Higher rates for semi-device-independent randomness expansion by recycling input randomness
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Quantum Physics arXiv:2604.06457 (quant-ph) [Submitted on 7 Apr 2026] Title:Higher rates for semi-device-independent randomness expansion by recycling input randomness Authors:Rutvij Bhavsar, Hamid Tebyanian, Roger Colbeck View a PDF of the paper titled Higher rates for semi-device-independent randomness expansion by recycling input randomness, by Rutvij Bhavsar and 2 other authors View PDF HTML (experimental) Abstract:Although quantum random number generators rely on the inherent indeterminism of quantum mechanics, ensuring that the numbers produced are secure remains a significant challenge. We introduce two semi-device-independent randomness expansion protocols in a prepare-and-measure setting, where the source and measurement devices are treated as uncharacterised and we assume trust only in testing device, which could be implemented using a photodiode. One protocol achieves expansion by recycling the input randomness, while the other uses a biased input distribution to achieve expansion in settings where recycling is not possible. The protocols are proven secure against quantum side information. Our results show that high randomness rates are achievable under experimentally realistic conditions, with expansion obtained in as few as $10^5$ to $10^6$ rounds with the recycling protocol. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.06457 [quant-ph] (or arXiv:2604.06457v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.06457 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Rutvij Bhavsar Dr [view email] [v1] Tue, 7 Apr 2026 20:56:38 UTC (2,429 KB) Full-text links: Access Paper: View a PDF of the paper titled Higher rates for semi-device-independent randomness expansion by recycling input randomness, by Rutvij Bhavsar and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 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?)