Continuous-variable ADAPT-VQE for bosonic lattice models

Quantum Physics [Submitted on 3 Jun 2026] Continuous-variable ADAPT-VQE for bosonic lattice models Dimitrios Athanasakos, Gloria Tejedor-García, Jack Y. Araz, Mafalda Ramôa, Bharath Sambasivam, Sophia E. Economou, Felix Ringer 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: 20 pages, 10 figures 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 Submission history From: Gloria Tejedor-García [view email] [v1] Wed, 3 Jun 2026 18:00:08 UTC (1,835 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-06 Change to browse by: hep-lat nucl-th References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation 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 Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)