基于量子算法的拓扑几何建模

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential of quantum algorithms to revolutionize the field of topology and geometry. We investigate the application of quantum computation to model complex topological structures, aiming to uncover novel geometric models and facilitate simulation of intricate physical phenomena. The core mechanism centers on leveraging quantum algorithms to emulate intricate topological forms, ultimately contributing to the development of new geometric representations and simulation techniques. This research proposes a paradigm shift in how we approach geometric modeling, moving beyond traditional methods and embracing the unique capabilities of quantum systems. The core claim is that quantum algorithms can provide a significant advantage in simulating and understanding topological structures, offering a pathway for advanced geometric modeling and simulation.

DOI: 10.5281/zenodo.22196819

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