{
  "annotation_id": "3dcf27b5-d9d1-4e0a-8723-ba17567c2c9b",
  "date_created": "2026-03-02T18:01:56.274000Z",
  "date_modified": "2026-03-02T18:01:56.274000Z",
  "file_hash": "7c2d8b79f84122a03a1f14bad5802d493c877b0049f6fca74a775c847c723c3a",
  "private": false,
  "record": {
    "abstract": "We employ a basic formalism from convex analysis to show a simple relation\nbetween the entanglement of formation $E_F$ and the conjugate function $E^*$ of\nthe entanglement function $E(\\rho)=S(\\trace_A\\rho)$. We then consider the\nconjectured strong superadditivity of the entanglement of formation $E_F(\\rho)\n\\ge E_F(\\rho_I)+E_F(\\rho_{II})$, where $\\rho_I$ and $\\rho_{II}$ are the\nreductions of $\\rho$ to the different Hilbert space copies, and prove that it\nis equivalent with subadditivity of $E^*$. As an application, we show that\nstrong superadditivity would follow from multiplicativity of the maximal\nchannel output purity for all non-trace-preserving quantum channels, when\npurity is measured by Schatten $p$-norms for $p$ tending to 1.",
    "arxiv_id": "quant-ph/0303045",
    "authors": [
      "Koenraad M. R. Audenaert",
      "Samuel L. Braunstein"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s00220-003-0987-1",
    "journal_ref": "Communications in Mathematical Physics (246) No 3, 443-452, (2004)",
    "title": "On Strong Superadditivity of the Entanglement of Formation",
    "url": "https://arxiv.org/abs/quant-ph/0303045"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bea4ee6c-df16-4996-89ee-7af78eb0e64b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}