Quantum circuit compilation for fermionic excitations using the Jordan-Wigner mapping
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Quantum Physics arXiv:2601.07890 (quant-ph) [Submitted on 12 Jan 2026] Title:Quantum circuit compilation for fermionic excitations using the Jordan-Wigner mapping Authors:Renata Wong View a PDF of the paper titled Quantum circuit compilation for fermionic excitations using the Jordan-Wigner mapping, by Renata Wong View PDF HTML (experimental) Abstract:This note bridges the gap between theoretical second quantization and practical quantum hardware by detailing the Jordan-Wigner mapping for the Unitary Coupled Cluster Singles and Doubles (UCCSD) ansatz. Using the hydrogen molecule in a minimal basis as a case study, we explicitly derive the Pauli strings required for single and double excitations. Additionally, we discuss the translation of these operators into quantum circuits, with a focus on implementation nuances such as the difference between mathematical rotations and physical gates like the $\sqrt{X}$ (SX) gate. Comments: Subjects: Quantum Physics (quant-ph) MSC classes: 81-01 Cite as: arXiv:2601.07890 [quant-ph] (or arXiv:2601.07890v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.07890 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Renata Wong [view email] [v1] Mon, 12 Jan 2026 07:51:31 UTC (9 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum circuit compilation for fermionic excitations using the Jordan-Wigner mapping, by Renata WongView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 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?)