Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates

@article{Volkov2021QuantumCL,
  title={Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates},
  author={Boris O Volkov and O. V. Morzhin and Alexander N. Pechen},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2021},
  volume={54}
}
Mathematical analysis of quantum control landscapes, which aims to prove either absence or existence of traps for quantum control objective functionals, is an important topic in quantum control. In this work, we provide a rigorous analysis of quantum control landscapes for ultrafast generation of single-qubit quantum gates and show, combining analytical methods based on a sophisticated analysis of spectrum of the Hessian, and numerical optimization methods such as gradient ascent pulse… 
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