{
  "annotation_id": "1039becb-4e5d-4114-bfb1-ee2633f23c48",
  "date_created": "2026-03-02T18:02:16.024000Z",
  "date_modified": "2026-03-02T18:02:16.024000Z",
  "file_hash": "ad9b2da23fd894a6d57445bb7e350668e1ee0d6372a0c7af3ff9bb3ab120ae19",
  "private": false,
  "record": {
    "abstract": "For any unitarily invariant convex function F on the states of a composite\nquantum system which isolates the trace there is a critical constant C such\nthat F(w)\u003c= C for a state w implies that w is not entangled; and for any\npossible D \u003e C there are entangled states v with F(v)=D. Upper- and lower\nbounds on C are given. The critical values of some F\u0027s for qubit/qubit and\nqubit/qutrit bipartite systems are computed. Simple conditions on the spectrum\nof a state guaranteeing separability are obtained. It is shown that the thermal\nequilbrium states specified by any Hamiltonian of an arbitrary compositum are\nseparable if the temperature is high enough.",
    "arxiv_id": "quant-ph/0505044",
    "authors": [
      "G. A. Raggio"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/3/013",
    "title": "Spectral Conditions on the State of a Composite Quantum System Implying   its Separability",
    "url": "https://arxiv.org/abs/quant-ph/0505044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "990d03d3-cff0-46c5-aa31-7cbee471dacb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}