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@ARTICLE{Jattana:908454,
      author       = {Jattana, Manpreet Singh and Jin, Fengping and De Raedt,
                      Hans and Michielsen, Kristel},
      title        = {{A}ssessment of the {V}ariational {Q}uantum {E}igensolver:
                      {A}pplication to the {H}eisenberg {M}odel},
      journal      = {Frontiers in physics},
      volume       = {10},
      issn         = {2296-424X},
      address      = {Lausanne},
      publisher    = {Frontiers Media},
      reportid     = {FZJ-2022-02613},
      pages        = {907160},
      year         = {2022},
      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 Néel
                      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 ansätze, 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.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / OpenSuperQ - An Open
                      Superconducting Quantum Computer (820363)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(EU-Grant)820363},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000819201900001},
      doi          = {10.3389/fphy.2022.907160},
      url          = {https://juser.fz-juelich.de/record/908454},
}