Robust Dynamical Decoupling for the Manipulation of a Spin Network via a Single Spin

TL;DR

This paper combines robust optimal control with dynamical decoupling to enhance the manipulation of spin networks, significantly improving robustness against errors in quantum systems like NV centers.

Contribution

It introduces a novel method integrating ROC with DD sequences, leading to superior robustness in quantum control compared to existing techniques.

Findings

ROC-based DD sequences outperform state-of-the-art robust DD sequences

Method improves robustness against multiple error channels

Demonstrated effectiveness in NV center spin systems

Abstract

High-fidelity control of quantum systems is crucial for quantum information processing, but is often limited by perturbations from the environment and imperfections in the applied control fields. Here, we investigate the combination of dynamical decoupling (DD) and robust optimal control (ROC) to address this problem. In this combination, ROC is employed to find robust shaped pulses, wherein the directional derivatives of the controlled dynamics with respect to control errors are reduced to a desired order. Then, we incorporate ROC pulses into DD sequences, achieving a remarkable improvement of robustness against multiple error channels. We demonstrate this method in the example of manipulating nuclear spin bath via an electron spin in the NV center system. Simulation results indicate that ROC based DD sequences outperform the state-of-the-art robust DD sequences. Our work has implications for robust quantum control on near-term noisy quantum devices.