{
  "annotation_id": "a2fb7b37-b089-4e22-a97a-5f1b2723dffe",
  "date_created": "2026-03-02T18:01:49.091000Z",
  "date_modified": "2026-03-02T18:01:49.091000Z",
  "file_hash": "e5f94e88a860ae257256e3528b2cf5c77d33eb174047502cd45edc8dd9839c94",
  "private": false,
  "record": {
    "abstract": "This paper defines a notion of parallel transport in a lattice of quantum\nparticles, such that the transformation associated with each link of the\nlattice is determined by the quantum state of the two particles joined by that\nlink. We focus particularly on a one-dimensional lattice--a ring--of entangled\nrebits, which are binary quantum objects confined to a real state space. We\nconsider states of the ring that maximize the correlation between nearest\nneighbors, and show that some correlation must be sacrificed in order to have\nnon-trivial parallel transport around the ring. An analogy is made with lattice\ngauge theory, in which non-trivial parallel transport around closed loops is\nassociated with a reduction in the probability of the field configuration. We\ndiscuss the possibility of extending our result to qubits and to higher\ndimensional lattices.",
    "arxiv_id": "quant-ph/0202048",
    "authors": [
      "William K. Wootters"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1499207",
    "title": "Parallel transport in an entangled ring",
    "url": "https://arxiv.org/abs/quant-ph/0202048"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3e9250d2-77d2-4aec-9145-bf7f2aa2bb34",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}