{
  "annotation_id": "2d1f00eb-0273-4e52-bab9-fd69fbf573d3",
  "date_created": "2026-03-02T18:02:27.505000Z",
  "date_modified": "2026-03-02T18:02:27.505000Z",
  "file_hash": "25731358f5f4bf061a289da0ec7831de34c406ab122aa332d2d9cabd53d9e6a6",
  "private": false,
  "record": {
    "abstract": "The central issue in this article is to transmit a quantum state in such a\nway that after some decoherence occurs, most of the information can be restored\nby a suitable decoding operation. For this purpose, we incorporate redundancy\nby mapping a given initial quantum state to a messenger state on a\nlarger-dimensional Hilbert space via a $C^*$-algebra embedding. Our noise model\nfor the transmission is a phase damping channel which admits a noiseless or\ndecoherence-free subspace or subsystem. More precisely, the transmission\nchannel is obtained from convex combinations of a set of lowest rank yes/no\nmeasurements that leave a component of the messenger state unchanged. The\nobjective of our encoding is to distribute quantum information optimally across\nthe noise-susceptible component of the transmission when the noiseless\ncomponent is not large enough to contain all the quantum information to be\ntransmitted. We derive simple geometric conditions for optimal encoding and\nconstruct examples.",
    "arxiv_id": "quant-ph/0605235",
    "authors": [
      "Bernhard G. Bodmann",
      "David W. Kribs",
      "Vern I. Paulsen"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Decoherence-Insensitive Quantum Communication by Optimal C^*-Encoding",
    "url": "https://arxiv.org/abs/quant-ph/0605235"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2513f2e7-6b1b-4761-8148-c7da5af406f8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}