{
  "id": "2111.04047",
  "version": "v2",
  "published": "2021-11-07T10:54:57.000Z",
  "updated": "2022-02-17T15:34:08.000Z",
  "title": "Comparing Two-Qubit and Multi-Qubit Gates within the Toric Code",
  "authors": [
    "David Schwerdt",
    "Yotam Shapira",
    "Tom Manovitz",
    "Roee Ozeri"
  ],
  "comment": "9 pages, 6 figures; updated simulation for five-qubit model, figures 5 and 6",
  "journal": "Phys. Rev. A 105, 022612 (2022)",
  "doi": "10.1103/PhysRevA.105.022612",
  "categories": [
    "quant-ph"
  ],
  "abstract": "In some quantum computing (QC) architectures, entanglement of an arbitrary number of qubits can be generated in a single operation. This property has many potential applications, and may specifically be useful for quantum error correction (QEC). Stabilizer measurements can then be implemented using a single multi-qubit gate instead of several two-qubit gates, thus reducing circuit depth. In this study, the toric code is used as a benchmark to compare the performance of two-qubit and five-qubit gates within parity-check circuits. We consider trapped ion qubits that are controlled via Raman transitions, where the primary source of error is assumed to be spontaneous photon scattering. We show that a five-qubit M{\\o}lmer-S{\\o}rensen gate offers an approximately $40\\%$ improvement over two-qubit gates in terms of the fault tolerance threshold. This result indicates an advantage of using multi-qubit gates in the context of QEC.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-02-17T15:34:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "toric code",
      "two-qubit gates",
      "single multi-qubit gate",
      "fault tolerance threshold",
      "quantum error correction"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}