{
  "annotation_id": "e4563d45-e4e9-4270-9114-981611b208fa",
  "date_created": "2026-03-02T18:02:45.028000Z",
  "date_modified": "2026-03-02T18:02:45.028000Z",
  "file_hash": "f55d005bc5784bed26f44afbb6293fa414af8c03d3e8b14194c3959e8892310a",
  "private": false,
  "record": {
    "abstract": "Entanglement between three or more parties exhibits a realm of properties\nunknown to two-party states. Bipartite states are easily classified using the\nSchmidt decomposition. The Schmidt coefficients of a bipartite pure state\nencompass all the non-local properties of the state and can be \"seen\" by\nlooking at one party\u0027s density matrix only.\n  Pure states of three and more parties however lack such a simple form. They\nhave more invariants under local unitary transformations than any one party can\n\"see\" on their sub-system. These \"hidden non-localities\" will allow us to\nexhibit a class of multipartite states that cannot be distinguished from each\nother by any party. Generalizing a result of BPRST and using a recent result by\nNielsen we will show that these states cannot be transformed into each other by\nlocal actions and classical communication. Furthermore we will use an\northogonal subset of such states to hint at applications to cryptography and\nillustrate an extension to quantum secret sharing (using recently suggested\n((n,k))-threshold schemes).",
    "arxiv_id": "quant-ph/9902036",
    "authors": [
      "Julia Kempe"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.60.910",
    "journal_ref": "Phys.Rev.A60:910-916,1999",
    "title": "Multi-particle entanglement and its applications to cryptography",
    "url": "https://arxiv.org/abs/quant-ph/9902036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e21dcf8-d25b-4ac9-a0a3-83cfdc1359b1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}