng Zhang

Published Sep 2, 2026• 0 citations
Publisher

Abstract

This paper investigates the potential of utilizing adaptive quantum topology for validating quantum computation. Traditional quantum verification methods often rely on static validation procedures, limiting their effectiveness. We propose a novel framework, leveraging the dynamic nature of quantum topology, to dynamically adjust verification parameters, thereby enhancing validation accuracy and efficiency. This work explores the implementation of a quantum verification algorithm based on the concept of controlled topology shifts, offering a potential paradigm shift in quantum computation verification. The core claim focuses on the ability of this framework to detect subtle errors and inconsistencies within quantum algorithms through continuous, adaptive evolution of the underlying quantum structure. This research presents a conceptual framework and preliminary results demonstrating the feasibility of this approach.

DOI
10.5281/zenodo.22245835

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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.