{
  "annotation_id": "8f6c5000-6f42-4b6a-a0b4-c0a9696ec896",
  "date_created": "2026-03-02T18:02:48.517000Z",
  "date_modified": "2026-03-02T18:02:48.517000Z",
  "file_hash": "c115fa808f60a1fb5dd6156cac599a2acbc679f32eb6164c43dc9c95f482c8f4",
  "private": false,
  "record": {
    "abstract": "We present a general method for constructing pure-product-state\nrepresentations for density operators of $N$ quantum bits. If such a\nrepresentation has nonnegative expansion coefficients, it provides an explicit\nseparable ensemble for the density operator. We derive the condition for\nseparability of a mixture of the Greenberger-Horne-Zeilinger state with the\nmaximally mixed state.",
    "arxiv_id": "quant-ph/9904109",
    "authors": [
      "R. Schack",
      "C. M. Caves"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1080/09500340008244050",
    "journal_ref": "J.Mod.Opt. 47 (2000) 387-399",
    "title": "Explicit product ensembles for separable quantum states",
    "url": "https://arxiv.org/abs/quant-ph/9904109"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f838064c-6846-47d8-8690-d13e0a11c7c0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}