{
  "id": "quant-ph/0301088",
  "version": "v1",
  "published": "2003-01-17T15:35:15.000Z",
  "updated": "2003-01-17T15:35:15.000Z",
  "title": "Concurrence and foliations induced by some 1-qubit channels",
  "authors": [
    "Armin Uhlmann"
  ],
  "comment": "Quantum Composite systems 2002, Ustron, Poland, September 2002, talk",
  "journal": "Int. J. Theeor. Phys. 42, 983-999 (2003)",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We start with a short introduction to the roof concept. An elementary discussion of phase-damping channels shows the role of anti-linear operators in representing their concurrence. A general expression for some concurrences is derived. We apply it to 1-qubit channels of length two, getting induced foliations of the state space, the optimal decompositions, and the entropy of a state with respect to these channels. For amplitude-damping channels one obtains an expression for the Holevo capacity allowing for easy numerical calculations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-17T15:35:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "concurrence",
      "foliations",
      "roof concept",
      "elementary discussion",
      "holevo capacity"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003quant.ph..1088U"
    }
  }
}