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@PHDTHESIS{Lagemann:1016754,
      author       = {Lagemann, Hannes},
      title        = {{R}eal-time simulations of transmon systems with
                      time-dependent {H}amiltonian models},
      volume       = {56},
      school       = {RWTH Aachen University},
      type         = {Dissertation},
      address      = {Jülich},
      publisher    = {Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag},
      reportid     = {FZJ-2023-03740},
      isbn         = {978-3-95806-720-2},
      series       = {Schriften des Forschungszentrums Jülich IAS Series},
      pages        = {iii, 166, XXX},
      year         = {2023},
      note         = {Dissertation, RWTH Aachen University, 2023},
      abstract     = {In this thesis we study aspects of Hamiltonian models which
                      can affect the time evolution of transmon systems. We model
                      the time evolution of various systems as a unitary real-time
                      process by numerically solving the timedependent
                      Schrödinger equation (TDSE). We denote the corresponding
                      computer models as non-ideal gate-based quantum computer
                      (NIGQC) models since transmons are usually used as transmon
                      qubits in superconducting prototype gate-based quantum
                      computers (PGQCs). We first review the ideal gate-based
                      quantum computer (IGQC) modeland provide a distinction
                      between the IGQC, PGQCs and the NIGQC models we consider in
                      this thesis. Then, we derive the circuit Hamiltonians which
                      generate the dynamics of fixed-frequency and flux-tunable
                      transmons. Furthermore, we also provide clear and concise
                      derivations of effective Hamiltonians for both types of
                      transmons. ...},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {899 - ohne Topic (POF4-899)},
      pid          = {G:(DE-HGF)POF4-899},
      typ          = {PUB:(DE-HGF)3 / PUB:(DE-HGF)11},
      doi          = {10.34734/FZJ-2023-03740},
      url          = {https://juser.fz-juelich.de/record/1016754},
}