{
  "annotation_id": "048e712f-c8a4-42a0-a746-6d75a3b1fb2b",
  "date_created": "2026-03-02T18:02:34.500000Z",
  "date_modified": "2026-03-02T18:02:34.500000Z",
  "file_hash": "3222ff588cca4e9308a65e2c21b871f42ca2fb13176dc398c8a7a1146c6dc1bc",
  "private": false,
  "record": {
    "abstract": "Measures are introduced to quantify the degree of superposition in mixed\nstates with respect to orthogonal decompositions of the Hilbert space of a\nquantum system.\n  These superposition measures can be regarded as analogues to entanglement\nmeasures, but can also be put in a more direct relation to the latter. By a\nsecond quantization of the system it is possible to induce superposition\nmeasures from entanglement measures. We consider the measures induced from\nrelative entropy of entanglement and entanglement of formation. We furthermore\nintroduce a class of measures with an operational interpretation in terms of\ninterferometry. We consider the superposition measures under the action of\nsubspace preserving and local subspace preserving channels. The theory is\nillustrated with models of an atom undergoing a relaxation process in a\nMach-Zehnder interferometer.",
    "arxiv_id": "quant-ph/0612146",
    "authors": [
      "Johan Aberg"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantifying Superposition",
    "url": "https://arxiv.org/abs/quant-ph/0612146"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f95154a2-406b-4595-a863-a8048a47d5b5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}