{
  "id": "2205.02813",
  "version": "v1",
  "published": "2022-05-05T17:46:05.000Z",
  "updated": "2022-05-05T17:46:05.000Z",
  "title": "On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources",
  "authors": [
    "Mario Berta",
    "Fernando G. S. L. Brandão",
    "Gilad Gour",
    "Ludovico Lami",
    "Martin B. Plenio",
    "Bartosz Regula",
    "Marco Tomamichel"
  ],
  "comment": "22 pages",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that the proof of the generalised quantum Stein's lemma [Brand\\~ao & Plenio, Commun. Math. Phys. 295, 791 (2010)] is not correct due to a gap in the argument leading to Lemma III.9. Hence, the main achievability result of Brand\\~ao & Plenio is not known to hold. This puts into question a number of established results in the literature, in particular the reversibility of quantum entanglement [Brand\\~ao & Plenio, Commun. Math. Phys. 295, 829 (2010); Nat. Phys. 4, 873 (2008)] and of general quantum resources [Brand\\~ao & Gour, Phys. Rev. Lett. 115, 070503 (2015)] under asymptotically resource non-generating operations. We discuss potential ways to recover variants of the newly unsettled results using other approaches.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-05T17:46:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalised quantum steins lemma",
      "reversibility",
      "consequences",
      "general quantum resources",
      "main achievability result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}