Randomized hypergraph states and their entanglement properties

[2506.20075] Randomized hypergraph states and their entanglement properties Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Quantum Physics arXiv:2506.20075 (quant-ph) [Submitted on 25 Jun 2025 ( v1 ), last revised 10 Apr 2026 (this version, v2)] Title: Randomized hypergraph states and their entanglement properties Authors: Vinícius Salem , Alison A. Silva , Fabiano M. Andrade View a PDF of the paper titled Randomized hypergraph states and their entanglement properties, by Vin\'icius Salem and Alison A. Silva and Fabiano M. Andrade View PDF HTML (experimental) Abstract: We study the entanglement properties of randomized mixed hypergraph states, extending the concept of randomized mixed graph states to encompass hypergraph-based quantum states. In our model, imperfect generalized multi-qubit gates are applied probabilistically, simulating experimentally realistic noisy gate operations where gate fidelity decreases with increasing hyperedge order. We analyze bipartite and genuine multipartite entanglement of these mixed multi-qubit states. Numerical results for various hypergraph configurations with up to four qubits reveal rich, sometimes nonmonotonic entanglement behavior stemming from the interplay between hyperedge structure and gate imperfections. We derive analytical expressions for entanglement witnesses based on randomization overlap for new hypergraph families. Our findings contribute to understanding entanglement resilience under gate imperfections, providing insight into the experimental implementation of hypergraph states in noisy quantum devices. Comments: 14 pages, 9 figures, 2 tables, matches published version Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2506.20075 [quant-ph] (or arXiv:2506.20075v2 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2506.20075 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Annalen der Physik 538, e00622 (2026) Related DOI : https://doi.org/10.1002/andp.202500622 Focus to learn more DOI(s) linking to related resources Submission history From: Fabiano Andrade [ view email ] [v1] Wed, 25 Jun 2025 01:02:22 UTC (13,225 KB) [v2] Fri, 10 Apr 2026 10:42:35 UTC (13,231 KB) Full-text links: Access Paper: View a PDF of the paper titled Randomized hypergraph states and their entanglement properties, by Vin\'icius Salem and Alison A. Silva and Fabiano M. Andrade View PDF HTML (experimental) TeX Source view license Current browse context: quant-ph < prev | next > new | recent | 2025-06 References & Citations INSPIRE HEP NASA ADS Google 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? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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