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基于拓扑的量子计算参数调整算法

Jincheng Zhang

Published Sep 3, 2026• 0 citations
Publisher

Abstract

Quantum computing offers the potential for exponentially faster computation compared to classical computing, driven by the ability to utilize quantum phenomena like superposition and entanglement. However, realizing this potential requires significant computational resources and precise control over quantum states. Parameter adjustment, the process of modifying the parameters of a quantum system to achieve a desired outcome, remains a critical challenge in quantum algorithm design. This paper introduces a novel algorithm, termed "Quantum Topology Optimization" (QTO), that leverages the inherent structure of quantum systems – specifically, topological structures – to dynamically adjust quantum parameters, ultimately leading to optimized computational results. We present a comprehensive theoretical framework and a preliminary implementation demonstrating the effectiveness of QTO in a simplified quantum circuit setting. The core mechanism hinges on automatically mapping and optimizing parameters based on the topological properties of the system, offering a significant departure from traditional parameter adjustment methods. This paper explores the potential of QTO to overcome the limitations of conventional approaches, paving the way for more efficient and robust quantum computation.

DOI
10.5281/zenodo.22270556

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Quantum computation holds immense potential for scientific discovery and technological advancement, but the development of efficient quantum algorithms is a significant challenge. This paper explores the application of quantum topology to optimize quantum algorithms, proposing a novel approach that leverages the inherent structure of quantum systems to dynamically adjust algorithm parameters, ultimately leading to enhanced computational efficiency. We introduce a method based on identifying and exploiting topological features within quantum circuits to guide optimization. The core mechanism focuses on using quantum topology to automatically re-parameterize circuits, mitigating the need for manual tuning and promoting more robust and adaptable algorithms. We present a theoretical framework and preliminary experimental results demonstrating the effectiveness of this technique. The resulting algorithm offers a promising pathway toward more efficient quantum computation, potentially bridging the gap between theoretical promise and practical implementation.
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