{
  "annotation_id": "de9f7d09-a7ec-48a8-84e1-44a1bd6c7b2c",
  "date_created": "2026-03-02T18:02:41.038000Z",
  "date_modified": "2026-03-02T18:02:41.038000Z",
  "file_hash": "aaa0eebf55bf9be809242c7a0c40f7610317acd32f7a39f43c323e990b5af69d",
  "private": false,
  "record": {
    "abstract": "We continue our analysis of the physics of quantum lattice gas automata\n(QLGA). Previous work has been restricted to periodic or infinite lattices;\nsimulation of more realistic physical situations requires finite sizes and\nnon-periodic boundary conditions. Furthermore, envisioning a QLGA as a\nnanoscale computer architecture motivates consideration of inhomogeneities in\nthe `substrate\u0027; this translates into inhomogeneities in the local evolution\nrules. Concentrating on the one particle sector of the model, we determine the\nvarious boundary conditions and rule inhomogeneities which are consistent with\nunitary global evolution. We analyze the reflection of plane waves from\nboundaries, simulate wave packet refraction across inhomogeneities, and\nconclude by discussing the extension of these results to multiple particles.",
    "arxiv_id": "quant-ph/9712052",
    "authors": [
      "David A. Meyer"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/31/10/009",
    "journal_ref": "J.Phys.A31:2321-2340,1998",
    "title": "Quantum mechanics of lattice gas automata. II. Boundary conditions and   other inhomogeneities",
    "url": "https://arxiv.org/abs/quant-ph/9712052"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "75fa7bed-12cb-4961-bd1b-80ddbe65d50f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}