{
  "annotation_id": "74736f50-7f6b-4e12-ac7e-445be5aafa7a",
  "date_created": "2026-03-02T18:01:46.141000Z",
  "date_modified": "2026-03-02T18:01:46.141000Z",
  "file_hash": "4ee9514ce9033e9ea1be6b65c3de32d5d4760fd580dada9e22024d2476cf84ef",
  "private": false,
  "record": {
    "abstract": "A set of quantum states can be unambiguously discriminated if and only if\nthey are linearly independent. However, for a linearly dependent set, if C\ncopies of the state are available, then the resulting C particle states may\nform a linearly independent set, and be amenable to unambiguous discrimination.\nWe obtain necessary and sufficient conditions for the possibility of\nunambiguous discrimination between N states given that C copies are available\nand that the single copies span a D dimensional space. These conditions are\nfound to be identical for qubits. We then examine in detail the linearly\ndependent trine ensemble. The set of C\u003e1 copies of each state is a set of\nlinearly independent lifted trine states. The maximum unambiguous\ndiscrimination probability is evaluated for all C\u003e1 with equal a priori\nprobabilities.",
    "arxiv_id": "quant-ph/0105016",
    "authors": [
      "Anthony Chefles"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.64.062305",
    "title": "Unambiguous Discrimination Between Linearly Dependent States with   Multiple Copies",
    "url": "https://arxiv.org/abs/quant-ph/0105016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8de21b92-f653-4a0e-aee8-8b8068eac1f6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}