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@INPROCEEDINGS{Willsch:858209,
      author       = {Willsch, Madita and Willsch, Dennis and Jin, Fengping and
                      De Raedt, Hans and Michielsen, Kristel},
      title        = {{S}uperconducting flux qubits compared to ideal two-level
                      systems as building blocks for quantum annealers},
      reportid     = {FZJ-2018-07115},
      year         = {2018},
      abstract     = {Quantum annealers provide a promising approach for solving
                      optimization problems.The theory of quantum annealing is
                      fundamentally different from gate-based quantum computing:
                      In quantum annealing, the system is prepared in a known
                      ground state of an initial Hamiltonian, then this
                      Hamiltonian is adiabatically transformed into the final
                      Hamiltonian whose ground state corresponds to the solution
                      of the given problem.Quantum annealing works well in theory
                      if the qubits can be modeled as two-level systems. However,
                      in real devices, the qubits are not based on perfect
                      two-level systems, but on a two-dimensional subspace of a
                      larger system. This makes approximations in analytic
                      calculations unavoidable.With a simulation utilizing the
                      Suzuki-Trotter product-formula approach to solve the
                      time-dependent Schrödinger equation, the time-evolution of
                      the full state of such a device based on superconducting
                      flux qubits is investigated and compared to the ideal
                      two-level system.},
      month         = {Aug},
      date          = {2018-08-05},
      organization  = {Bad Honnef Physics School on Quantum
                       Technologies, Bad Honnef (Germany), 5
                       Aug 2018 - 10 Aug 2018},
      subtyp        = {Other},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511) / PhD no Grant - Doktorand ohne besondere
                      Förderung (PHD-NO-GRANT-20170405)},
      pid          = {G:(DE-HGF)POF3-511 / G:(DE-Juel1)PHD-NO-GRANT-20170405},
      typ          = {PUB:(DE-HGF)24},
      url          = {https://juser.fz-juelich.de/record/858209},
}