{
  "id": "quant-ph/0302064",
  "version": "v1",
  "published": "2003-02-10T12:40:04.000Z",
  "updated": "2003-02-10T12:40:04.000Z",
  "title": "On Symmetric Sets of Projectors for Reconstruction of a Density Matrix",
  "authors": [
    "Alexander Yu. Vlasov"
  ],
  "comment": "LaTeXe, 6 pages, 2 col",
  "categories": [
    "quant-ph"
  ],
  "abstract": "In this work are presented sets of projectors for reconstruction of a density matrix for an arbitrary mixed state of a quantum system with the finite-dimensional Hilbert space. It was discussed earlier [quant-ph/0104126] a construction with (2n-1)n projectors for the dimension n. For n=2 it is a set with six projectors associated with eigenvectors of three Pauli matrices, but for n>2 the construction produces not such a `regular' set. In this paper are revisited some results of previous work [quant-ph/0104126] and discussed another, more symmetric construction with the Weyl matrix pair (as the generalization of Pauli matrices). In the particular case of prime n it is the mutually unbiased set with (n+1)n projectors. In appendix is shown an example of application of complete sets for discussions about separability and random robustness.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-02-10T12:40:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "density matrix",
      "projectors",
      "symmetric sets",
      "reconstruction",
      "pauli matrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003quant.ph..2064V"
    }
  }
}