{
  "annotation_id": "098eae86-6044-4502-bd3c-332c64d61ba0",
  "date_created": "2026-03-02T18:01:41.719000Z",
  "date_modified": "2026-03-02T18:01:41.719000Z",
  "file_hash": "b8278f904332b9650fbae0e353f8237366c211fdc6368b648d52f82867af39f1",
  "private": false,
  "record": {
    "abstract": "We introduce new entanglement monotones which generalize, to the case of many\nparties, those which give rise to the majorization-based partial ordering of\nbipartite states\u0027 entanglement. We give some examples of restrictions they\nimpose on deterministic and probabilistic conversion between multipartite\nstates via local actions and classical communication. These include\nrestrictions which do not follow from any bipartite considerations. We derive\nsupermultiplicativity relations between each state\u0027s monotones and the\nmonotones for collective processing when the parties share several states. We\nalso investigate polynomial invariants under local unitary transformations, and\nshow that a large class of these are invariant under collective unitary\nprocessing and also multiplicative, putting restrictions, for example, on the\nexact conversion of multiple copies of one state to multiple copies of another.",
    "arxiv_id": "quant-ph/0103155",
    "authors": [
      "H. Barnum",
      "N. Linden"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/35/305",
    "title": "Monotones and invariants for multi-particle quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0103155"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ebcff1c1-b885-498f-a6ba-b2804ee592d8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}