{
  "id": "2201.05065",
  "version": "v2",
  "published": "2022-01-13T16:49:04.000Z",
  "updated": "2022-06-17T07:16:32.000Z",
  "title": "Assessment of the variational quantum eigensolver: application to the Heisenberg model",
  "authors": [
    "Manpreet Singh Jattana",
    "Fengping Jin",
    "Hans De Raedt",
    "Kristel Michielsen"
  ],
  "journal": "Front. Phys. 10:907160 (2022)",
  "doi": "10.3389/fphy.2022.907160",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We present and analyze large-scale simulation results of a hybrid quantum-classical variational method to calculate the ground state energy of the anti-ferromagnetic Heisenberg model. Using a massively parallel universal quantum computer simulator, we observe that a low-depth-circuit ansatz advantageously exploits the efficiently preparable N\\'{e}el initial state, avoids potential barren plateaus, and works for both one- and two-dimensional lattices. The analysis reflects the decisive ingredients required for a simulation by comparing different ans\\\"{a}tze, initial parameters, and gradient-based versus gradient-free optimizers. Extrapolation to the thermodynamic limit accurately yields the analytical value for the ground state energy, given by the Bethe ansatz. We predict that a fully functional quantum computer with 100 qubits can calculate the ground state energy with a relatively small error.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-06-17T07:16:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "variational quantum eigensolver",
      "heisenberg model",
      "ground state energy",
      "parallel universal quantum computer simulator",
      "application"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}