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Continuous-variable ADAPT-VQE for bosonic lattice models

arXiv Quantum Physics
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Researchers introduced a continuous-variable adaptive variational quantum eigensolver (CV-ADAPT-VQE) for bosonic lattice models, published in June 2026. The method optimizes ground-state preparation for quantum simulations. The team applied CV-ADAPT-VQE to the Bose-Hubbard model and bosonic Kitaev chain, both with symmetry constraints—total boson number and global parity, respectively—demonstrating tailored operator pools for each case. GPU-based classical simulations showed CV-ADAPT-VQE achieves significantly shallower quantum circuits compared to traditional Hamiltonian-based VQE approaches, reducing computational overhead. Potential applications span condensed-matter physics, quantum chemistry, and high-energy physics, offering a scalable framework for simulating complex bosonic systems. The work highlights a critical advance in variational quantum algorithms, bridging theory and near-term quantum hardware limitations.
Continuous-variable ADAPT-VQE for bosonic lattice models

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Quantum Physics arXiv:2606.05297 (quant-ph) [Submitted on 3 Jun 2026] Title:Continuous-variable ADAPT-VQE for bosonic lattice models Authors:Dimitrios Athanasakos, Gloria Tejedor-García, Jack Y. Araz, Mafalda Ramôa, Bharath Sambasivam, Sophia E. Economou, Felix Ringer View a PDF of the paper titled Continuous-variable ADAPT-VQE for bosonic lattice models, by Dimitrios Athanasakos and 6 other authors View PDF HTML (experimental) Abstract:We present a continuous-variable adaptive variational quantum eigensolver (CV-ADAPT-VQE). As concrete examples, we consider the ground-state preparation for (i) the Bose-Hubbard model and (ii) the bosonic Kitaev chain, including its extension with an on-site Kerr interaction. The former conserves the total boson number, while the latter conserves global parity. We construct symmetry-preserving operator pools tailored to each case and show, using GPU-based classical simulations, that CV-ADAPT-VQE results in significantly shallower circuits compared to Hamiltonian-based VQE approaches. Our results point toward direct applications in quantum simulations of condensed-matter systems, quantum chemistry, and high-energy physics. Comments: Subjects: Quantum Physics (quant-ph); High Energy Physics - Lattice (hep-lat); Nuclear Theory (nucl-th) Cite as: arXiv:2606.05297 [quant-ph] (or arXiv:2606.05297v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.05297 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Gloria Tejedor-García [view email] [v1] Wed, 3 Jun 2026 18:00:08 UTC (1,835 KB) Full-text links: Access Paper: View a PDF of the paper titled Continuous-variable ADAPT-VQE for bosonic lattice models, by Dimitrios Athanasakos and 6 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 Change to browse by: hep-lat nucl-th 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?)

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Source: arXiv Quantum Physics