{
  "abstract": "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 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 nontrivial 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.",
  "abstract_shown": true,
  "affiliations": [
    "Perimeter Institute for Theoretical Physics",
    "Stanford University",
    "University of Waterloo",
    "University of Pittsburgh",
    "University of California at San Diego"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 6,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Shengqi Sang",
      "orcid": "0000-0002-5815-4075"
    },
    {
      "affs": [
        0,
        2
      ],
      "name": "Leonardo A. Lessa",
      "orcid": "0000-0001-6063-8960"
    },
    {
      "affs": [
        3
      ],
      "name": "Roger S. K. Mong",
      "orcid": "0009-0000-7182-5681"
    },
    {
      "affs": [
        4
      ],
      "name": "Tarun Grover",
      "orcid": "0009-0009-5731-4629"
    },
    {
      "affs": [
        0
      ],
      "name": "Chong Wang",
      "orcid": "0000-0001-6016-6545"
    },
    {
      "affs": [
        0
      ],
      "name": "Timothy H. Hsieh",
      "orcid": "0000-0001-8627-0965"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/78z14ckhh5k4q.bib",
  "cited_by": 54,
  "doi": "10.1103/1kr5-jlcb",
  "fulltext_url": null,
  "id": "78z14ckhh5k4q",
  "issns": [
    "2160-3308"
  ],
  "landing_url": "https://doi.org/10.1103/1kr5-jlcb",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W4417266641",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-19",
  "publisher": "American Physical Society",
  "ris": "https://research.draconitic.com/paper/78z14ckhh5k4q.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:44Z",
      "native_id": "W4417266641",
      "source": "openalex",
      "url": "https://doi.org/10.1103/1kr5-jlcb"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3107|Quantum many-body systems",
      "subfield": "amo"
    }
  ],
  "title": "Mixed-State Phases from Local Reversibility",
  "title_text": "Mixed-State Phases from Local Reversibility",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:21:01Z",
  "url": "https://research.draconitic.com/paper/78z14ckhh5k4q",
  "venue": "Physical Review X",
  "versions": []
}