{
  "annotation_id": "3a466343-2512-458b-a7cd-25d89ed2a03b",
  "date_created": "2026-03-02T18:01:45.340000Z",
  "date_modified": "2026-03-02T18:01:45.340000Z",
  "file_hash": "b1b4f03ad88045be64628c27da620d5e1fda904704e7016566e45349592c9586",
  "private": false,
  "record": {
    "abstract": "Two pure states of a multi-partite system are alway are related by a unitary\ntransformation acting on the Hilbert space of the whole system. This\ntransformation involves multi-partite transformations. On the other hand some\nquantum information protocols such as the quantum teleportation and quantum\ndense coding are based on equivalence of some classes of states of bi-partite\nsystems under the action of local (one-particle) unitary operations. In this\npaper we address the question: ``Under what conditions are the two states\nstates, $\\varrho$ and $\\sigma$, of a multi-partite system locally unitary\nequivalent?\u0027\u0027 We present a set of conditions which have to be satisfied in\norder that the two states are locally unitary equivalent. In addition, we study\nwhether it is possible to prepare a state of a multi-qudit system. which is\ndivided into two parts A and B, by unitary operations acting only on the\nsystems A and B, separately.",
    "arxiv_id": "quant-ph/0107016",
    "authors": [
      "Mario Ziman",
      "Peter Stelmachovic",
      "Vladimir Buzek"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1002/1521-3978(200110)49:10/11\u003c1123::AID-PROP1123\u003e3.0.CO;2-Q",
    "title": "On the local unitary equivalence of states of multi-partite systems",
    "url": "https://arxiv.org/abs/quant-ph/0107016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "00a10476-a360-4e65-9444-f8199e0e02a5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}