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@PHDTHESIS{Li:1038892,
      author       = {Li, Boxi},
      title        = {{P}ractical {M}ethods for {E}fficient {A}nalytical
                      {C}ontrol in {S}uperconducting {Q}ubits},
      volume       = {290},
      school       = {Köln},
      type         = {Dissertation},
      address      = {Jülich},
      publisher    = {Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag},
      reportid     = {FZJ-2025-01703},
      isbn         = {978-3-95806-807-0},
      series       = {Schriften des Forschungszentrums Jülich Reihe
                      Schlüsseltechnologien / Key Technologies},
      pages        = {202},
      year         = {2025},
      note         = {Dissertation, Köln, 2024},
      abstract     = {Quantum technology is at the forefront of revolutionizing
                      information processing by exploiting the principles of
                      quantum mechanics to perform operations infeasible for its
                      classical counterparts. As this field shifts from pure
                      scientific exploration to practical application, developing
                      advanced quantum control techniques becomes critical for
                      precise and reliable quantum system manipulation. This
                      thesis focuses on analytical quantum control techniques to
                      enhance the performance of superconducting qubits, a leading
                      architecture in quantum information processing. Due to their
                      simplicity and efficiency, the model-based analytical
                      methods discussed are particularly advantageous for
                      experimental integration. The thesis covers three aspects of
                      quantum control: system modelling, control scheme design,
                      and performance benchmarking. It starts by discussing the
                      efficient modelling of quantum systems, aiming to reduce the
                      dimension of the model while keeping the essential features
                      of the dynamics. Here, to build more accurate and efficient
                      models, the traditional perturbative approach is generalized
                      by adopting the recursive structure and the exact
                      diagonalization of a two-by-two matrix via Givens rotation.
                      Building upon these modelling methods, the thesis addresses
                      the dynamic control errors in quantum operations, including
                      leakage, crosstalk, and other control errors in
                      superconducting qubits. Based on the Derivative Removal by
                      Adiabatic Gate (DRAG) framework, several applications are
                      studied for two-qubit gates, multi-level qudit, and
                      inter-qubit crosstalk. The key insight is to use the
                      recursive formulation, which allows the integration of
                      multiple DRAG corrections to address different errors
                      simultaneously while maintaining simplicity and practicality
                      for experimental calibration. Lastly, to validate the
                      performance of control methods, the thesis introduces a new
                      simulation tool for quantum circuits at the pulse level,
                      based on the widely used software package Quantum Toolbox in
                      Python (QuTiP). This tool incorporates realistic control
                      errors and dissipation, aiding in the design, testing, and
                      practical implementation of quantum control strategies in
                      real-world settings.},
      cin          = {PGI-8},
      cid          = {I:(DE-Juel1)PGI-8-20190808},
      pnm          = {5221 - Advanced Solid-State Qubits and Qubit Systems
                      (POF4-522) / BMBF 13N16149 - QSolid (BMBF-13N16149)},
      pid          = {G:(DE-HGF)POF4-5221 / G:(DE-Juel1)BMBF-13N16149},
      typ          = {PUB:(DE-HGF)3 / PUB:(DE-HGF)11},
      urn          = {urn:nbn:de:0001-2503171107453.419403121030},
      doi          = {10.34734/FZJ-2025-01703},
      url          = {https://juser.fz-juelich.de/record/1038892},
}