{
  "annotation_id": "78fee363-02a7-4980-a8da-50db74050027",
  "date_created": "2026-03-02T18:02:34.318000Z",
  "date_modified": "2026-03-02T18:02:34.318000Z",
  "file_hash": "1867fa117d39653b6e65d84745ac12784a51d9e7b4674634b0c2e1bc0e4ca85b",
  "private": false,
  "record": {
    "abstract": "We find an interesting relationship between multipartite bound entangled\nstates and the stabilizer formalism. We prove that if a set of commuting\noperators from the generalized Pauli group on $n$ qudits satisfy certain\nconstraints, then the maximally mixed state over the subspace stabilized by\nthem is an unlockable bound entangled state. Moreover, the properties of this\nstate, such as symmetry under permutations of parties, undistillability and\nunlockability, can be easily explained from the stabilizer formalism without\ntedious calculation. In particular, the four-qubit Smolin state and its recent\ngeneralization to even number of qubits can be viewed as special examples of\nour results. Finally, we extend our results to arbitrary multipartite systems\nin which the dimensions of all parties may be different.",
    "arxiv_id": "quant-ph/0703033",
    "authors": [
      "Guoming Wang",
      "Mingsheng Ying"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.052332",
    "journal_ref": "Physical Review A 75, 052332 (2007)",
    "title": "Multipartite unlockable bound entanglement in the stabilizer formalism",
    "url": "https://arxiv.org/abs/quant-ph/0703033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c7b5d28a-ac8b-46be-8937-e5f236902f49",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}