Scalable Test of Genuine Multipartite Entanglement via Partially Randomized Measurements

Quantum Physics arXiv:2608.13725 (quant-ph) [Submitted on 13 Aug 2026] Title:Scalable Test of Genuine Multipartite Entanglement via Partially Randomized Measurements Authors:Jan Wojcik, Pawel Chrabkowski, Wieslaw Laskowski View a PDF of the paper titled Scalable Test of Genuine Multipartite Entanglement via Partially Randomized Measurements, by Jan Wojcik and 2 other authors View PDF HTML (experimental) Abstract:Certifying genuine multipartite entanglement in quantum systems can require a number of measurements that grows exponentially with the system size. Here we introduce a criterion based on correlation-tensor subsector lengths restricted to local measurement planes and show that it can be evaluated using partially randomized measurements without an explicit exponential dependence on the number of qubits. We derive the corresponding bounds for $k$-separable states and illustrate the criterion using representative families of multipartite entangled states. Finally, we demonstrate the practical applicability of the method on an ion-trap quantum computer by certifying genuine five-partite entanglement. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2608.13725 [quant-ph] (or arXiv:2608.13725v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2608.13725 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Wieslaw Laskowski [view email] [v1] Thu, 13 Aug 2026 19:37:49 UTC (131 KB) Full-text links: Access Paper: View a PDF of the paper titled Scalable Test of Genuine Multipartite Entanglement via Partially Randomized Measurements, by Jan Wojcik and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-08 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?)