Quantum Topology Geometric Algorithm

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum Topology Geometric Algorithm (QTGGA) is a novel computational framework leveraging quantum topological geometry to address complex geometric relationships within data. This paper introduces a new algorithm that utilizes quantum topological properties to model and analyze data, offering enhanced computational capabilities and adaptability compared to traditional methods. The core mechanism centers around constructing a quantum model representing the underlying geometry, allowing for precise calculations and optimization through quantum computation. We demonstrate the algorithm's efficacy through a focused case study involving the analysis of a synthetic dataset with complex topological features. The paper explores the potential of QTGGA to revolutionize data analysis and modeling, particularly in scenarios demanding adaptability and precision.

DOI: 10.5281/zenodo.22192584

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