Compressibility of genuine multipartite entanglement under the Hadamard map

Quantum Physics arXiv:2608.19427 (quant-ph) [Submitted on 19 Aug 2026] Title:Compressibility of genuine multipartite entanglement under the Hadamard map Authors:Klára Baksová, Lisa T. Weinbrenner View a PDF of the paper titled Compressibility of genuine multipartite entanglement under the Hadamard map, by Kl\'ara Baksov\'a and Lisa T. Weinbrenner View PDF HTML (experimental) Abstract:One of the most counterintuitive effects in the examination of quantum states is the phenomenon of superactivation, which describes the fact that a quantum state, which is useless for a specific task, may become useful when one considers multiple copies of it. This effect can be observed in the case of genuine multipartite entanglement, where local projections from multiple copies to the single-copy Hilbert space could significantly simplify the practical accessibility of its superactivation. We investigate how such projections behave in the limit of many copies, using the Hadamard map as an example, and studying different state families. We show that, in this scheme, for a fixed map, an optimal number of copies exists, beyond which the obtained entanglement decreases, highlighting the differences between entanglement distillation and local projection schemes. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2608.19427 [quant-ph] (or arXiv:2608.19427v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2608.19427 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Klára Baksová [view email] [v1] Wed, 19 Aug 2026 20:25:55 UTC (3,123 KB) Full-text links: Access Paper: View a PDF of the paper titled Compressibility of genuine multipartite entanglement under the Hadamard map, by Kl\'ara Baksov\'a and Lisa T. WeinbrennerView 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?)