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Efficient discrimination schemes for unextendible product bases with strong quantum nonlocality

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers Qiqi Feng, Huaqi Zhou, and Limin Gao introduced three novel entanglement-allocation schemes to locally discriminate unextendible product bases (UPBs) with strong quantum nonlocality in a 3×3×3 quantum system. Their protocols exploit structural properties of UPBs and maximally entangled states, enabling perfect discrimination using just two such states—a significant reduction in resource consumption compared to prior methods. The team extended these schemes to general d×d×d systems, demonstrating scalability while maintaining efficiency, which could streamline quantum information processing tasks requiring entanglement. A resource-cost analysis revealed their protocols minimize entanglement use by avoiding quantum teleportation, offering practical advantages for real-world quantum networks and communication systems. The findings deepen understanding of maximally entangled states’ operational roles, paving the way for more efficient quantum technologies in computation and cryptography.
Efficient discrimination schemes for unextendible product bases with strong quantum nonlocality

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Quantum Physics arXiv:2602.13545 (quant-ph) [Submitted on 14 Feb 2026] Title:Efficient discrimination schemes for unextendible product bases with strong quantum nonlocality Authors:Qiqi Feng, Huaqi Zhou, Limin Gao View a PDF of the paper titled Efficient discrimination schemes for unextendible product bases with strong quantum nonlocality, by Qiqi Feng and 1 other authors View PDF HTML (experimental) Abstract:Entanglement is a central resource in quantum information science; therefore, it is important to design local discrimination protocols that minimize resource consumption. In this paper, we propose three entanglement-allocation schemes for the local discrimination of particular unextendible product bases (UPB) exhibiting strong quantum nonlocality in a \(3 \otimes 3 \otimes 3\) system. By exploiting the structural features of these UPB and the operational advantages of maximally entangled states, we further extend our protocols to strongly nonlocal UPB in \(d \otimes d \otimes d\) systems. In particular, we show that these UPB can be perfectly distinguished with only two maximally entangled states. Moreover, a resource-cost analysis indicates that our protocols, which avoid quantum teleportation whenever possible, can reduce the entanglement consumption. These results not only facilitate resource-efficient quantum information processing, but also provide further insight into the operational role of maximally entangled states. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2602.13545 [quant-ph] (or arXiv:2602.13545v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.13545 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Limin Gao Ph.D. [view email] [v1] Sat, 14 Feb 2026 01:29:53 UTC (239 KB) Full-text links: Access Paper: View a PDF of the paper titled Efficient discrimination schemes for unextendible product bases with strong quantum nonlocality, by Qiqi Feng and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-02 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