{
  "annotation_id": "97eed0d6-dac3-4e08-99b7-c3921db6d980",
  "date_created": "2026-03-02T18:02:10.378000Z",
  "date_modified": "2026-03-02T18:02:10.378000Z",
  "file_hash": "31cbda630c660d4065902caa1ab449d15db8b2242aa53740984355e72fbfac05",
  "private": false,
  "record": {
    "abstract": "Quantum key distribution (QKD) protocols are cryptographic techniques with\nsecurity based only on the laws of quantum mechanics. Two prominent QKD schemes\nare the BB84 and B92 protocols that use four and two quantum states,\nrespectively. In 2000, Phoenix et al. proposed a new family of three state\nprotocols that offers advantages over the previous schemes. Until now, an error\nrate threshold for security of the symmetric trine spherical code QKD protocol\nhas only been shown for the trivial intercept/resend eavesdropping strategy. In\nthis paper, we prove the unconditional security of the trine spherical code QKD\nprotocol, demonstrating its security up to a bit error rate of 9.81%. We also\ndiscuss on how this proof applies to a version of the trine spherical code QKD\nprotocol where the error rate is evaluated from the number of inconclusive\nevents.",
    "arxiv_id": "quant-ph/0408085",
    "authors": [
      "J. -C. Boileau",
      "K. Tamaki",
      "J. Batuwantudawe",
      "R. Laflamme",
      "J. M. Renes"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.94.040503",
    "journal_ref": "Phys. Rev. Lett. 94 040503 (2005)",
    "title": "Unconditional Security of Three State Quantum Key Distribution Protocols",
    "url": "https://arxiv.org/abs/quant-ph/0408085"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "84953d82-1305-4db6-a7bc-7c2bf55bbc16",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}