Gradient Based Quantum Optimal Control in a Chopped Basis

Jens Jakob Sørensen, Mikel Aranburu, Till Heinzel, Jacob Friis Sherson · arXiv (Cornell University) · 2018

We propose a quantum optimal control algorithm that performs a gradient descent in a reduced basis named GRadient Optimization Using Parametrization (GROUP). We compare this optimization algorithm to the other state-of-the-art algorithms in quantum control namely, Gradient-Ascent Pulse Engieering (GRAPE), Krotov's method and Nelder-Mead using Chopped Random Basis (CRAB). We find that GROUP converges much faster than Nelder-Mead with CRAB and achieves better results than GRAPE and Krotov's method on the control problem presented here.

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