{
  "annotation_id": "41e07bb4-71c7-4abe-8857-7c08a3dc5135",
  "date_created": "2026-03-02T18:02:16.599000Z",
  "date_modified": "2026-03-02T18:02:16.599000Z",
  "file_hash": "39f2ba0b5dab7a730f7ea3d3cde948c86a3d67481d63186689dd1b7d069b81c3",
  "private": false,
  "record": {
    "abstract": "Linear-Optical Passive (LOP) devices and photon counters are sufficient to\nimplement universal quantum computation with single photons, and particular\nschemes have already been proposed. In this paper we discuss the link between\nthe algebraic structure of LOP transformations and quantum computing. We first\nshow how to decompose the Fock space of N optical modes in finite-dimensional\nsubspaces that are suitable for encoding strings of qubits and invariant under\nLOP transformations (these subspaces are related to the spaces of irreducible\nunitary representations of U(N)). Next we show how to design in algorithmic\nfashion\n  LOP circuits which implement any quantum circuit deterministically. We also\npresent some simple examples, such as the circuits implementing a CNOT gate and\na Bell-State Generator/Analyzer.",
    "arxiv_id": "quant-ph/0504108",
    "authors": [
      "P. Aniello",
      "R. Coen Cagli"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1464-4266/7/12/038",
    "journal_ref": "J.Opt.B Quant.Semiclass.Opt. 7 (2005) S711-S720",
    "title": "An Algebraic Approach to Linear-Optical Schemes for Deterministic   Quantum Computing",
    "url": "https://arxiv.org/abs/quant-ph/0504108"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b6113852-e3fa-4d8b-b2bb-61f049c1f68b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}