{
  "annotation_id": "6d5a8a7b-2cb5-4b1a-a6a8-d5f598c07f22",
  "date_created": "2026-03-02T18:01:44.850000Z",
  "date_modified": "2026-03-02T18:01:44.850000Z",
  "file_hash": "10606b176346ce1a7233059db1065580be62cd3450d901936040072e0b2c92b3",
  "private": false,
  "record": {
    "abstract": "Consider a system consisting of n d-dimensional quantum particles (qudits),\nand suppose that we want to optimize the entanglement between each pair. One\ncan ask the following basic question regarding the sharing of entanglement:\nwhat is the largest possible value Emax(n,d) of the minimum entanglement\nbetween any two particles in the system? (Here we take the entanglement of\nformation as our measure of entanglement.) For n=3 and d=2, that is, for a\nsystem of three qubits, the answer is known: Emax(3,2) = 0.550. In this paper\nwe consider first a system of d qudits and show that Emax(d,d) is greater than\nor equal to 1. We then consider a system of three particles, with three\ndifferent values of d. Our results for the three-particle case suggest that as\nthe dimension d increases, the particles can share a greater fraction of their\nentanglement capacity.",
    "arxiv_id": "quant-ph/0106058",
    "authors": [
      "Kenneth A. Dennison",
      "William K. Wootters"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.65.010301",
    "title": "Entanglement sharing among qudits",
    "url": "https://arxiv.org/abs/quant-ph/0106058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c8f36897-2163-4688-bdaf-4023f777b203",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}