{
  "annotation_id": "27b753ce-2c25-4893-a0fa-710e5f139b5d",
  "date_created": "2026-03-02T18:02:43.879000Z",
  "date_modified": "2026-03-02T18:02:43.879000Z",
  "file_hash": "6a0a7d07082b970fa2b098b0fc0c76e1491e42bbc1c05e3064b28561a8362202",
  "private": false,
  "record": {
    "abstract": "We apply and extend recent results of Krattenthaler and Slater\n(quant-ph/9612043), who sought quantum analogs of seminal work on universal\ndata compression of Clarke and Barron. KS obtained explicit formulas for the\neigenvalues and eigenvectors of the 2^m x 2^m density matrices gotten by\naveraging the m-fold tensor products with themselves of the 2 x 2 density\nmatrices. The weighting was done with respect to a one-parameter family of\nprobability distributions, all the members of which are spherically-symmetric\nover the \"Bloch sphere\" of two-level quantum systems. This family includes the\nnormalized volume element of the minimal monotone (Bures) metric. In this\nletter, we conduct parallel analyses (for m =2,3,4), based on a natural measure\non the density matrices recently proposed by Zyczkowski, Horodecki, Sanpera and\nLewenstein (quant-ph/9804024) and find interesting similarities and differences\nwith the findings of KS. In addition, we are able to obtain exact analogous\nresults, based on the measure of ZHSL, for the twofold tensor products of the 3\nx 3 density matrices.",
    "arxiv_id": "quant-ph/9806039",
    "authors": [
      "Paul B. Slater"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Exact Eigenanalyses of Certain N^m x N^m Density Matrices",
    "url": "https://arxiv.org/abs/quant-ph/9806039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "58547b17-03de-44d4-803f-d2c524405210",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}