A note on invariants of mixed-state topological order in 2D
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911376949116928 |
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| author | Ogata, Yoshiko |
| author_facet | Ogata, Yoshiko |
| contents | The classification of mixed-state topological order requires indices that behave monotonically under finite-depth quantum channels. In two dimensions, a braided $C^*$-tensor category, which corresponds to strong symmetry, arises from a state satisfying approximate Haag duality. In this note, we show that the $S$-matrix and topological twists of the braided $C^*$-tensor category are quantities that are monotone under finite-depth quantum channels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09909 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on invariants of mixed-state topological order in 2D Ogata, Yoshiko Mathematical Physics Statistical Mechanics Strongly Correlated Electrons Quantum Physics The classification of mixed-state topological order requires indices that behave monotonically under finite-depth quantum channels. In two dimensions, a braided $C^*$-tensor category, which corresponds to strong symmetry, arises from a state satisfying approximate Haag duality. In this note, we show that the $S$-matrix and topological twists of the braided $C^*$-tensor category are quantities that are monotone under finite-depth quantum channels. |
| title | A note on invariants of mixed-state topological order in 2D |
| topic | Mathematical Physics Statistical Mechanics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2601.09909 |