{
  "annotation_id": "a4049660-5035-4978-aac8-e8447f07395b",
  "date_created": "2026-03-02T18:01:59.929000Z",
  "date_modified": "2026-03-02T18:01:59.929000Z",
  "file_hash": "785bea57495208c3f2f9940293f3503e25912cc99c6239a0e754c4602d993245",
  "private": false,
  "record": {
    "abstract": "We consider a quantum system with a finite number of distinguishable quantum\nstates, which may be partitioned freely by a number of quantum particles,\nassumed to be maximally entangled. We show that if we partition the system into\na number of qudits, then the Hilbert space dimension is maximized when each\nquantum particle is allowed to represent a qudit of order $e$. We demonstrate\nthat the dimensionality of an entangled system, constrained by the total number\nquantum states, partitioned so as to maximize the number of qutrits will always\nexceed the dimensionality of other qudit partitioning. We then show that if we\nrelax the requirement of partitioning the system into qudits, but instead let\nthe particles exist in any given state, that the Hilbert space dimension is\ngreatly increased.",
    "arxiv_id": "quant-ph/0304050",
    "authors": [
      "Andrew D. Greentree",
      "S. G. Schirmer",
      "F. Green",
      "Lloyd C. L. Hollenberg",
      "A. R. Hamilton",
      "R. G. Clark"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.92.097901",
    "journal_ref": "Phys. Rev. Lett. 92, 097901 (2004), also appeared in Virtual\n  Journal of Quantum Information, March 04 issue, and Virtual Journal of\n  Nanoscale Science and Technology, March 15, 04, issue.",
    "title": "Maximizing the Hilbert space for a finite number of distinguishable   quantum states",
    "url": "https://arxiv.org/abs/quant-ph/0304050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c86fc501-7ff4-48e7-b68a-e74b24dd7c40",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}