Quantum control landscape for ultrafast generation of single-qubit phase shift quantum gates
Boris O Volkov, Oleg V Morzhin, Alexander N Pechen · Journal of Physics A Mathematical and Theoretical · 2021
Abstract 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 engineering, differential evolution, and dual annealing, that control landscape for ultrafast generation of phase shift gates is free of traps.