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| Home > Publications database > Practical Methods for Efficient Analytical Control in Superconducting Qubits |
| Book/Dissertation / PhD Thesis | FZJ-2025-01703 |
2025
Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag
Jülich
ISBN: 978-3-95806-807-0
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Please use a persistent id in citations: urn:nbn:de:0001-2503171107453.419403121030 doi:10.34734/FZJ-2025-01703
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.
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