Errors in quantum optimal control and strategy for the search of easily implementable control pulses

TL;DR

This paper presents a new method to evaluate and design quantum control pulses that are easier to implement experimentally while maintaining acceptable error levels, applicable to both solvable and numerically solvable models.

Contribution

A novel approach to estimate control errors and generate near-optimal, experimentally feasible control pulses for quantum systems.

Findings

Method successfully applied to exactly solvable models.

Effective in the Landau-Zener model with numerical solutions.

Provides control pulses within predefined error thresholds.

Abstract

We introduce a new approach to assess the error of control problems we aim to optimize. The method offers a strategy to define new control pulses that are not necessarily optimal but still able to yield an error not larger than some fixed a priori threshold, and therefore provide control pulses that might be more amenable for an experimental implementation. The formalism is applied to an exactly solvable model and to the Landau-Zener model, whose optimal control problem is solvable only numerically. The presented method is of importance for applications where a high degree of controllability of the dynamics of quantum systems is required.