Perfect and peak state transfer on IBM quantum hardware

Quantum Physics arXiv:2610.20855 (quant-ph) [Submitted on 14 Oct 2026] Title:Perfect and peak state transfer on IBM quantum hardware Authors:Priscilla Awuah, Krystal Guo View a PDF of the paper titled Perfect and peak state transfer on IBM quantum hardware, by Priscilla Awuah and 1 other authors View PDF HTML (experimental) Abstract:We run continuous-time quantum walks with perfect and peak state transfer on a present-day superconducting quantum processor, IBM Quantum's $156$-qubit Heron device ibm_kingston, deliberately without error correction or error mitigation. Perfect state transfer and its relaxations have been studied extensively in algebraic graph theory, where one can prove exactly which graphs move a quantum state from one vertex to another with probability one (or with the largest probability the graph allows, in the case of peak state transfer), and at what time. Our experiments cover perfect state transfer on the hypercubes $Q_2 = C_4$ and $Q_3$, and on the Hamming-weighted paths $\mathrm{HP}_n$, the equitable-partition quotients of the hypercubes $Q_n$, for $n$ up to $20$; peak state transfer on the $X_n$ family for $n$ up to $11$; and, for comparison, moving the state along a path of qubits by a sequence of SWAP gates. Comments: Subjects: Quantum Physics (quant-ph); Combinatorics (math.CO) MSC classes: 81P68 (Primary) 81P45, 05C50 (Secondary) Cite as: arXiv:2610.20855 [quant-ph] (or arXiv:2610.20855v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2610.20855 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Krystal Guo [view email] [v1] Wed, 14 Oct 2026 19:45:34 UTC (970 KB) Full-text links: Access Paper: View a PDF of the paper titled Perfect and peak state transfer on IBM quantum hardware, by Priscilla Awuah and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-10 Change to browse by: math math.CO 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?)