A new way to accelerate the D-MORPH method to search for optimal quantum control

TL;DR

This paper proposes an enhanced D-MORPH method for quantum control optimization by incorporating derivative corrections, leading to faster and more accurate search for optimal control sequences.

Contribution

It introduces higher-order derivative corrections based on the exponential map's full form, improving the efficiency of the D-MORPH method for quantum system control.

Findings

Faster convergence in optimal quantum control searches.

Improved accuracy over previous D-MORPH versions.

Effective use of Hamiltonian commutator information.

Abstract

The paper introduces new corrections of different orders of smallness to the D-MORPH method by using the full form of the derivative of the exponential map, defined on a Lie algebra, to search for the optimal control of a quantum system that implements a desired unitary evolution. The inclusion of such corrections, which take into account information about different system Hamiltonian's commutators, results in faster optimal control's finding, even compared to the improved version of the method published earlier by the author.