Nonclassicality of Mixed States with Photon Number Coherence

Quantum Physics arXiv:2512.19953 (quant-ph) [Submitted on 23 Dec 2025] Title:Nonclassicality of Mixed States with Photon Number Coherence Authors:Spencer Rogers, Salman Shahid, Wenchao Ge View a PDF of the paper titled Nonclassicality of Mixed States with Photon Number Coherence, by Spencer Rogers and 2 other authors View PDF Abstract:The operational resource theory (ORT) measure is a nonclassicality measure for bosonic states, notable for its resource-theoretic properties and connection to metrology. However, it can be difficult to evaluate, being linked to an optimization problem for mixed states. Here, we present the first ORT measure calculations for mixed states with photon number coherence. We give exact formulas governing the ORT measure of a broad class of rank-two mixed states, and numerical solutions for some higher-rank states. We also compare the nonclassicality of these states to their metrological power, thus showing in what regimes the metrological power manages to saturate the ORT bound. Throughout, we consider the role of coherence. In particular, we show that nonclassicality and metrological power never increase under bosonic dephasing, but may plateau in a manner similar to entanglement sudden death. Nevertheless, lowering photon number coherence more freely can sometimes yield more nonclassical and metrologically useful states. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2512.19953 [quant-ph] (or arXiv:2512.19953v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.19953 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Spencer Rogers [view email] [v1] Tue, 23 Dec 2025 00:57:42 UTC (844 KB) Full-text links: Access Paper: View a PDF of the paper titled Nonclassicality of Mixed States with Photon Number Coherence, by Spencer Rogers and 2 other authorsView PDFTeX Source view license Current browse context: quant-ph new | recent | 2025-12 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?)