{
  "annotation_id": "288e5122-6245-4fd4-b417-806dada85559",
  "date_created": "2026-03-02T18:01:55.391000Z",
  "date_modified": "2026-03-02T18:01:55.391000Z",
  "file_hash": "a1e81df80f7967f440037f8bd1e799298bae434346edee92c25251ec4b1a805c",
  "private": false,
  "record": {
    "abstract": "Entanglement, or quantum inseparability, is a crucial resource in quantum\ninformation applications, and therefore the experimental generation of\nseparated yet entangled systems is of paramount importance. Experimental\ndemonstrations of inseparability with light are not uncommon, but such\ndemonstrations in physically well-separated massive systems, such as distinct\ngases of atoms, are new and present significant challenges and opportunities.\nRigorous theoretical criteria are needed for demonstrating that given data are\nsufficient to confirm entanglement. Such criteria for experimental data have\nbeen derived for the case of continuous-variable systems obeying the\nHeisenberg-Weyl (position- momentum) commutator. To address the question of\nexperimental verification more generally, we develop a sufficiency criterion\nfor arbitrary states of two arbitrary systems. When applied to the recent study\nby Julsgaard, Kozhekin, and Polzik [Nature 413, 400 - 403 (2001)] of spin-state\nentanglement of two separate, macroscopic samples of atoms, our new criterion\nconfirms the presence of spin entanglement.",
    "arxiv_id": "quant-ph/0210137",
    "authors": [
      "M. G. Raymer",
      "A. C. Funk",
      "B. C. Sanders",
      "H. de Guise"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.052104",
    "title": "Separability criterion for separate quantum systems",
    "url": "https://arxiv.org/abs/quant-ph/0210137"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "55daf432-8a0d-4a57-86a0-25ef658041ec",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}