Experimental demonstration of optimal measurement for unambiguously discriminating asymmetric qudit states
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Quantum Physics arXiv:2603.09026 (quant-ph) [Submitted on 9 Mar 2026] Title:Experimental demonstration of optimal measurement for unambiguously discriminating asymmetric qudit states Authors:Kang-Min Hu, Min Namkung, Myung-Hyun Sohn, Hyang-Tag Lim View a PDF of the paper titled Experimental demonstration of optimal measurement for unambiguously discriminating asymmetric qudit states, by Kang-Min Hu and 3 other authors View PDF HTML (experimental) Abstract:Identification of nonorthogonal quantum states without error is crucial for various applications in quantum information technology, as well as the foundations of quantum physics. Theoretical studies have proposed measurements that maximize the success probability of unambiguously discriminating quantum states. However, these methods are not always experimentally feasible, which has led most demonstrations to focus on equiprobable symmetric states. Here, we establish a projective measurement scheme that optimally discriminates multiple asymmetric qudit states. We experimentally demonstrate this optimal projective measurement using a photonic orbital angular momentum state, where asymmetric qudit states are encoded in the Laguerre-Gaussian modes of a heralded single-photon state. Our results have broad applications in high-dimensional quantum state-based quantum information processing, including quantum key distribution and quantum sensing. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.09026 [quant-ph] (or arXiv:2603.09026v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.09026 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Physical Review A 113, 032417 (2026) Related DOI: https://doi.org/10.1103/7qcr-znl2 Focus to learn more DOI(s) linking to related resources Submission history From: Hyang-Tag Lim Dr. [view email] [v1] Mon, 9 Mar 2026 23:45:32 UTC (2,782 KB) Full-text links: Access Paper: View a PDF of the paper titled Experimental demonstration of optimal measurement for unambiguously discriminating asymmetric qudit states, by Kang-Min Hu and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-03 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?) Links to Code Toggle Papers with Code (What is Papers with Code?) 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?)