Simple, accurate lumped-element models of distributed resonators for superconducting quantum circuits

Quantum Physics arXiv:2607.19543 (quant-ph) [Submitted on 21 Jul 2026] Title:Simple, accurate lumped-element models of distributed resonators for superconducting quantum circuits Authors:Elizabeth H. Kunz, Eli M. Levenson-Falk View a PDF of the paper titled Simple, accurate lumped-element models of distributed resonators for superconducting quantum circuits, by Elizabeth H. Kunz and Eli M. Levenson-Falk View PDF HTML (experimental) Abstract:Superconducting quantum circuit design is reliant on accurately mapping design parameters to a quantum Hamiltonian. Designers typically rely on computationally intensive finite-element electromagnetic simulations. However, effective circuit-level models can in principle capture much of the relevant physics for these systems, reducing the need for finite-element simulations. A barrier to implementing these simpler models has been the prevalence of distributed elements such as coplanar waveguides resonators in device designs. Techniques for modeling these distributed elements have been developed, but may be difficult to scale, reduce intuition, and give inaccurate results under strong coupling. In this work we describe a simple effective circuit-level model that faithfully reproduces the scattering parameters, and subsequently can predict certain Hamiltonian parameters, for a coupled, distributed element within a broader two-port network even up to strong coupling. Our approach does not explicitly require an electromagnetic simulation. Our model, along with other common lumped models used in black box quantization, is publicly available to researchers via an open-source code package, $\texttt{simpleLOMs}$. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2607.19543 [quant-ph] (or arXiv:2607.19543v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2607.19543 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Eli Levenson-Falk [view email] [v1] Tue, 21 Jul 2026 19:42:15 UTC (940 KB) Full-text links: Access Paper: View a PDF of the paper titled Simple, accurate lumped-element models of distributed resonators for superconducting quantum circuits, by Elizabeth H. Kunz and Eli M. Levenson-FalkView 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?)