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Permutation-symmetric quantum trajectories

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers from MIT and the University of St Andrews introduced a stochastic unraveling method that exploits weak permutation symmetry in quantum systems, drastically reducing computational costs for modeling N emitters coupled to shared systems like cavity modes. For two-level quantum emitters, the technique cuts computational scaling from O(N⁵) to O(N²)—and with optimizations, to O(N)—enabling exact quantum dynamics simulations for significantly larger systems than previously possible. The method extends to d-level systems with O(N^(d(d-1)/2)) scaling, demonstrating practical large-N simulations for three-level emitters (d=3), a breakthrough for complex quantum modeling. Applications span quantum optics, mesoscale physics, and quantum gases, where simulating collective emitter behavior was previously limited by exponential computational demands. Published in May 2026, the work offers a framework to bridge the gap between theoretical quantum models and real-world scalable simulations, accelerating progress in quantum technologies.
Permutation-symmetric quantum trajectories

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Quantum Physics arXiv:2605.11103 (quant-ph) [Submitted on 11 May 2026] Title:Permutation-symmetric quantum trajectories Authors:Elliot W. Lloyd, Aleksandra A. Ziolkowska, Jonathan Keeling View a PDF of the paper titled Permutation-symmetric quantum trajectories, by Elliot W. Lloyd and 1 other authors View PDF HTML (experimental) Abstract:We show how one may perform a stochastic unraveling which respects weak permutation symmetry for models of $N$ emitters coupled to a common system (e.g. a cavity mode). For problems involving 2-level emitters, such an unravelling reduces the computational cost from $\mathcal{O}(N^5)$ to $\mathcal{O}(N^2)$, and with additional refinements, allows reduction to $\mathcal{O}(N)$. This significantly increases the range of system sizes for which one can model exact quantum dynamics of such systems. We further show how the method can also be applied to d-level systems, with computational effort scaling as $\mathcal{O}(N^{d(d-1)/2})$, and we show it allows large-N simulations for d=3. Subjects: Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Quantum Gases (cond-mat.quant-gas) Cite as: arXiv:2605.11103 [quant-ph] (or arXiv:2605.11103v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.11103 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Jonathan Keeling [view email] [v1] Mon, 11 May 2026 18:08:08 UTC (161 KB) Full-text links: Access Paper: View a PDF of the paper titled Permutation-symmetric quantum trajectories, by Elliot W. Lloyd and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 Change to browse by: cond-mat cond-mat.mes-hall cond-mat.quant-gas 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