A Complex-Valued Continuous-Variable Quantum Approximation Optimization Algorithm (CCV-QAOA)
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Quantum Physics arXiv:2604.25950 (quant-ph) [Submitted on 23 Apr 2026] Title:A Complex-Valued Continuous-Variable Quantum Approximation Optimization Algorithm (CCV-QAOA) Authors:Raneem Madani (L2S), Abdel Lisser (L2S), Zeno Toffano (L2S) View a PDF of the paper titled A Complex-Valued Continuous-Variable Quantum Approximation Optimization Algorithm (CCV-QAOA), by Raneem Madani (L2S) and 2 other authors View PDF Abstract:Continuous-variable (CV) quantum systems offer a natural framework for continuous optimization through their infinite-dimensional Hilbert spaces. In this paper, we propose the Complex Continuous-Variable Quantum Approximate Optimization Algorithm (CCV-QAOA), a variational framework operating in the complex domain that optimizes over complex decision variables. The method efficiently solves real and complex multivariate optimization problems. To demonstrate its versatility, we apply CCV-QAOA across a broad suite of optimization use cases, including convex quadratic minimization, scaling studies with circuit depth and cutoff dimension, constrained quadratic programs using penalty constructions, and non-convex benchmarks such as the Styblinski-Tang function and complex quartic landscapes. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.25950 [quant-ph] (or arXiv:2604.25950v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.25950 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Raneem Madani [view email] [via CCSD proxy] [v1] Thu, 23 Apr 2026 08:18:17 UTC (1,862 KB) Full-text links: Access Paper: View a PDF of the paper titled A Complex-Valued Continuous-Variable Quantum Approximation Optimization Algorithm (CCV-QAOA), by Raneem Madani (L2S) and 2 other authorsView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-04 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?) 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?)