{
  "annotation_id": "f4b4ad13-6141-465a-ab72-0cc77446ad6c",
  "date_created": "2026-03-02T18:02:27.656000Z",
  "date_modified": "2026-03-02T18:02:27.656000Z",
  "file_hash": "8ce0991f8962a8b1086b6709489b0a917c57d262e7a0395cd4127cce2658798e",
  "private": false,
  "record": {
    "abstract": "We construct the optimal 1 to 2 cloning transformation for the family of\ndisplaced thermal equilibrium states of a harmonic oscillator, with a fixed and\nknown temperature. The transformation is Gaussian and it is optimal with\nrespect to the figure of merit based on the joint output state and norm\ndistance. The proof of the result is based on the equivalence between the\noptimal cloning problem and that of optimal amplification of Gaussian states\nwhich is then reduced to an optimization problem for diagonal states of a\nquantum oscillator. A key concept in finding the optimum is that of stochastic\nordering which plays a similar role in the purely classical problem of Gaussian\ncloning. The result is then extended to the case of n to m cloning of mixed\nGaussian states.",
    "arxiv_id": "quant-ph/0605161",
    "authors": [
      "Madalin Guta",
      "Keiji Matsumoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.032305",
    "journal_ref": "Phys. Rev A, 74, 032305 (2006)",
    "title": "Optimal cloning of mixed Gaussian states",
    "url": "https://arxiv.org/abs/quant-ph/0605161"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2ee127cb-2a67-47f0-abf2-466657aee656",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}