Stabilizer Rényi Entropy Encodes Fusion Rules of Topological Defects and Boundaries
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911561157705728 |
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| author | Hoshino, Masahiro Ashida, Yuto |
| author_facet | Hoshino, Masahiro Ashida, Yuto |
| contents | 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 symmetry 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_10656 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stabilizer Rényi Entropy Encodes Fusion Rules of Topological Defects and Boundaries Hoshino, Masahiro Ashida, Yuto Quantum Physics Statistical Mechanics Strongly Correlated Electrons 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 symmetry 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. |
| title | Stabilizer Rényi Entropy Encodes Fusion Rules of Topological Defects and Boundaries |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2507.10656 |