基于自适应量子拓扑的算法设计

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper introduces a novel algorithmic framework, termed "Adaptive Quantum Topology" (AQT), designed to optimize quantum computation. The core principle of AQT leverages the unique properties of quantum topology – a mathematical concept describing the interconnectedness of quantum states – to enhance the efficiency of quantum algorithms. The paper details the framework's design, emphasizing its capacity to generate novel quantum circuits and improve overall computational performance. The significance of this work lies in its potential to overcome limitations of traditional approaches, offering a fundamentally different paradigm for quantum algorithm design. This research explores the mathematical foundations of AQT, outlining the key steps involved in generating and optimizing quantum circuits that exhibit enhanced coherence and fidelity. We present a rigorous analysis of the framework's performance with specific examples demonstrating its efficacy in various quantum computation tasks. The paper concludes with a discussion of future research directions and potential applications.

DOI: 10.5281/zenodo.22241994

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