{
  "id": "quant-ph/0406170",
  "version": "v1",
  "published": "2004-06-23T08:01:09.000Z",
  "updated": "2004-06-23T08:01:09.000Z",
  "title": "Purification of Single Qubits and reconstruction from Post-Measurement State",
  "authors": [
    "Chirag Dhara",
    "N. D. Hari Dass"
  ],
  "comment": "6 pages in REVTEX",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Purification of mixed states in Quantum Mechanics, by which we mean the transformation into pure states, has been viewed as an {\\it Operation} in the sense of Kraus et al and explicit {\\it Kraus Operators} \\cite{kra1,kra2,kra3} have been constructed for two seperate purification protocols. The first one, initially due to Schrodinger \\cite{sch} and subsequently elaborated by Sudarshan et al \\cite{sudar}, is based on the {\\it preservation of probabilities}. We have constructed a second protocol here based on {\\it optimization of fidelities}. Both purification protocols have been implemented on a single qubit in an attempt to improve the fidelity of the purified post measurement state of the qubit with the initial pure state. We have considered both {\\it complete} and {\\it partial} measurements and have established bounds and inequalities for various fidelities. We show that our purification protocol leads to better state reconstruction, most explicitly so, when partial measurements are made.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-23T08:01:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "single qubit",
      "post-measurement state",
      "better state reconstruction",
      "initial pure state",
      "seperate purification protocols"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004quant.ph..6170D"
    }
  }
}