Proposal for Estimating the Energy Gap of the Transverse-Field Ising Hamiltonian Using a D-Wave Quantum Annealer

Quantum Physics arXiv:2607.21940 (quant-ph) [Submitted on 24 Jul 2026] Title:Proposal for Estimating the Energy Gap of the Transverse-Field Ising Hamiltonian Using a D-Wave Quantum Annealer Authors:Kota Yamada, Yuichiro Matsuzaki View a PDF of the paper titled Proposal for Estimating the Energy Gap of the Transverse-Field Ising Hamiltonian Using a D-Wave Quantum Annealer, by Kota Yamada and Yuichiro Matsuzaki View PDF HTML (experimental) Abstract:The transverse-field Ising model is a fundamental quantum spin system that captures the competition between quantum fluctuations and interactions, playing a central role in studies of quantum phase transitions and non-equilibrium dynamics. However, classical computations of ground and excited states in large-scale or high-dimensional systems are severely limited by the exponential growth of the Hilbert space. Here, we propose a novel approach using a D-Wave quantum annealer, where a triangular-wave oscillating magnetic field is applied to induce Rabi oscillations, allowing the estimation of energy gaps between the ground and excited states. Unlike conventional quantum annealing methods limited to ground-state searches, this approach can directly access excited-state information. It is potentially applicable to larger systems, providing a new avenue for quantum-device-based simulation. The validity of the method is demonstrated through numerical simulations of relatively small systems. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2607.21940 [quant-ph] (or arXiv:2607.21940v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2607.21940 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Kota Yamada [view email] [v1] Fri, 24 Jul 2026 03:24:37 UTC (2,038 KB) Full-text links: Access Paper: View a PDF of the paper titled Proposal for Estimating the Energy Gap of the Transverse-Field Ising Hamiltonian Using a D-Wave Quantum Annealer, by Kota Yamada and Yuichiro MatsuzakiView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-07 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?)