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Trading athermality for nonstabiliserness

A. de Oliveira Junior, Rafael A. Macedo, Jakub Czartowski, Jonatan Bohr Brask, Rafael Chaves
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⚡ Quantum Brief
Researchers have derived a precise thermodynamic framework showing how nonstabiliserness—a key quantum advantage resource—can emerge from classical stabiliser states when coupled to a heat bath, challenging assumptions about thermal equilibrium constraints. The study establishes the first necessary and sufficient condition for generating nonstabiliserness via thermal processes, providing a rigorous boundary between classically simulable and quantum-advantageous states under minimal thermodynamic assumptions. Analytic characterizations identify which nonstabiliser states are achievable through thermal coupling, alongside quantitative bounds on their nonstabiliserness, enabling predictable control over resource generation in quantum systems. Optimal regimes are pinpointed, including specific Hamiltonians that maximize nonstabiliserness creation and critical temperature thresholds where the phenomenon first appears, offering practical guidance for experimental implementations. This work bridges quantum resource theory and thermodynamics, suggesting athermal processes can be traded for nonstabiliserness, with implications for near-term quantum devices operating under thermal noise.
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Quantum Physics arXiv:2511.13839 (quant-ph) [Submitted on 17 Nov 2025] Title:Trading athermality for nonstabiliserness Authors:A. de Oliveira Junior, Rafael A. Macedo, Jakub Czartowski, Jonatan Bohr Brask, Rafael Chaves View a PDF of the paper titled Trading athermality for nonstabiliserness, by A. de Oliveira Junior and 3 other authors View PDF HTML (experimental) Abstract:Nonstabiliserness is a fundamental resource for quantum advantage, capturing how much a quantum state breaks the symmetries that would make it classically simulable. Can nonstabiliserness be generated from stabiliser states simply by coupling them to a heat bath? We explore the thermodynamic limits of nonstabiliserness under minimal assumptions and derive a necessary and sufficient condition for when such a process can create it from an initial stabiliser state. This provides an analytic characterisation of the nonstabiliser states that are reachable in this way, together with quantitative bounds on their degree of nonstabiliserness. Our framework also identifies optimal regimes, specifying Hamiltonians that maximise nonstabiliserness generation and the critical temperatures at which it emerges. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.13839 [quant-ph] (or arXiv:2511.13839v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.13839 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Alexssandre De Oliveira Junior [view email] [v1] Mon, 17 Nov 2025 19:01:00 UTC (2,492 KB) Full-text links: Access Paper: View a PDF of the paper titled Trading athermality for nonstabiliserness, by A. de Oliveira Junior and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 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?) Links to Code Toggle Papers with Code (What is Papers with Code?) 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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