The Pareto Frontiers of Magic and Entanglement: The Case of Two Qubits
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Quantum Physics arXiv:2603.24902 (quant-ph) [Submitted on 26 Mar 2026] Title:The Pareto Frontiers of Magic and Entanglement: The Case of Two Qubits Authors:Alexander Roman, Marco Knipfer, Jogi Suda Neto, Konstantin T. Matchev, Katia Matcheva, Sergei Gleyzer View a PDF of the paper titled The Pareto Frontiers of Magic and Entanglement: The Case of Two Qubits, by Alexander Roman and 5 other authors View PDF Abstract:Magic and entanglement are two measures that are widely used to characterize quantum resources. We study the interplay between magic and entanglement in two-qubit systems, focusing on the two extremes: maximal magic and minimal magic for a given level of entanglement. We quantify magic by the Rényi entropy of order 2, $M_2$, and entanglement by the concurrence $\Delta$. We find that the Pareto frontier of maximal magic $M_2^{(max)}(\Delta)$ is composed of three separate segments, while the boundary of minimal magic $M_2^{(min)}(\Delta)$ is a single continuous line. We derive simple analytical formulas for all these four cases, and explicitly parametrize all distinct quantum states of maximal or minimal magic at a given level of entanglement. Comments: Subjects: Quantum Physics (quant-ph); Emerging Technologies (cs.ET); High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th) Cite as: arXiv:2603.24902 [quant-ph] (or arXiv:2603.24902v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.24902 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Konstantin Matchev [view email] [v1] Thu, 26 Mar 2026 00:32:43 UTC (939 KB) Full-text links: Access Paper: View a PDF of the paper titled The Pareto Frontiers of Magic and Entanglement: The Case of Two Qubits, by Alexander Roman and 5 other authorsView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-03 Change to browse by: cs cs.ET hep-lat hep-ph hep-th 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?)