{
  "annotation_id": "4611cdac-6b98-4f42-907a-e8c62038e131",
  "date_created": "2026-03-02T18:02:10.422000Z",
  "date_modified": "2026-03-02T18:02:10.422000Z",
  "file_hash": "d0d13ae25342db6f920d2be1366e06b2452eb071e8ae5cea92747fb5fb68d4de",
  "private": false,
  "record": {
    "abstract": "We compare a star and a ring network of interacting spins in terms of the\nentanglement they can provide between the nearest and the next to nearest\nneighbor spins in the ground state. We then investigate whether this\nentanglement can be optimized by allowing the system to interact through a\nweighted combination of the star and the ring geometries. We find that such a\nweighted combination is indeed optimal in certain circumstances for providing\nthe highest entanglement between two chosen spins. The entanglement shows jumps\nand counterintuitive behavior as the relative weighting of the star and the\nring interactions is varied. We give an exact mathematical explanation of the\nbehavior for a five qubit system (four spins in a ring and a central spin) and\nan intuitive explanation for larger systems. For the case of four spins in a\nring plus a central spin, we demonstrate how a four qubit GHZ state can be\ngenerated as a simple derivative of the ground state. Our calculations also\ndemonstrate that some of the multi-particle entangled states derivable from the\nground state of a star network are sufficiently robust to the presence of\nnearest neighbor ring interactions.",
    "arxiv_id": "quant-ph/0408077",
    "authors": [
      "A. Hutton",
      "S. Bose"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Ground State Entanglement in a Combination of Star And Ring Geometries   Of Interacting Spins",
    "url": "https://arxiv.org/abs/quant-ph/0408077"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f9abff58-d16c-4455-919f-954d2f54d8ca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}