Fast state transfer in a {\Lambda}-system: a shortcut-to-adiabaticity approach to robust and resource optimized control
Abstract
We propose an efficient strategy to find optimal control functions for state-to-state quantum control problems. Our procedure first chooses an input state trajectory, that can realize the desired transformation by adiabatic variation of the system Hamiltonian. The shortcut-to-adiabaticity (STA) formalism then provides a control Hamiltonian that realizes the reference trajectory exactly but on a finite time scale. As the final state is achieved with certainty, we define a cost functional that incorporates the resource requirements and a perturbative expression for robustness. We optimize this functional by systematically varying the reference trajectory. We demonstrate the method by application to population transfer in a laser driven three-level {\Lambda}-system, where we find solutions that are fast and robust against perturbations while maintaining a low peak laser power.
Cite
@article{arxiv.1710.04505,
title = {Fast state transfer in a {\Lambda}-system: a shortcut-to-adiabaticity approach to robust and resource optimized control},
author = {Henrik Lund Mortensen and Jens Jakob W. H. Sørensen and Klaus Mølmer and Jacob Friis Sherson},
journal= {arXiv preprint arXiv:1710.04505},
year = {2018}
}