Hessian-based optimization of constrained quantum control [article]

Mogens Dalgaard and Felix Motzoi and Jesper Hasseriis Mohr Jensen and Jacob Sherson
2020 arXiv   pre-print
Efficient optimization of quantum systems is a necessity for reaching fault tolerant thresholds. A standard tool for optimizing simulated quantum dynamics is the gradient-based grape algorithm, which has been successfully applied in a wide range of different branches of quantum physics. In this work, we derive and implement exact 2^nd order analytical derivatives of the coherent dynamics and find improvements compared to the standard of optimizing with the approximate 2^nd order bfgs. We
more » ... rate performance improvements for both the best and average errors of constrained unitary gate synthesis on a circuit-qed system over a broad range of different gate durations.
arXiv:2006.00935v2 fatcat:hx4hn54myvbynfrzbmwmimikbu