{
  "annotation_id": "e1079b18-d917-41b9-a737-2dbcde47955c",
  "date_created": "2026-03-02T18:02:23.732000Z",
  "date_modified": "2026-03-02T18:02:23.732000Z",
  "file_hash": "00e2559f5a5efbc122f48fca5f9037f2a218dff90710ea74a79bff8b3bfda7bc",
  "private": false,
  "record": {
    "abstract": "Robustness measures as introduced by Vidal and Tarrach [PRA, 59, 141-155]\nquantify the extent to which entangled states remain entangled under mixing.\nAnalogously, we introduce here the Schmidt robustness and the random Schmidt\nrobustness. The latter notion is closely related to the construction of Schmidt\nballs around the identity. We analyse the situation for pure states and provide\nnon-trivial upper and lower bounds. Upper bounds to the random Schmidt-2\nrobustness allow us to construct a particularly simple distillability\ncriterion. We present two conjectures, the first one is related to the radius\nof inner balls around the identity in the convex set of Schmidt number\nn-states. We also conjecture a class of optimal Schmidt witnesses for pure\nstates.",
    "arxiv_id": "quant-ph/0512012",
    "authors": [
      "Lieven Clarisse"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/16/010",
    "journal_ref": "J. Phys. A: Math. Gen. 39 (2006) 4239-4249",
    "title": "Schmidt balls around the identity",
    "url": "https://arxiv.org/abs/quant-ph/0512012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9cf4b3c1-d868-4e3b-9f74-ce9994054c04",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}