Global optimization for quantum dynamics of few-fermion systems

TL;DR

This paper uses global optimization techniques to determine the fastest possible control protocols for preparing quantum states in few-fermion systems, significantly reducing ramping time while maintaining high fidelity.

Contribution

It introduces two global optimization methods to estimate quantum speed limits and optimize control fields for few-fermion systems in a harmonic trap.

Findings

Achieved over fourfold reduction in ramping time compared to linear methods.

Demonstrated robustness of optimized control fields to small variations.

Estimated quantum speed limits for state preparation in few-fermion systems.

Abstract

Quantum state preparation is vital to quantum computation and quantum information processing tasks. In adiabatic state preparation, the target state is theoretically obtained with nearly perfect fidelity if the control parameter is tuned slowly enough. As this, however, leads to slow dynamics, it is often desirable to be able to do processes faster. In this work, we employ two global optimization methods to estimate the quantum speed limit for few-fermion systems confined in a one-dimensional harmonic trap. Such systems can be produced experimentally in a well controlled manner. We determine the optimized control fields and achieve a reduction in the ramping time of more than a factor of four compared to linear ramping. We also investigate how robust the fidelity is to small variations of the control fields away from the optimized shapes.