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Entanglement-Assisted Discrimination of Nonlocal Sets of Orthogonal States

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers Ziying Hou, Huaqi Zhou, and Limin Gao developed new protocols for discriminating nonlocal orthogonal quantum states using entanglement assistance, advancing quantum information theory’s frontier. Their work introduces resource-efficient LOCC (local operations and classical communication) methods for multipartite orthogonal states, including product and entangled sets, leveraging CNOT gates to reduce entanglement costs. A key breakthrough is discriminating four- and five-qubit GHZ bases using just a single EPR pair, significantly lowering resource demands compared to prior approaches. The study finds non-teleportation protocols consume less entanglement on average than teleportation-based methods, optimizing practical implementations for quantum networks. Higher-partite GHZ-type resources (n>3) further cut entanglement costs when strategically deployed, underscoring multipartite entanglement’s operational value in state discrimination tasks.
Entanglement-Assisted Discrimination of Nonlocal Sets of Orthogonal States

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Quantum Physics arXiv:2603.12535 (quant-ph) [Submitted on 13 Mar 2026] Title:Entanglement-Assisted Discrimination of Nonlocal Sets of Orthogonal States Authors:Ziying Hou, Huaqi Zhou, Limin Gao View a PDF of the paper titled Entanglement-Assisted Discrimination of Nonlocal Sets of Orthogonal States, by Ziying Hou and 1 other authors View PDF HTML (experimental) Abstract:Entanglement-assisted discrimination of orthogonal quantum states exhibiting quantum nonlocality is a frontier topic in quantum information theory. In this paper, we investigate the role of multipartite entanglement and develop resource-efficient LOCC discrimination protocols for nonlocal sets of orthogonal states, including multipartite orthogonal product-state sets and entangled-state sets with different nonlocal features. By incorporating controlled-NOT (CNOT) operations into the discrimination procedure, we construct protocols for genuinely nonlocal GHZ bases in four- and five-qubit systems that require only a single EPR pair. For the same target sets, we compare different entanglement-assisted schemes and identify those with lower entanglement consumption. We further observe that, on average, protocols avoiding teleportation consume fewer resources than teleportation-based approaches. In addition, when higher-partite GHZ-type resources (with $n>3$) are available among suitable subsystems, they can in some cases reduce the overall entanglement cost. Our results highlight the operational significance of multipartite entanglement and provide practical protocols for the local discrimination of orthogonal state sets exhibiting quantum nonlocality. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.12535 [quant-ph] (or arXiv:2603.12535v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.12535 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Limin Gao Ph.D. [view email] [v1] Fri, 13 Mar 2026 00:27:08 UTC (416 KB) Full-text links: Access Paper: View a PDF of the paper titled Entanglement-Assisted Discrimination of Nonlocal Sets of Orthogonal States, by Ziying Hou and 1 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?)

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Source: arXiv Quantum Physics