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Improving the efficiency of QAOA using efficient parameter transfer initialization and targeted-single-layer regularized optimization with minimal performance degradation

Shubham Patel, Utkarsh Mishra
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Researchers Shubham Patel and Utkarsh Mishra demonstrated an 8.06x speedup in QAOA for unweighted graphs using parameter transfer initialization and targeted single-layer optimization, achieving 98.88% of full optimization’s performance. The method excelled on 3-regular, Erdős-Rényi, and Barabási-Albert graphs for MaxCut problems but struggled with weighted graphs (under 90% optimality for larger nodes), except for weighted 3-regular cases. In 8.92% of tests, the targeted approach outperformed full optimization, revealing how complex parameter landscapes can trap traditional methods in suboptimal local minima. L2 regularization smoothed the optimization landscape, reducing inconsistent cases where targeted optimization beat full optimization from 8.92% to 3.81%. This work proves targeted-layer optimization with smart initialization can drastically cut QAOA’s computational cost while preserving near-optimal solutions for specific graph families.
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Quantum Physics arXiv:2601.15760 (quant-ph) [Submitted on 22 Jan 2026] Title:Improving the efficiency of QAOA using efficient parameter transfer initialization and targeted-single-layer regularized optimization with minimal performance degradation Authors:Shubham Patel, Utkarsh Mishra View a PDF of the paper titled Improving the efficiency of QAOA using efficient parameter transfer initialization and targeted-single-layer regularized optimization with minimal performance degradation, by Shubham Patel and Utkarsh Mishra View PDF HTML (experimental) Abstract:Quantum approximate optimization algorithm (QAOA) have promising applications in combinatorial optimization problems (COPs). We investigated the MaxCut problem in three different families of graphs using QAOA ansats with parameter transfer initialization followed by targeted single layer optimization. For 3 regular (3R), Erdos Renyi (ER), and Barabasi Albert (BA) graphs, the parameter transfer approach achieved mean approximation ratios of 0.9443 for targeted-single layer optimization as compared to 0.9551 of full optimization. It represents 98.88 percent optimal performance, with 8.06 times computational speedup in unweighted graphs. But, in weighted graph families, optimal performance is relatively low (less than 90 percent) for higher nodes graph, suggesting parameter transfer followed by targeted-single-layer optimization is not ideal for weighted graph families, however, we find that for some weighted families (weighted 3-regular) this approach works perfectly. In 8.92 percent test cases, targeted single layer optimization outperformed the full optimization, indicating that complex parameter landscape can trap full optimization in sub-optimal local minima. To mitigate this inconsistency, ridge (L2) regularization is used to smoothen the solution landscape, which helps the optimizer to find better optimum parameters during full optimization and reduces these inconsistent test cases from 8.92 percent to 3.81 percent. This work demonstrates that efficient parameter initialization and targeted-single-layer optimization can improve the efficiency of QAOA with minimal performance degradation. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.15760 [quant-ph] (or arXiv:2601.15760v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.15760 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Shubham Patel [view email] [v1] Thu, 22 Jan 2026 08:51:03 UTC (522 KB) Full-text links: Access Paper: View a PDF of the paper titled Improving the efficiency of QAOA using efficient parameter transfer initialization and targeted-single-layer regularized optimization with minimal performance degradation, by Shubham Patel and Utkarsh MishraView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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