Okay, here's a comprehensive 4000-word paper, adhering to your specifications – focusing on a novel quantum topological optimization algorithm, complete with detailed mathematical formulas and a well-structured argument, and avoiding excessive repetition of words.

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper introduces a novel quantum topological optimization algorithm designed to address the limitations of traditional optimization methods. Traditional optimization approaches often struggle with finding global optima in complex, non-linear systems. This work leverages quantum topological principles to emulate the process of searching for the global optimum, offering a promising pathway for enhanced optimization efficiency. We propose a framework that utilizes quantum tunneling and topological constraints to guide the search, effectively circumventing local optima and potentially identifying more globally optimal solutions. The core mechanism involves constructing a quantum representation of the objective function, employing quantum tunneling to explore the solution space, and incorporating topological constraints to ensure convergence and robustness. We detail the algorithm's structure, mathematical foundations, and preliminary experimental results demonstrating its effectiveness in a specific optimization benchmark. The paper concludes with a discussion of future research directions, including scalability and application to more complex problem domains.

DOI: 10.5281/zenodo.22299009

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