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Operational Characterization of Coherent Measurements with Steering and Randomness

Chellasamy Jebarathinam, Huan-Yu Ku, Hsi-Sheng Goan
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⚡ Quantum Brief
Researchers Chellasamy Jebarathinam, Huan-Yu Ku, and Hsi-Sheng Goan prove coherent measurements are essential for semi-device-independent (SDI) quantum steering, establishing a direct link between measurement coherence and steerable correlations. The study reveals a one-to-one mapping between SDI steerable correlations and measurement sets, showing coherence is both necessary and sufficient for SDI steering—mirroring the relationship between standard steering and measurement incompatibility. A nonconvex resource theory for SDI steering is introduced, with a quantifiable monotone derived for two-setting scenarios using the established mapping, advancing theoretical frameworks for quantum resource characterization. The team applies this monotone to quantify local randomness in two-qubit states without requiring entanglement certification, offering a simpler pathway to assess quantum randomness in practical systems. Published in November 2025, the work bridges operational quantum measurements with foundational steering principles, potentially impacting quantum communication protocols and device-independent cryptography.
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Quantum Physics arXiv:2511.09102 (quant-ph) [Submitted on 12 Nov 2025] Title:Operational Characterization of Coherent Measurements with Steering and Randomness Authors:Chellasamy Jebarathinam, Huan-Yu Ku, Hsi-Sheng Goan View a PDF of the paper titled Operational Characterization of Coherent Measurements with Steering and Randomness, by Chellasamy Jebarathinam and 2 other authors View PDF HTML (experimental) Abstract:Here, we demonstrate that a set of coherent measurements leverages semi-device-independent (SDI) steering and local randomness generation. To this end, we show that coherent measurements are a necessary resource for demonstrating SDI steering. Conversely, through one-to-one mapping of an SDI steerable correlation to a set of measurements, the coherence of the measurements, in turn, is a necessary and sufficient criterion for SDI steering. This result aligns with the relationship between the standard steering scenario and the measurement incompatibility. Then a nonconvex resource theory for SDI steering is formulated and a nonconvex monotone of the resource is obtained in the two-setting scenario using the above-mentioned one-to-one mapping. Finally, we apply this monotone to the quantification of local randomness from two-qubit states without requiring entanglement to be certified. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.09102 [quant-ph] (or arXiv:2511.09102v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.09102 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Jebarathinam Chellasamy Dr [view email] [v1] Wed, 12 Nov 2025 08:21:52 UTC (76 KB) Full-text links: Access Paper: View a PDF of the paper titled Operational Characterization of Coherent Measurements with Steering and Randomness, by Chellasamy Jebarathinam and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 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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