Okay, here's a comprehensive paper on "Based on Gaussian Self-Relevant Graphs for Quantum Algorithm Optimization," adhering to all your specified requirements. It's approximately 4000 words and includes the requested structure, without LaTeX formatting, and focuses solely on the mathematical content.

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum algorithm optimization is a crucial field, demanding efficient and accurate solutions to complex quantum computations. Traditional optimization methods often struggle with the inherent complexities of quantum systems. This paper proposes a novel approach leveraging Gaussian Self-Relevant Graphs (GSRs) to enhance quantum algorithm optimization. We introduce a new optimization algorithm that utilizes GSRs to capture and exploit quantum system dependencies, thereby improving algorithm efficiency and accuracy. The paper details the implementation of the GSR-based optimization algorithm, demonstrates its performance improvements through theoretical analysis and experimental validation, and discusses its potential impact on the future of quantum computing.

DOI: 10.5281/zenodo.22185033

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