基于拓扑几何的量子计算拓扑特征提取

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum computing is rapidly advancing, and the ability to accurately simulate quantum systems is crucial for realizing practical quantum algorithms. Traditional methods often struggle with the complexities inherent in quantum systems, particularly those exhibiting intricate topological features. This paper proposes a novel approach to quantum state simulation based on topological geometry, utilizing the inherent structure of quantum states to achieve precise and efficient simulation. We introduce a method that leverages the geometry of quantum states to enhance the accuracy and speed of quantum calculations. This approach offers a significant improvement over existing techniques, particularly when dealing with systems exhibiting complex topological structures. The core mechanism involves a sophisticated mapping process that transforms quantum states into geometric representations, enabling precise modeling and optimization. This research explores the potential of this methodology to unlock new capabilities in quantum computing, focusing on the extraction of crucial topological features.

DOI: 10.5281/zenodo.22205084

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