{
  "annotation_id": "0dee0d6c-513b-4cca-a55c-ce9aa81ed778",
  "date_created": "2026-02-17T05:53:24.217000Z",
  "date_modified": "2026-02-17T05:53:24.217000Z",
  "file_hash": "fd8c1f1dc732cdb055cef502dad7d227d102f1d89489e82c6a060b894b1af110",
  "private": false,
  "record": {
    "abstract": "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.",
    "arxiv_id": "2601.09909",
    "authors": [
      "Yoshiko Ogata"
    ],
    "categories": [
      "math-ph",
      "cond-mat.stat-mech",
      "cond-mat.str-el",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "A note on invariants of mixed-state topological order in 2D",
    "url": "https://arxiv.org/abs/2601.09909",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e5e42f64-8dae-4d54-82cb-3984699c89e1",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}