{
  "annotation_id": "e082452d-11ad-48ea-8748-d411f8da11a4",
  "date_created": "2026-03-02T18:02:36.800000Z",
  "date_modified": "2026-03-02T18:02:36.800000Z",
  "file_hash": "b827f1b6a99ebe4d642ed54b77f75cb3723c3462b60fd9b0c91f2a76529b3433",
  "private": false,
  "record": {
    "abstract": "In this paper, we investigate how quantum architectures affect the efficiency\nof the execution of the quantum Fourier transform (QFT) and linear\ntransformations, which are essential parts of the stabilizer/Clifford group\ncircuits. In particular, we show that in most common and realistic physical\narchitectures including the linear nearest neighbor, two-dimensional lattice,\nand bounded degree graph (containing a chain of length n), n-qubit QFT and\nn-qubit stabilizer circuits can be parallelized to linear depth using no\nauxiliary qubits. We construct lower bounds that show the efficiency of our\napproach.",
    "arxiv_id": "quant-ph/0703211",
    "authors": [
      "D. Maslov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.76.052310",
    "journal_ref": "Phys. Rev. A 76, 052310 (2007)",
    "title": "Linear Depth Stabilizer and Quantum Fourier Transformation Circuits with   no Auxiliary Qubits in Finite Neighbor Quantum Architectures",
    "url": "https://arxiv.org/abs/quant-ph/0703211"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ba0a35cf-e838-4358-a288-32b3fe00ad68",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}