Harmonic sequence state-preparation
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Quantum Physics arXiv:2602.23664 (quant-ph) [Submitted on 27 Feb 2026] Title:Harmonic sequence state-preparation Authors:Benjamin Rempfer, Parker Kuklinski, Justin Elenewski, Kevin Obenland View a PDF of the paper titled Harmonic sequence state-preparation, by Benjamin Rempfer and Parker Kuklinski and Justin Elenewski and Kevin Obenland View PDF Abstract:We demonstrate an efficient circuit to prepare a quantum state with amplitudes proportional to a harmonic sequence. We do this by first preparing a large quantum state with linearly related amplitudes and then applying a quantum Fourier transform; this has a direct analogy to the fact that the Fourier coefficients of a sawtooth wave follow a harmonic sequence. We then consider an extension of this problem by block-encoding a matrix with a harmonic sequence along its diagonal. The cost of both circuits is dominated by the costs associated with the quantum Fourier transform. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2602.23664 [quant-ph] (or arXiv:2602.23664v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.23664 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Benjamin Rempfer [view email] [v1] Fri, 27 Feb 2026 04:12:38 UTC (1,070 KB) Full-text links: Access Paper: View a PDF of the paper titled Harmonic sequence state-preparation, by Benjamin Rempfer and Parker Kuklinski and Justin Elenewski and Kevin ObenlandView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-02 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?)