Stabilizer Rényi Entropy Encodes Fusion Rules of Topological Defects and Boundaries
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.
Fields of Study & Subjects
Neural Networks and Applications
Solidification and crystal growth phenomena
Model Reduction and Neural Networks
Publication details
- Journal / source
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Volume
- 136
- Issue
- 8
- Pages
- 080402–080402
- Publication date
- 5 February 2026
- Language
- EN