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@ARTICLE{Lagemann:916604,
      author       = {Lagemann, H. and Willsch, D. and Willsch, M. and Jin, F.
                      and De Raedt, H. and Michielsen, K.},
      title        = {{N}umerical analysis of effective models for flux-tunable
                      transmon systems},
      journal      = {Physical review / A},
      volume       = {106},
      number       = {2},
      issn         = {2469-9926},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2022-06360},
      pages        = {022615},
      year         = {2022},
      abstract     = {Simulations and analytical calculations that aim to
                      describe flux-tunable transmons are usually based on
                      effective models of the corresponding lumped-element model.
                      However, when a control pulse is applied, in most cases it
                      is not known how much the predictions made with the
                      effective models deviate from the predictions made with the
                      original lumped-element model. In this work we compare the
                      numerical solutions of the time-dependent Schrödinger
                      equation for both the effective and the lumped-element
                      models, for microwave and unimodal control pulses (external
                      fluxes). These control pulses are used to model single-qubit
                      (X) and two-qubit gate (iswap and cz) transitions. First, we
                      derive a nonadiabatic effective Hamiltonian for a single
                      flux-tunable transmon and compare the pulse response of this
                      model to the one of the corresponding circuit Hamiltonian.
                      Here we find that both models predict similar outcomes for
                      similar control pulses. Then, we study how different
                      approximations affect single-qubit (X) and two-qubit gate
                      (iswap and cz) transitions in two different two-qubit
                      systems. For this purpose we consider three different
                      systems in total: a single flux-tunable transmon and two
                      two-qubit systems. In summary, we find that a series of
                      commonly applied approximations (individually and/or in
                      combination) can change the response of a system
                      substantially, when a control pulse is applied.},
      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:000874758500004},
      doi          = {10.1103/PhysRevA.106.022615},
      url          = {https://juser.fz-juelich.de/record/916604},
}