{
  "id": "2112.14262",
  "version": "v2",
  "published": "2021-12-28T19:00:01.000Z",
  "updated": "2022-04-12T16:44:24.000Z",
  "title": "Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions",
  "authors": [
    "Nhung H. Nguyen",
    "Minh C. Tran",
    "Yingyue Zhu",
    "Alaina M. Green",
    "C. Huerta Alderete",
    "Zohreh Davoudi",
    "Norbert M. Linke"
  ],
  "categories": [
    "quant-ph",
    "hep-lat",
    "hep-ph",
    "nucl-th"
  ],
  "abstract": "Tracking the dynamics of physical systems in real time is a prime application of digital quantum computers. Using a trapped-ion system with up to six qubits, we simulate the real-time dynamics of a lattice gauge theory in 1+1 dimensions, i.e., the lattice Schwinger model, and demonstrate non-perturbative effects such as pair creation for times much longer than previously accessible. We study the gate requirement of two formulations of the model using the Suzuki-Trotter product formula, as well as the trade-off between errors from the ordering of the Hamiltonian terms, the Trotter step size, and experimental imperfections. To mitigate experimental errors, a recent symmetry-protection protocol for suppressing coherent errors and a symmetry-inspired post-selection scheme are applied. This work demonstrates the integrated theoretical, algorithmic, and experimental approach that is essential for efficient simulation of lattice gauge theories and other complex physical systems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-04-12T16:44:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "digital quantum simulation",
      "symmetry protection",
      "trapped ions",
      "lattice gauge theory",
      "suzuki-trotter product formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}