Observer-Dependent Entropy and Diagonal R\'enyi Invariants in Quantum Reference Frames
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Quantum Physics arXiv:2603.23598 (quant-ph) [Submitted on 24 Mar 2026] Title:Observer-Dependent Entropy and Diagonal Rényi Invariants in Quantum Reference Frames Authors:Anne-Catherine de la Hamette View a PDF of the paper titled Observer-Dependent Entropy and Diagonal R\'enyi Invariants in Quantum Reference Frames, by Anne-Catherine de la Hamette View PDF HTML (experimental) Abstract:Quantum reference frames provide a relational description of multipartite quantum systems in which physical states and observables are defined relative to quantum observers. Yet different observers can assign different entropies to the same system, raising the question of how such observer-dependence is constrained. We identify a family of frame-independent diagonal Rényi entropies for arbitrary subsystems, yielding a generalized multipartite coherence-entanglement tradeoff. For ideal frames, the observer-dependence of subsystem entropy admits an exact decomposition into a sum of single-frame coherences and inter-frame correlations; for non-ideal frames, it is instead bounded by the dimension of an effective relational Hilbert space determined by the representation structure of the frames. Our results place quantitative limits on how much quantum observers can disagree about subsystem entropy, with potential implications for observer-dependent entropy assignments in gravitational settings. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.23598 [quant-ph] (or arXiv:2603.23598v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.23598 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Anne-Catherine De La Hamette [view email] [v1] Tue, 24 Mar 2026 18:00:01 UTC (482 KB) Full-text links: Access Paper: View a PDF of the paper titled Observer-Dependent Entropy and Diagonal R\'enyi Invariants in Quantum Reference Frames, by Anne-Catherine de la HametteView 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?)