Arbitrarily Accurate Pulse Sequences for Robust Dynamical Decoupling

TL;DR

This paper presents universally robust pulse sequences for dynamical decoupling that compensate for pulse errors and environmental dephasing to arbitrary order, with linear growth in pulse number, outperforming existing methods and demonstrated experimentally.

Contribution

The authors introduce a new class of pulse sequences that are robust to errors and environmental effects, applicable to any pulse shape, and validated through experiments.

Findings

Sequences compensate errors to arbitrary order.

Performance surpasses existing robust sequences.

Experimental validation in solid-state optical memory.

Abstract

We introduce universally robust sequences for dynamical decoupling, which simultaneously compensate pulse imperfections and the detrimental effect of a dephasing environment to an arbitrary order, work with any pulse shape, and improve performance for any initial condition. Moreover, the number of pulses in a sequence grows only linearly with the order of error compensation. Our sequences outperform the state-of-the-art robust sequences for dynamical decoupling. Beyond the theoretical proposal, we also present convincing experimental data for dynamical decoupling of atomic coherences in a solid-state optical memory.