{
  "annotation_id": "a2c27e4e-903a-4a9d-b144-02cdcc6772fd",
  "date_created": "2026-03-02T18:02:40.641000Z",
  "date_modified": "2026-03-02T18:02:40.641000Z",
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  "record": {
    "abstract": "We consider the problem of compression of the quantum information carried by\nensemble of mixed states. We prove that for arbitrary coding schemes the least\nnumber of qubits needed to convey the signal states asymptotically faithfully\nis bounded from below by the Holevo function\n$S(\\varrho)-\\sum_ip_iS(\\varrho_i)$. We also show that a compression protocol\ncan be composed with another one, provided that the latter offers perfect\ntransmission. Such a compound protocol is applied to the case of binary source.\nIt is conjectured to reach the obtained bound. Finally, we point out that in\nthe case of mixed signal states there could be a difference between the maximal\ncompression rates at the coding schemes which are ``blind\u0027\u0027 to the signal and\nthe ones which assume the knowledge about the identities of the signal states.",
    "arxiv_id": "quant-ph/9712035",
    "authors": [
      "Michal Horodecki"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.57.3364",
    "journal_ref": "Phys.Rev. A57 (1998) 3364-3369",
    "title": "Limits for compression of quantum information carried by ensembles of   mixed states",
    "url": "https://arxiv.org/abs/quant-ph/9712035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f47e0c42-baef-47d2-ac5a-3c2f4e4c452b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}