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自适应拓扑变换的基于量子计算的动态调整

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

This paper explores the application of quantum computing to enhance the efficiency of topological transformations. Traditional topological transformations often require computationally intensive and static procedures. This work introduces a novel algorithm leveraging quantum computation to dynamically adjust transformation parameters, offering a pathway for significantly improved computational efficiency in topological analysis. The core mechanism involves utilizing quantum entanglement and superposition to iteratively refine the transformation, ultimately leading to more effective results than conventional methods. We present a framework for dynamically optimizing the transformation process, addressing the limitations of static approaches and demonstrating its potential for accelerating topological research. The proposed algorithm provides a foundation for exploring more complex transformations and potentially uncovering new insights into topological phenomena.

DOI
10.5281/zenodo.22188482

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Quantum-inspired topology transformations are a burgeoning field with the potential to revolutionize computational geometry and related tasks. This paper introduces a novel algorithm, termed "Quantum Adaptive Topology Transform" (QATT), leveraging quantum entanglement and quantum computation to dynamically adjust transformation parameters, thereby significantly enhancing the efficiency of topology transformations. We demonstrate the effectiveness of QATT through rigorous analysis and practical implementation, highlighting its ability to overcome limitations of traditional approaches. The core mechanism centers around a quantum state evolution process that iteratively refines transformation parameters based on a feedback loop, leading to improved results with minimal computational overhead. This work presents a fundamentally new approach to topology transformations, offering a promising pathway towards more efficient and versatile algorithms.
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