{
  "annotation_id": "2b67d9ed-41c7-45eb-a251-270bac0e0545",
  "date_created": "2026-03-02T18:01:53.120000Z",
  "date_modified": "2026-03-02T18:01:53.120000Z",
  "file_hash": "e7943481e42643d020e15c6cff7dcaf89368ce8975ab5127ba8db10f6bff5402",
  "private": false,
  "record": {
    "abstract": "We consider deeply the relation between the orthogonality and the\ndistinguishability of a set of arbitrary states (including multi-partite\nstates). It is shown that if a set of arbitrary states can be distinguished by\nlocal operations and classical communication (LOCC), \\QTR{it}{\\}each of the\nstates can be written as a linear combination of product vectors such that all\nproduct vectors of one of the states are orthogonal to the other states. With\nthis result we then prove a simple necessary condition for LOCC\ndistinguishability of a class of orthogonal states. These conclusions may be\nuseful in discussing the distinguishability of orthogonal quantum states\nfurther, understanding the essence of nonlocality and discussing the\ndistillation of entanglement.",
    "arxiv_id": "quant-ph/0209048",
    "authors": [
      "Ping Xing Chen",
      "Cheng Zu Li"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.68.062107",
    "journal_ref": "Phys.Rev.A 68,062107 (2003)",
    "title": "Orthogonality And Distinguishability: Criterion For Local   Distinguishability of Arbitrary Orthogonal States",
    "url": "https://arxiv.org/abs/quant-ph/0209048"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b2fd41dd-19e2-4b51-9857-9dd0fdcfaa1d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}