{
  "annotation_id": "7bd08774-c908-49dc-a5bd-e0e49e8f98e8",
  "date_created": "2026-03-02T18:02:13.080000Z",
  "date_modified": "2026-03-02T18:02:13.080000Z",
  "file_hash": "586cf9e27841ac259e6c658e804a1d64ccdab348e25a6d0396c0bd8585a696d3",
  "private": false,
  "record": {
    "abstract": "In this contribution we solve the following problem. Let H_{nm} be a Hilbert\nspace of dimension nm, and let A be a positive semidefinite self-adjoint linear\noperator on H_{nm}. Under which conditions on the spectrum has A a positive\npartial transpose (is PPT) with respect to any partition H_n \\otimes H_m of the\nspace H_{nm} as a tensor product of an n-dimensional and an m-dimensional\nHilbert space? We show that the necessary and sufficient conditions can be\nexpressed as a set of linear matrix inequalities on the eigenvalues of A.",
    "arxiv_id": "quant-ph/0502170",
    "authors": [
      "Roland Hildebrand"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.76.052325",
    "title": "PPT from spectra",
    "url": "https://arxiv.org/abs/quant-ph/0502170"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c693c716-db31-4323-b0ed-cf45e8fe7f75",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}