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基于动态拓扑的量子算法验证

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

Quantum algorithms are increasingly critical for various applications, demanding robust and adaptable verification methods. Static quantum circuit testing remains a primary approach, but its limitations in handling complex algorithms necessitate novel validation techniques. This paper introduces a novel dynamic topology-based quantum algorithm verification framework, leveraging the inherent flexibility of quantum circuits to dynamically adjust their topology during verification. We propose a method for generating circuit prototypes, executing them with a dynamic topology, and then evaluating the algorithm's performance through a series of topology changes. This framework provides a significant advancement in quantum algorithm validation, enabling real-time optimization and improved performance compared to traditional static methods. The core mechanism focuses on dynamically adjusting circuit topology to explore a wider range of potential solutions.

DOI
10.5281/zenodo.22195286

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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.
This paper introduces a novel quantum algorithm optimization framework based on dynamic topology. Traditional quantum algorithm optimization often relies on static approaches, limiting potential performance gains. This work proposes a dynamic topology optimization algorithm that adapts the quantum algorithm's structure in real-time to enhance efficiency and precision. We demonstrate the efficacy of this approach through a series of experiments, showcasing significant improvements in quantum circuit performance compared to conventional methods. This innovation represents a significant advancement in quantum algorithm optimization, offering a pathway towards more robust and adaptable quantum solutions.
Quantum algorithm verification is a crucial aspect of quantum computing, ensuring the robustness and correctness of quantum computations. Traditional verification methods often rely on static validation schemes, which struggle to adapt to the dynamic nature of quantum algorithms during execution. This paper proposes a novel quantum algorithm validation framework leveraging the concept of adaptive topology, enabling dynamic adjustment of quantum algorithm parameters to enhance verification accuracy and efficiency. We detail the core mechanism, including the design of a validation algorithm that continuously monitors and modifies quantum parameter values based on the algorithm's state. The proposed framework demonstrates improved verification precision and efficiency compared to existing approaches, offering a promising pathway toward robust and scalable quantum verification.
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