Quantum Computing via Topological Structure Optimization

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum computing holds immense potential to revolutionize various fields, including drug discovery, materials science, and cryptography. However, current quantum algorithms often rely on precise, computationally intensive quantum circuits. This paper explores a novel approach to quantum computation that leverages the unique properties of topological structures to optimize quantum parameter sets, thereby enhancing computational efficiency. We propose a new algorithm based on topological optimization, demonstrating significant improvements over existing methods in specific benchmark problems. This research focuses on the fundamental principles of topological optimization and its application to quantum information processing. The core mechanism involves constructing a topological map representing the parameter space, guiding the search for optimal configurations through a gradient-based optimization process. We provide a detailed description of the algorithm, including the topological map construction, gradient calculation, and optimization procedure. The results showcase the effectiveness of this approach in improving quantum circuit performance and addressing limitations of traditional quantum algorithms.

DOI: 10.5281/zenodo.22465329

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