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Verifcation of general multi-qudit pure states

Xiao-Dong Zhang, Bin-Bin Cai, Song Lin
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⚡ Quantum Brief
Researchers Xiao-Dong Zhang, Bin-Bin Cai, and Song Lin introduced a novel stabilizer framework to verify multi-qudit pure states, addressing hybrid quantum systems with varying subsystem dimensions. Their method uses adaptive local measurements to verify diverse states—including qutrit-qubit hybrids, arbitrary two-qubit pure states, and complex graph/hypergraph states—without full tomography. The approach matches or exceeds the efficiency of existing verification schemes, offering a scalable solution for composite-dimensional architectures in quantum computing. Key applications include verifying Bell, GHZ, and multihypergraph states, critical for fault-tolerant quantum networks and distributed quantum processing. Published in November 2025, the work provides a unified verification protocol adaptable to mixed-dimensional quantum systems, advancing practical quantum state certification.
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Quantum Physics arXiv:2511.17901 (quant-ph) [Submitted on 22 Nov 2025] Title:Verifcation of general multi-qudit pure states Authors:Xiao-Dong Zhang, Bin-Bin Cai, Song Lin View a PDF of the paper titled Verifcation of general multi-qudit pure states, by Xiao-Dong Zhang and Bin-Bin Cai and Song Lin View PDF Abstract:Verifying prepared quantum states is crucial for hybrid systems whose subsystems may have different local dimensions. We present a generalized stabilizer framework and associated test that apply to general multi-qudit states, including composite-dimensional and hybrid architectures. Using only adaptive local measurements, our method verifies qutrit-qubit states, arbitrary two-qubit pure states, Bell/Bell-like, GHZ/GHZ-like, graph, hypergraph, multigraph, and multihypergraph states, with efficiencies matching or surpassing the best known schemes. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.17901 [quant-ph] (or arXiv:2511.17901v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.17901 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Song Lin [view email] [v1] Sat, 22 Nov 2025 03:31:29 UTC (33 KB) Full-text links: Access Paper: View a PDF of the paper titled Verifcation of general multi-qudit pure states, by Xiao-Dong Zhang and Bin-Bin Cai and Song LinView PDFTeX Source view license Current browse context: quant-ph new | recent | 2025-11 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?)

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