Tutorial on Superconducting Quantum Circuits: From Basics to Applications

Quantum Physics arXiv:2512.20913 (quant-ph) [Submitted on 24 Dec 2025] Title:Tutorial on Superconducting Quantum Circuits: From Basics to Applications Authors:Denys Derlian Carvalho Brito, Fernando Valadares, André Jorge Carvalho Chaves View a PDF of the paper titled Tutorial on Superconducting Quantum Circuits: From Basics to Applications, by Denys Derlian Carvalho Brito and 1 other authors View PDF HTML (experimental) Abstract:As superconducting circuits emerge as a leading platform for scalable quantum information processing, building comprehensive bridges from the foundational principles of macroscopic quantum phenomena to the architecture of modern quantum devices is increasingly essential for introducing new researchers to the field. This tutorial provides a self-contained, pedagogical introduction to superconducting quantum circuits at the undergraduate level. Beginning with an overview of superconductivity and the Josephson effect, the tutorial systematically develops the quantization of microwave circuits into the framework of circuit quantum electrodynamics (cQED). The transmon qubit is then introduced as a state-of-the-art application, with a detailed derivation of its Hamiltonian and its interaction with control and readout circuitry. The theoretical formalism is consolidated through a numerical simulation of vacuum Rabi oscillations in a driven transmon-resonator system, a canonical experiment that demonstrates the coherent energy exchange characteristic of the strong coupling regime. This work serves as a foundational guide and first point of contact, equipping students and researchers with the conceptual and mathematical tools necessary to understand and engineer superconducting quantum hardware. Comments: Subjects: Quantum Physics (quant-ph); Applied Physics (physics.app-ph) Cite as: arXiv:2512.20913 [quant-ph] (or arXiv:2512.20913v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.20913 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Braz. J. Phys. 56, 56 (2026) Related DOI: https://doi.org/10.1007/s13538-025-01983-8 Focus to learn more DOI(s) linking to related resources Submission history From: Denys Derlian Carvalho Brito [view email] [v1] Wed, 24 Dec 2025 03:36:14 UTC (468 KB) Full-text links: Access Paper: View a PDF of the paper titled Tutorial on Superconducting Quantum Circuits: From Basics to Applications, by Denys Derlian Carvalho Brito and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 Change to browse by: physics physics.app-ph 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?) Links to Code Toggle Papers with Code (What is Papers with Code?) 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?)