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    Stabilizer Rényi Entropy Encodes Fusion Rules of Topological Defects and Boundaries

    Masahiro Hoshino1,* and Yuto Ashida1,2

    • *Contact author: hoshino-masahiro921@g.ecc.u-tokyo.ac.jp

    Phys. Rev. Lett. 136, 080402 – Published 25 February, 2026

    DOI: https://doi.org/10.1103/1tyr-rlbb

    Abstract

    We demonstrate that the stabilizer Rényi entropy (SRE), a computable measure of quantum magic, can serve as an information-theoretic probe for universal properties associated with conformal defects in one-dimensional quantum critical systems. Using boundary conformal field theory, we show that open boundaries manifest as a universal logarithmic correction to the SRE, whereas topological defects yield a universal size-independent term. When multiple defects are present, we find that the universal terms in the SRE faithfully reflect the defect-fusion rules that define a noninvertible symmtery algebra. These analytical predictions are corroborated by numerical calculations of the Ising model, where boundaries and topological defects are described by Cardy states and Verlinde lines, respectively.

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