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@ARTICLE{Jattana:996121,
      author       = {Jattana, Manpreet Singh and Jin, Fengping and De Raedt,
                      Hans and Michielsen, Kristel},
      title        = {{I}mproved {V}ariational {Q}uantum {E}igensolver {V}ia
                      {Q}uasidynamical {E}volution},
      journal      = {Physical review applied},
      volume       = {19},
      number       = {2},
      issn         = {2331-7019},
      address      = {College Park, Md. [u.a.]},
      publisher    = {American Physical Society},
      reportid     = {FZJ-2023-01121},
      pages        = {024047},
      year         = {2023},
      abstract     = {The variational quantum eigensolver (VQE) is a hybrid
                      quantum classical algorithm designed for current and
                      near-term quantum devices. Despite its initial success,
                      there is a lack of understanding involving several of its
                      key aspects. There are problems with VQE that forbid a
                      favorable scaling towards quantum advantage. In order to
                      alleviate the problems, we propose and extensively test a
                      quantum annealing inspired heuristic that supplements VQE.
                      The improved VQE enables an efficient initial
                      state-preparation mechanism, in a recursive manner, for a
                      quasidynamical unitary evolution. We conduct an in-depth
                      scaling analysis of finding the ground-state energies with
                      increasing lattice sizes of the Heisenberg model, employing
                      simulations of up to 40 qubits that manipulate the complete
                      state vector. In addition to systematically finding the
                      ground-state energy, we observe that it avoids barren
                      plateaus, escapes local minima, and works with low-depth
                      circuits. For the current devices, we further propose a
                      benchmarking toolkit using a mean-field model and test it on
                      IBM Q devices. Realistic gate execution times estimate a
                      longer computational time to complete the same computation
                      on a fully functional error-free quantum computer than on a
                      quantum computer emulator implemented on a classical
                      computer. However, our proposal can be expected to help
                      accurate estimations of the ground-state energies beyond 50
                      qubits when the complete state vector can no longer be
                      stored on a classical computer, thus enabling quantum
                      advantage.},
      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) / PhD no Grant -
                      Doktorand ohne besondere Förderung (PHD-NO-GRANT-20170405)},
      pid          = {G:(DE-HGF)POF4-5111 / G:(EU-Grant)820363 /
                      G:(DE-Juel1)PHD-NO-GRANT-20170405},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000936544700002},
      doi          = {10.1103/PhysRevApplied.19.024047},
      url          = {https://juser.fz-juelich.de/record/996121},
}