{
  "id": "1012.1675",
  "version": "v1",
  "published": "2010-12-08T02:26:36.000Z",
  "updated": "2010-12-08T02:26:36.000Z",
  "title": "Interpolation problems by completely positive maps",
  "authors": [
    "Chi-Kwong Li",
    "Yiu-Tung Poon"
  ],
  "categories": [
    "math.FA",
    "quant-ph"
  ],
  "abstract": "Given commuting families of Hermitian matrices {A1, ..., Ak} and {B1, ...., Bk}, conditions for the existence of a completely positive map L, such that L(Aj) = Bj for j = 1, ...,k, are studied. Additional properties such as unital or / and trace preserving on the map ? are also considered. Connections of the study to dilation theory, matrix inequalities, unitary orbits, and quantum information science are mentioned.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-08T02:26:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14A04",
      "15A42",
      "15B48",
      "15B51",
      "81P68"
    ],
    "keywords": [
      "positive map",
      "interpolation problems",
      "quantum information science",
      "hermitian matrices",
      "unitary orbits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.1675L"
    }
  }
}