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Quantifying magic via quantum $(\alpha,\beta)$ Jensen-Shannon divergence

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arXiv:2604.06604v1 Announce Type: new 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 qua

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Quantum Physics [Submitted on 8 Apr 2026] Quantifying magic via quantum (α,β) Jensen-Shannon divergence Linmao Wang, Zhaoqi Wu 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: 29 pages, 3 figures 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 Journal reference: Commun. Theor. Phys. 78 (2026) 055103 Related DOI: https://doi.org/10.1088/1572-9494/ae418d Focus to learn more Submission history From: Zhaoqi Wu [view email] [v1] Wed, 8 Apr 2026 02:38:22 UTC (845 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev | next > new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation 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 Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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