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@PHDTHESIS{Willsch:885927,
      author       = {Willsch, Dennis},
      title        = {{S}upercomputer simulations of transmon quantum computers},
      volume       = {45},
      school       = {RWTH Aachen},
      type         = {Dr},
      address      = {Jülich},
      publisher    = {Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag},
      reportid     = {FZJ-2020-04183},
      isbn         = {978-3-95806-505-5},
      series       = {Schriften des Forschungszentrums Jülich. IAS Series},
      pages        = {IX, 237 S.},
      year         = {2020},
      note         = {RWTH Aachen, Diss., 2020},
      abstract     = {We develop a simulator for quantum computers composed of
                      superconducting transmon qubits. The simulation model
                      supports an arbitrary number of transmons and resonators.
                      Quantum gates are implemented by time-dependent pulses.
                      Nontrivial effects such as crosstalk, leakage to
                      non-computational states, entanglement between transmons and
                      resonators, and control errors due to the pulses are
                      inherently included. The time evolution of the quantum
                      computer is obtained by solving the time-dependent
                      Schrödinger equation. The simulation algorithm shows
                      excellent scalability on high-performance supercomputers. We
                      present results for the simulation of up to 16 transmons and
                      resonators. Additionally, the model can be used to simulate
                      environments, and we demonstrate the transition from an
                      isolated system to an open quantum system governed by a
                      Lindblad master equation. We also describe a procedure to
                      extract model parameters from electromagnetic simulations or
                      experiments. We compare simulation results to experiments on
                      several NISQ processors of the IBM Q Experience. We find
                      nearly perfect agreement between simulation and experiment
                      for quantum circuits designed to probe crosstalk in transmon
                      systems. By studying common gate metrics such as the
                      fidelity or the diamond distance, we find that they cannot
                      reliably predict the performance of repeated gate
                      applications or practical quantum algorithms. As an
                      alternative, we find that the results from two-transmon gate
                      set tomography have an exceptional predictive power.
                      Finally, we test a protocol from the theory of quantum error
                      correction and fault tolerance. We find that the protocol
                      systematically improves the performance of transmon quantum
                      computers in the presence of characteristic control and
                      measurement errors.},
      cin          = {IAS / JSC},
      cid          = {I:(DE-Juel1)VDB1106 / I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)3 / PUB:(DE-HGF)11},
      url          = {https://juser.fz-juelich.de/record/885927},
}