{
  "annotation_id": "936dec4e-880e-422e-a4e4-ef1704e28bd6",
  "date_created": "2026-03-02T18:02:27.403000Z",
  "date_modified": "2026-03-02T18:02:27.403000Z",
  "file_hash": "d502dbdce8c114805406855f472e66207752f9e4578517a4559b8104b45fb3bc",
  "private": false,
  "record": {
    "abstract": "We study measurements of the unitary generalization of Pauli operators.\nFirst, an analytical (constructive) solution to the eigenproblem of these\noperators is presented. Next, in the case of two subsystems, the Schmidt form\nof the eigenvectors is derived to identify measurements which are easy to\nimplement. These results are utilized to show that quantum cryptography with\ntwo bases, when operating on a two-component qudit, can be realized with\nmeasurements on individual subsystems, assisted with classical communication.\nWe also discuss feasible devices which perform tomography of polarisation-path\nqudits.",
    "arxiv_id": "quant-ph/0607062",
    "authors": [
      "Tomasz Paterek"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2007.05.082",
    "journal_ref": "Phys. Lett. A 367, 57 (2007)",
    "title": "Measurements on Composite Qudits",
    "url": "https://arxiv.org/abs/quant-ph/0607062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e641489e-2d61-4461-bd00-42c66dd76b50",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}