Algorithmic Design of Heralded Linear Optical Circuits for Multipartite Entanglement

Quantum Physics arXiv:2609.18002 (quant-ph) [Submitted on 16 Sep 2026] Title:Algorithmic Design of Heralded Linear Optical Circuits for Multipartite Entanglement Authors:Jaehee Kim, Hon Wai Lau, William J. Munro, Joonsuk Huh, Seungbeom Chin View a PDF of the paper titled Algorithmic Design of Heralded Linear Optical Circuits for Multipartite Entanglement, by Jaehee Kim and 4 other authors View PDF HTML (experimental) Abstract:Heralded multipartite entanglement is a key resource for various quantum information tasks. However, designing linear optical circuits that generate specific target states is generally challenging due to the complexity of the required optical structures. Here we formulate the design of heralded photonic circuits as an algorithmic graph-search problem. Our framework enables the automated construction and optimization of heralded photonic circuits by substantially reducing the search space using the linear quantum graph (LQG) picture. Our strategy reconstructs circuit structures as graphs in the picture and identifies suitable graphs automatically. As a result, we design efficient schemes for a broad range of useful multipartite resource states, including hypergraph magic states, quantum error correcting codes, general three-qubit states and length-1 caterpillar graph states. Our work establishes an algorithmic framework for the systematic discovery of heralded resource states, laying the foundation for the automated design of increasingly complex multipartite entangled resources. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2609.18002 [quant-ph] (or arXiv:2609.18002v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2609.18002 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Seungbeom Chin [view email] [v1] Wed, 16 Sep 2026 01:46:26 UTC (2,619 KB) Full-text links: Access Paper: View a PDF of the paper titled Algorithmic Design of Heralded Linear Optical Circuits for Multipartite Entanglement, by Jaehee Kim and 4 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-09 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?)