Irreducible Architectures of Multipartite Entanglement

Quantum Physics arXiv:2607.23112 (quant-ph) [Submitted on 25 Jul 2026] Title:Irreducible Architectures of Multipartite Entanglement Authors:Augusto Smerzi, Manuel Gessner View a PDF of the paper titled Irreducible Architectures of Multipartite Entanglement, by Augusto Smerzi and 1 other authors View PDF HTML (experimental) Abstract:Multipartite entanglement is commonly characterized by scalar notions such as separability and entanglement depth, which do not resolve the distribution of entangled cluster sizes. For mixed states, we introduce formation profiles that assign weights to the entanglement architectures appearing in pure-state decompositions. We show that after discarding every profile that admits a strictly weaker feasible replacement, the remaining irreducible structure need not be unique: a four-qubit example exhibits a continuous family of incomparable irreducible profiles. Monotone functions of the architectures recover widely used scalar quantifiers as special cases, whereas the full profile geometry retains additional information, including the minimum weight that every decomposition must assign outside a chosen architectural class. Finally, we derive experimentally accessible bounds on these weights from convex witnesses, including the quantum Fisher information, thereby connecting detailed formation structure with practical entanglement certification. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2607.23112 [quant-ph] (or arXiv:2607.23112v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2607.23112 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Augusto Smerzi [view email] [v1] Sat, 25 Jul 2026 08:52:57 UTC (142 KB) Full-text links: Access Paper: View a PDF of the paper titled Irreducible Architectures of Multipartite Entanglement, by Augusto Smerzi and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-07 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?)