{
  "annotation_id": "5de5a2a7-6315-4a5c-8a3a-b47a8dd4d596",
  "date_created": "2026-03-02T18:02:27.506000Z",
  "date_modified": "2026-03-02T18:02:27.506000Z",
  "file_hash": "416395c68cde2a10a87d11a1c7cffaf26279a1452b6f5d38cfedf7e457511e39",
  "private": false,
  "record": {
    "abstract": "We describe a unified framework of phase covariant multi user quantum\ntransformations for d-dimensional quantum systems. We derive the optimal phase\ncovariant cloning and transposition tranformations for multi phase states. We\nshow that for some particular relations between the input and output number of\ncopies they correspond to economical tranformations, which can be achieved\nwithout the need of auxiliary systems. We prove a relation between the optimal\nphase covariant cloning and transposition maps, and optimal estimation of\nmultiple phases for equatorial states.",
    "arxiv_id": "quant-ph/0606120",
    "authors": [
      "Francesco Buscemi",
      "Giacomo Mauro D\u0027Ariano",
      "Chiara Macchiavello"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1364/JOSAB.24.000363",
    "journal_ref": "J. Opt. Soc. Am. B 24, 363 (2007)",
    "title": "Economical realization of phase covariant devices in arbitrary   dimensions",
    "url": "https://arxiv.org/abs/quant-ph/0606120"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8cab7903-c58a-428d-882f-107b34079540",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}