Quantum Topology Self-Similarity Based Algorithm Optimization

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum topology, a fascinating field of mathematics, offers unique properties that have implications for various areas of science and engineering. The concept of self-similarity, a fundamental aspect of quantum mechanics, has attracted significant attention, particularly in the context of algorithm design. This paper investigates the potential of utilizing quantum topology to optimize quantum algorithms, proposing a novel algorithm that leverages the inherent self-similarity of quantum systems to enhance algorithm efficiency and stability. We explore the design of a quantum optimization algorithm based on principles of quantum topology, focusing on parameter adjustments that promote robustness and adaptability. The core mechanism centers on exploiting the geometric properties of quantum systems to guide the optimization process, leading to improved performance compared to traditional approaches. This research aims to contribute to the advancement of quantum algorithm design and address limitations in current algorithmic methodologies.

DOI: 10.5281/zenodo.22265105

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