Quantum Topology Geometric Model

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper introduces a novel quantum topological geometry model designed to model and learn complex geometric relationships within data. We leverage the unique properties of quantum topology to construct a model capable of precise representation and calculation, and exploit quantum computing's capabilities for optimization. The core mechanism centers on establishing a foundational model based on quantum topology, employing quantum computation to reveal underlying geometric structures and facilitate efficient data analysis and manipulation. This approach offers a potential paradigm shift in handling complex geometric data, potentially surpassing the limitations of traditional geometric approaches. The paper details the model's architecture, the underlying quantum principles utilized, and preliminary results demonstrating its efficacy in modeling and analyzing specific geometric datasets.

DOI: 10.5281/zenodo.22192515

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