{
  "annotation_id": "2588b08d-d123-495e-b518-478e30943bdb",
  "date_created": "2026-03-02T18:01:39.216000Z",
  "date_modified": "2026-03-02T18:01:39.216000Z",
  "file_hash": "345eba309c0b71ead04469e2afae786883a1b7c0d17c130001427ed8a9f0dbd8",
  "private": false,
  "record": {
    "abstract": "We provide a canonical form of mixed states in bipartite quantum systems in\nterms of a convex combination of a separable state and a, so-called, edge\nstate. We construct entanglement witnesses for all edge states. We present a\ncanonical form of nondecomposable entanglement witnesses and the corresponding\npositive maps. We provide constructive methods for their optimization in a\nfinite number of steps. We present a characterization of separable states using\na special class of entanglement witnesses. Finally, we present a nontrivial\nnecessary condition for entanglement witnesses and positive maps to be\nextremal.",
    "arxiv_id": "quant-ph/0005112",
    "authors": [
      "M. Lewenstein",
      "B. Kraus",
      "P. Horodecki",
      "J. I. Cirac"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.63.044304",
    "title": "Characterization of separable states and entanglement witnesses",
    "url": "https://arxiv.org/abs/quant-ph/0005112"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dae2f88f-42f7-40fc-a501-fcd25e32556f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}