Demystifying Objectivity with Operator Algebra Quantum Error Correction
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Quantum Physics arXiv:2606.06588 (quant-ph) [Submitted on 4 Jun 2026] Title:Demystifying Objectivity with Operator Algebra Quantum Error Correction Authors:Marin Girard, Gong Cheng, ChunJun Cao View a PDF of the paper titled Demystifying Objectivity with Operator Algebra Quantum Error Correction, by Marin Girard and 2 other authors View PDF HTML (experimental) Abstract:Quantum Darwinism extends the decoherence formalism to explain how classicality and objectivity emerge from quantum mechanics. However, existing approaches often capture only partial aspects of objectivity, leading to its mischaracterization and making it difficult to pin down precisely. By connecting quantum Darwinism to operator algebra quantum error correction, we show that the emergence of objectivity can be identified with the algebraic local recoverability of quantum codes. Applying this algebraic framework to stabilizer codes, we show that it yields a far more precise characterization of classicality and redundancy, unifies the traditional measures of objectivity, enables efficient classification via coding-theoretic tools, and supports large-scale Clifford simulations of decoherence dynamics. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2606.06588 [quant-ph] (or arXiv:2606.06588v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.06588 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Marin Girard [view email] [v1] Thu, 4 Jun 2026 18:00:02 UTC (79 KB) Full-text links: Access Paper: View a PDF of the paper titled Demystifying Objectivity with Operator Algebra Quantum Error Correction, by Marin Girard and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 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?)