Emergent Quantum Dynamics as a Bayesian Inference Problem: A Critical Analysis
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Quantum Physics arXiv:2605.04112 (quant-ph) [Submitted on 5 May 2026] Title:Emergent Quantum Dynamics as a Bayesian Inference Problem: A Critical Analysis Authors:Thales B. S. F. Rodrigues, Lucas L. Brugger, Vinicius G. Valle, Bruno F. Rizzuti, Cristhiano Duarte View a PDF of the paper titled Emergent Quantum Dynamics as a Bayesian Inference Problem: A Critical Analysis, by Thales B. S. F. Rodrigues and 4 other authors View PDF HTML (experimental) Abstract:Coarse-grained descriptions can be used to account for physical processes in which information is lost or not entirely accessible. In this paper, we start by proposing a connection between effective, coarse-grained descriptions of quantum dynamics and the quantum conditional states formalism. In doing so, we address necessary and sufficient conditions for the existence of emergent dynamics from a subjective Bayesian point of view. Although our solution is (quasi-)optimal, the dynamics it determines are shown to be analytically limited -- it solves the problem in a state-by-state case. Due to this limitation, we then implement semidefinite programming techniques to investigate the existence of effective dynamics in four paradigmatic scenarios. The existence of such an effective dynamics motivates the introduction of a new robustness measure that quantifies how much noise can be added to a microscopic dynamics without compromising its compatibility with a given coarse-grained description. Finally, we also show how one can analytically determine a valid emergent description in several examples. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2605.04112 [quant-ph] (or arXiv:2605.04112v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.04112 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Bruno Rizzuti [view email] [v1] Tue, 5 May 2026 01:49:00 UTC (1,574 KB) Full-text links: Access Paper: View a PDF of the paper titled Emergent Quantum Dynamics as a Bayesian Inference Problem: A Critical Analysis, by Thales B. S. F. Rodrigues and 4 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?)