{
  "annotation_id": "233b5b0d-ed34-4db3-853a-050298ffe901",
  "date_created": "2026-03-02T18:02:31.272000Z",
  "date_modified": "2026-03-02T18:02:31.272000Z",
  "file_hash": "ae5e9819a5d3fac5025b0894d122f870b3192ad353f46a5af9c9b331f4164d87",
  "private": false,
  "record": {
    "abstract": "A linear map of qudit tomogram onto qubit tomogram (qubit portrait) is\nproposed as a characteristics of the qudit state. Using the qubit portrait\nmethod the Bell inequalities for two qubits and two qutrits are discussed in\nframework of probability representation of quantum mechanics. Semigroup of\nstochastic matrices is associated with tomographic probability distributions of\nqubit and qutrit states. Bell-like inequalities are studied using the semigroup\nof stochastic matrices. The qudit-qubit map of tomographic probability\ndistributions is discussed as ansatz to provide a necessary condition for\nseparability of quantum states.",
    "arxiv_id": "quant-ph/0611168",
    "authors": [
      "V. N. Chernega",
      "V. I. Man\u0027ko"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Qubit portrait of qudit states and Bell inequalities",
    "url": "https://arxiv.org/abs/quant-ph/0611168"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fb5fff3f-868b-47ff-979a-0f42e355c300",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}