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Light-Cone Structure of Propagation of Entanglement

arXiv Quantum Physics
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⚡ Quantum Brief
Mathematician Israel Michael Sigal demonstrates that entanglement propagation in bipartite quantum systems follows a light-cone structure, establishing a fundamental speed limit for quantum information transfer under ideal conditions. The research proves that localized couplings in graph-structured quantum networks create an effective light-cone, setting a strict lower bound on the time required to transmit or sustain entanglement between distant nodes. This theoretical framework applies to lossless, decoherence-free systems, providing critical constraints for quantum communication protocols and network design in future quantum technologies. The findings bridge quantum physics and mathematical analysis, utilizing functional analysis to model entanglement dynamics in spatially separated quantum systems. Published in April 2026, the work offers foundational insights for optimizing quantum network architectures and understanding fundamental limits of entanglement distribution.
Light-Cone Structure of Propagation of Entanglement

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Quantum Physics arXiv:2604.27170 (quant-ph) [Submitted on 29 Apr 2026] Title:Light-Cone Structure of Propagation of Entanglement Authors:Israel Michael Sigal View a PDF of the paper titled Light-Cone Structure of Propagation of Entanglement, by Israel Michael Sigal View PDF HTML (experimental) Abstract:For a wide class of bipartite systems with localized couplings, we establish existence of an effective light-cone for propagation of entanglement. This result yields a hard lower bound on the time it takes, under ideal conditions (no loss, no decoherence), to transport entanglement to a distant location (say, a node of a graph-structured quantum network), or to maintain it there. Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph); Functional Analysis (math.FA) MSC classes: 35Q40, 35Q94, 81P45, 46N50 Cite as: arXiv:2604.27170 [quant-ph] (or arXiv:2604.27170v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.27170 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Israel Michael Sigal [view email] [v1] Wed, 29 Apr 2026 20:19:04 UTC (34 KB) Full-text links: Access Paper: View a PDF of the paper titled Light-Cone Structure of Propagation of Entanglement, by Israel Michael SigalView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 Change to browse by: math math-ph math.FA math.MP 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?)

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Source: arXiv Quantum Physics