Quantum Steering and Entanglement in a Tritter: Hierarchy under Loss
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Quantum Physics arXiv:2602.07788 (quant-ph) [Submitted on 8 Feb 2026] Title:Quantum Steering and Entanglement in a Tritter: Hierarchy under Loss Authors:Jifeng Sun, Shumin Yang, Teng Zhao, Qingqian Kang, Liyun Hu View a PDF of the paper titled Quantum Steering and Entanglement in a Tritter: Hierarchy under Loss, by Jifeng Sun and 4 other authors View PDF HTML (experimental) Abstract:Multipartite entangled states of continuous variables are fundamental resources for scalable quantum information processing. We study the correlation hierarchy in a tripartite state engineered by mixing a two-mode squeezed vacuum with a coherent state on a tritter, a key linear optical element for multimode state generation. Using the covariance matrix formalism, we comprehensively analyze the entanglement and Einstein-Podolsky-Rosen (EPR) steering among the output modes. The strength of both correlations is governed solely by the squeezing parameter and is independent of the coherent amplitude. We further examine the impact of inevitable optical losses in various channel configurations. The results show that while losses degrade correlations, EPR steering remains monogamous and exhibits stricter resilience thresholds than entanglement. Our analysis, supported by parameter extension techniques, confirms that the steering condition is more stringent than the inseparability criterion, clearly demonstrating that steering forms a strict subset of entanglement. These results elucidate the correlation structure in a readily generated multimode state and offer practical insights for developing asymmetric quantum protocols, such as one-sided device-independent tasks, where EPR steering serves as a critical resource. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2602.07788 [quant-ph] (or arXiv:2602.07788v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.07788 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Liyun Hu [view email] [v1] Sun, 8 Feb 2026 03:03:16 UTC (507 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum Steering and Entanglement in a Tritter: Hierarchy under Loss, by Jifeng Sun and 4 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?)