Quantifying magic via quantum $(\alpha,\beta)$ Jensen-Shannon divergence
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Quantum Physics arXiv:2604.06604 (quant-ph) [Submitted on 8 Apr 2026] Title:Quantifying magic via quantum $(α,β)$ Jensen-Shannon divergence Authors:Linmao Wang, Zhaoqi Wu View a PDF of the paper titled Quantifying magic via quantum $(\alpha,\beta)$ Jensen-Shannon divergence, by Linmao Wang and 1 other authors View PDF HTML (experimental) Abstract:Magic states play an important role in fault-tolerant quantum computation, and so the quantification of magic for quantum states is of great significance. In this work, we propose two new magic quantifiers by introducing two versions of quantum $(\alpha,\beta)$ Jensen-Shannon divergence based on the quantum $(\alpha,\beta)$ entropy and the quantum $(\alpha,\beta)$-relative entropy, respectively. We derive many desirable properties for our magic quantifiers, and find that they are efficiently computable in low-dimensional Hilbert spaces. We also show that the initial nonstabilizerness in the input state can boost the magic generating power for our magic quantifiers with appropriate parameter ranges for a certain class of quantum gates. Our magic quantifiers may provide new tools for addressing some specific problems in magic resource theory. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.06604 [quant-ph] (or arXiv:2604.06604v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.06604 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Commun. Theor. Phys. 78 (2026) 055103 Related DOI: https://doi.org/10.1088/1572-9494/ae418d Focus to learn more DOI(s) linking to related resources Submission history From: Zhaoqi Wu [view email] [v1] Wed, 8 Apr 2026 02:38:22 UTC (845 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantifying magic via quantum $(\alpha,\beta)$ Jensen-Shannon divergence, by Linmao Wang and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 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?)