{
  "annotation_id": "873c738d-3154-4f44-a768-ce17feca72a5",
  "date_created": "2026-03-02T18:02:30.287000Z",
  "date_modified": "2026-03-02T18:02:30.287000Z",
  "file_hash": "f3648e97ebfcd8207d65221d66a65b185400e273fcc0271bbddcb7e3168331e8",
  "private": false,
  "record": {
    "abstract": "We analyze the class of single qubit channels with the environment modeled by\na one-qubit mixed state. The set of affine transformations for this class of\nchannels is computed analytically, employing the canonical form for the\ntwo-qubit unitary operator. We demonstrate that, 3/8 of the generalized\ndepolarizing channels can be simulated by the one-qubit mixed state environment\nby explicitly obtaining the shape of the volume occupied by this class of\nchannels within the tetrahedron representing the generalized depolarizing\nchannels. Further, as a special case, we show that the two-Pauli Channel cannot\nbe simulated by a one-qubit mixed state environment.",
    "arxiv_id": "quant-ph/0611058",
    "authors": [
      "Geetu Narang",
      "Arvind"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.75.032305",
    "journal_ref": "Phys. Rev. A 75, 032305 (2007)",
    "title": "Simulating a single qubit channel using a mixed state environment",
    "url": "https://arxiv.org/abs/quant-ph/0611058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "219722b2-1583-40a9-a8e6-7a8dafecb864",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}