{
  "annotation_id": "ffd1a961-120d-41e4-a0ef-31263ee3b673",
  "date_created": "2026-02-17T05:53:24.105000Z",
  "date_modified": "2026-02-17T05:53:24.105000Z",
  "file_hash": "ccc1e498802f041ff2dcec16ff7b5412aa950f39c44b1bb053bb41ec7bf56a4c",
  "private": false,
  "record": {
    "abstract": "The subadditivity-doubling-rotation (SDR) technique is a powerful route to Gaussian optimality in classical information theory and relies on strict subadditivity and its equality-case analysis, where double Markovity is a standard tool. We establish quantum analogues of double Markovity. For tripartite states, we characterize the simultaneous Markov conditions A-B-C and A-C-B via compatible projective measurements on B and C that induce a common classical label J yielding A-J-(BC). For strictly positive four-party states, we show that A-(BD)-C and A-(CD)-B hold if and only if A-D-(BC) holds. These results remove a key bottleneck in extending SDR-type arguments to quantum systems.",
    "arxiv_id": "2601.09995",
    "authors": [
      "Masahito Hayashi",
      "Jinpei Zhao"
    ],
    "categories": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Double Markovity for quantum systems",
    "url": "https://arxiv.org/abs/2601.09995",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a27d7d26-11ee-4138-b29b-0214db9c295d",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}