{
  "annotation_id": "007f9349-616f-4d4c-8675-98a553702a8b",
  "date_created": "2026-03-02T18:02:03.191000Z",
  "date_modified": "2026-03-02T18:02:03.191000Z",
  "file_hash": "081e2696c8618578402ac22b7e8e9525d5c0caa180e247bf3e797b1d1de19a12",
  "private": false,
  "record": {
    "abstract": "Mutual convertibility of bound entangled states under local quantum\noperations and classical communication (LOCC) is studied. We focus on states\nassociated with unextendible product bases (UPB) in a system of three qubits. A\ncomplete classification of such UPBs is suggested. We prove that for any pair\nof UPBs $S$ and $T$ the associated bound entangled states $\\rho_S$ and $\\rho_T$\ncan not be converted to each other by LOCC, unless $S$ and $T$ coincide up to\nlocal unitaries. More specifically, there exists a finite precision\n$\\epsilon\u003e0$ such that for any LOCC protocol mapping $\\rho_S$ into a\nprobabilistic ensemble $(p_j,\\rho_j)$, the fidelity between $\\rho_T$ and any\npossible final state $\\rho_j$ is smaller than $1-\\epsilon$.",
    "arxiv_id": "quant-ph/0310172",
    "authors": [
      "Sergey Bravyi"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Quantum Information Processing, Vol. 3(6) pp. 309-329 (2004)",
    "title": "Unextendible product bases and locally unconvertible bound entangled   states",
    "url": "https://arxiv.org/abs/quant-ph/0310172"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4a7e1e4d-01ef-42bd-83f2-5efeb6c62235",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}