Quantum Simulation Algorithm for Topological Optimization – A Novel Approach

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

Quantum simulation has emerged as a powerful tool for simulating complex quantum systems, offering unprecedented capabilities for understanding fundamental physics. However, current quantum algorithms often struggle with the inherent challenges of simulating intricate topological structures, limiting their practical application. This paper introduces a novel quantum simulation algorithm, dubbed "Quantum Topological Optimization" (QTO), designed to address these challenges by incorporating a novel "拓扑正则化" mechanism. The algorithm focuses on minimizing computational errors during the simulation of topological data structures, specifically targeting complex geometric shapes. This paper details the design of the QTO algorithm, its key components, and its performance evaluation, highlighting its potential to significantly enhance the accuracy and efficiency of topological simulation. We provide a comprehensive analysis of the algorithm's strengths and weaknesses, demonstrating its effectiveness in simulating a range of topological structures.

DOI: 10.5281/zenodo.22223248

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