Multicast quantum network coding as optimal symmetric universal cloning over a quantum network

Quantum Physics arXiv:2608.18471 (quant-ph) [Submitted on 19 Aug 2026] Title:Multicast quantum network coding as optimal symmetric universal cloning over a quantum network Authors:Go Kato, Mio Murao, Masaki Owari View a PDF of the paper titled Multicast quantum network coding as optimal symmetric universal cloning over a quantum network, by Go Kato and 2 other authors View PDF HTML (experimental) Abstract:We study the problem of perfectly multicasting symmetric universal clones of unknown quantum states over quantum networks with free classical communication. We construct a protocol that multicasts symmetric universal clones of input states from multiple source nodes by extending the quantum network coding protocol proposed by Kobayashi et al. We further establish a sufficient condition for perfect multicast in the single-source setting. Specifically, we show that when a single copy of a $q^r$-dimensional input state is available at the source node, where $q$ is a sufficiently large prime power, perfect multicast of the corresponding symmetric universal clone is achievable using a small amount of entanglement shared among the target nodes. This result holds for quantum networks represented by an undirected graph $G$, where each edge corresponds to a noiseless $q$-dimensional quantum channel, provided that there exists an acyclic directed graph $G'$ obtained by assigning directions to the edges of $G$ such that the minimum cut of $G'$ is at least $r$. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2608.18471 [quant-ph] (or arXiv:2608.18471v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2608.18471 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Lecture Notes in Electrical Engineering, vol. 1634, pp. 313-335, 2026 Related DOI: https://doi.org/10.1007/978-3-032-25259-3_26 Focus to learn more DOI(s) linking to related resources Submission history From: Masaki Owari [view email] [v1] Wed, 19 Aug 2026 02:57:22 UTC (64 KB) Full-text links: Access Paper: View a PDF of the paper titled Multicast quantum network coding as optimal symmetric universal cloning over a quantum network, by Go Kato 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?)