{
  "annotation_id": "ecada5aa-85f2-4a43-a691-f8606e505f58",
  "date_created": "2026-03-02T18:02:30.970000Z",
  "date_modified": "2026-03-02T18:02:30.970000Z",
  "file_hash": "02f767db4774e29e50c7958c3ff0f372f209b24981e06d431a356d28d1639236",
  "private": false,
  "record": {
    "abstract": "We show how to implement the optimal Gaussian $N$-to-$M$ cloning with linear\noptics and homodyne detection. We also show that the Gaussian $N$-to-$M$\ncloning of known-phase coherent states can be performed with the fidelity\n$\\sqrt \\frac{2 M N}{2M N+M -N}$ by linear optics and homodyne detection, and\nwith $\\frac{2}{\\sqrt{1+\\frac{1}{N}}+\\sqrt {1-\\frac{1}{M}}}$ by utilizing\nquadrature squeezing. From the classical limit of the cloning (1-to-$\\infty$\ncloning), a necessary condition of continuous variable quantum key distribution\nusing known-phase coherent states is provided.",
    "arxiv_id": "quant-ph/0609170",
    "authors": [
      "Ryo Namiki",
      "Masato Koashi",
      "Nobuyuki Imoto"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Optimal Gaussian $N$-to-$M$ cloning with linear optics and Gaussian   cloning of known-phase coherent states",
    "url": "https://arxiv.org/abs/quant-ph/0609170"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "793a9018-e104-4587-8607-bc51182035ca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}