Optimized Dynamical Decoupling via Genetic Algorithms

TL;DR

This paper uses genetic algorithms to optimize dynamical decoupling sequences for qubits, resulting in sequences that outperform existing methods especially when considering pulse imperfections.

Contribution

The paper introduces a novel numerical optimization approach using genetic algorithms to design robust DD sequences that outperform traditional sequences under realistic pulse errors.

Findings

Optimized DD sequences outperform CDD and QDD sequences with pulse errors.

Identified deterministic structure underlying top-performing sequences.

Designed sequences that are robust against pulse imperfections.

Abstract

We utilize genetic algorithms to find optimal dynamical decoupling (DD) sequences for a single-qubit system subjected to a general decoherence model under a variety of control pulse conditions. We focus on the case of sequences with equal pulse-intervals and perform the optimization with respect to pulse type and order. In this manner we obtain robust DD sequences, first in the limit of ideal pulses, then when including pulse imperfections such as finite pulse duration and qubit rotation (flip-angle) errors. Although our optimization is numerical, we identify a deterministic structure underlies the top-performing sequences. We use this structure to devise DD sequences which outperform previously designed concatenated DD (CDD) and quadratic DD (QDD) sequences in the presence of pulse errors. We explain our findings using time-dependent perturbation theory and provide a detailed scaling analysis of the optimal sequences.