{
  "id": "1203.5547",
  "version": "v2",
  "published": "2012-03-25T21:45:54.000Z",
  "updated": "2012-10-26T07:24:29.000Z",
  "title": "Physical transformations between quantum states",
  "authors": [
    "Zejun Huang",
    "Chi-Kwong Li",
    "Edward Poon",
    "Nung-Sing Sze"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Given two sets of quantum states {A_1, ..., A_k} and {B_1, ..., B_k}, represented as sets of density matrices, necessary and sufficient conditions are obtained for the existence of a physical transformation T, represented as a trace-preserving completely positive map, such that T(A_i) = B_i for i = 1, ..., k. General completely positive maps without the trace-preserving requirement, and unital completely positive maps transforming the states are also considered.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-26T07:24:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ta"
    ],
    "keywords": [
      "quantum states",
      "physical transformation",
      "positive map",
      "density matrices",
      "sufficient conditions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.4755846",
      "journal": "Journal of Mathematical Physics",
      "year": 2012,
      "month": "Oct",
      "volume": 53,
      "number": 10,
      "pages": 2209
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JMP....53j2209H"
    }
  }
}