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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2507.02292 |
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| _version_ | 1866915410135220224 |
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| author | Sang, Shengqi Lessa, Leonardo A. Mong, Roger S. K. Grover, Tarun Wang, Chong Hsieh, Timothy H. |
| author_facet | Sang, Shengqi Lessa, Leonardo A. Mong, Roger S. K. Grover, Tarun Wang, Chong Hsieh, Timothy H. |
| contents | We propose a refined definition of mixed-state phase equivalence based on locally reversible channel circuits. We show that such circuits preserve topological degeneracy and the locality of all operators including both strong and weak symmetries. Under a locally reversible channel, weak unitary symmetries are locally dressed into channel symmetries, a new generalization of symmetry for open quantum systems. For abelian higher-form symmetries, we show the refined definition preserves anomalies and spontaneous breaking of such symmetries within a phase. As a primary example, a two-dimensional classical loop ensemble is trivial under the previously adopted definition of mixed-state phases. However, it has non-trivial topological degeneracy arising from a mutual anomaly between strong and weak 1-form symmetries, and our results show that it is not connected to a trivial state via locally reversible channel circuits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02292 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mixed-state phases from local reversibility Sang, Shengqi Lessa, Leonardo A. Mong, Roger S. K. Grover, Tarun Wang, Chong Hsieh, Timothy H. Quantum Physics Statistical Mechanics We propose a refined definition of mixed-state phase equivalence based on locally reversible channel circuits. We show that such circuits preserve topological degeneracy and the locality of all operators including both strong and weak symmetries. Under a locally reversible channel, weak unitary symmetries are locally dressed into channel symmetries, a new generalization of symmetry for open quantum systems. For abelian higher-form symmetries, we show the refined definition preserves anomalies and spontaneous breaking of such symmetries within a phase. As a primary example, a two-dimensional classical loop ensemble is trivial under the previously adopted definition of mixed-state phases. However, it has non-trivial topological degeneracy arising from a mutual anomaly between strong and weak 1-form symmetries, and our results show that it is not connected to a trivial state via locally reversible channel circuits. |
| title | Mixed-state phases from local reversibility |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2507.02292 |