{
  "annotation_id": "8eb842aa-3338-46f6-b8eb-6199641ce239",
  "date_created": "2026-03-02T18:02:17.037000Z",
  "date_modified": "2026-03-02T18:02:17.037000Z",
  "file_hash": "752f4bd8becac88a6044bf46a843988be1d2025c3d5c628e67a919780b6f051c",
  "private": false,
  "record": {
    "abstract": "A useful kind of continuity of quantum states functions in asymptotic regime\nis so-called asymptotic continuity. In this paper we provide general tools for\nchecking if a function possesses this property. First we prove equivalence of\nasymptotic continuity with so-called it robustness under admixture. This allows\nus to show that relative entropy distance from a convex set including maximally\nmixed state is asymptotically continuous. Subsequently, we consider it arrowing\n- a way of building a new function out of a given one. The procedure originates\nfrom constructions of intrinsic information and entanglement of formation. We\nshow that arrowing preserves asymptotic continuity for a class of functions\n(so-called subextensive ones). The result is illustrated by means of several\nexamples.",
    "arxiv_id": "quant-ph/0507126",
    "authors": [
      "Barbara Synak-Radtke",
      "Michal Horodecki"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/26/L02",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006) L423-L437",
    "title": "On asymptotic continuity of functions of quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0507126"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e39c80e4-914a-464d-9612-83bdad3f62a5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}