{
  "id": "quant-ph/0306135",
  "version": "v4",
  "published": "2003-06-19T19:28:28.000Z",
  "updated": "2003-08-09T01:39:13.000Z",
  "title": "Picturing Qubits in Phase Space",
  "authors": [
    "William K. Wootters"
  ],
  "comment": "26 pages; contribution to the Charles H. Bennett 60th Birthday Symposium; references added in v2, v3, and v4",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Focusing particularly on one-qubit and two-qubit systems, I explain how the quantum state of a system of n qubits can be expressed as a real function--a generalized Wigner function--on a discrete 2^n x 2^n phase space. The phase space is based on the finite field having 2^n elements, and its geometric structure leads naturally to the construction of a complete set of 2^n+1 mutually conjugate bases.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2003-08-09T01:39:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase space",
      "picturing qubits",
      "real function-a generalized wigner function-on",
      "finite field",
      "mutually conjugate bases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003quant.ph..6135W"
    }
  }
}