{
  "annotation_id": "d669fe43-c2e9-426f-a126-f789ef0a58c7",
  "date_created": "2026-03-02T18:02:03.544000Z",
  "date_modified": "2026-03-02T18:02:03.544000Z",
  "file_hash": "8ed2189905e666702a58ba4a263a707681b59812018133ffc8eb1ac29b73b758",
  "private": false,
  "record": {
    "abstract": "The density matrix of composite spin system is discussed in relation to the\nadjoint representation of unitary group U(n). The entanglement structure is\nintroduced as an additional ingredient to the description of the linear space\ncarrying the adjoint representation. Positive maps of density operator are\nrelated to random matrices. The tomographic probability description of quantum\nstates is used to formulate the problem of separability and entanglement as the\ncondition for joint probability distribution of several random variables\nrepresented as the convex sum of products of probabilities of random variables\ndescribing the subsystems. The property is discussed as a possible criterion\nfor separability or entanglement. The convenient criterion of positivity of\nfinite and infinite matrix is obtained. The U(n)-tomogram of a multiparticle\nspin state is introduced. The entanglement measure is considered in terms of\nthis tomogram.",
    "arxiv_id": "quant-ph/0310022",
    "authors": [
      "V. I. Man\u0027ko",
      "G. Marmo",
      "E. C. G. Sudarshan",
      "F. Zaccaria"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "J.Russ.Laser Res. 24 (2003) 507-543",
    "title": "Entanglement structure of adjoint representation of unitary group and   tomography of quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0310022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "67eafb75-ed90-4474-8a73-0ef0714f395e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}