Quantum Darwinism and the quality of Petz recovery
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Quantum Physics arXiv:2605.06848 (quant-ph) [Submitted on 7 May 2026] Title:Quantum Darwinism and the quality of Petz recovery Authors:Juha Torvinen, Esko Keski-Vakkuri, Nicola Pranzini View a PDF of the paper titled Quantum Darwinism and the quality of Petz recovery, by Juha Torvinen and 2 other authors View PDF HTML (experimental) Abstract:According to Quantum Darwinism, system-environment interactions both einselect particular system properties and encode them redundantly in many independent subsets of the environment, called fragments. This redundancy implies that an observer can recover the einselected information by accessing just one such fragment. However, the protocol by which such reconstruction should occur is often left unspecified. Considering a system $\Gamma$ interacting with a multipartite environment $\Xi$, we investigate whether, and under what conditions, the einselected state of $\Gamma$ can be recovered from environmental fragments using the Petz recovery map. We show that the fidelity between the system's initial state and the state reconstructed via Petz recovery develops a plateau as a function of the fragment size. Our results are supported by both analytical arguments and numerical simulations of large but tractable models. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2605.06848 [quant-ph] (or arXiv:2605.06848v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.06848 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Nicola Pranzini [view email] [v1] Thu, 7 May 2026 18:49:51 UTC (1,193 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum Darwinism and the quality of Petz recovery, by Juha Torvinen and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 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?) 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?)