Transitionless quantum driving in spin echo

TL;DR

This paper demonstrates how transitionless quantum driving can be used to perform rapid, accurate spin echo sequences, enhancing quantum spin control for applications like NMR and quantum computing.

Contribution

It introduces a method to implement spin echo sequences at high speed using transitionless quantum driving, enabling faster and more precise quantum spin manipulations.

Findings

High-speed spin echo sequences achieved with transitionless driving

Universal nonadiabatic geometric quantum gates demonstrated

Potential for improved quantum control in NMR and quantum info processing

Abstract

Spin echo can be used to refocus random dynamical phases caused by inhomogeneities in control fields and thereby retain the purity of a spatial distribution of quantum spins. This technique for accurate spin control is an essential ingredient in many applications, such as nuclear magnetic resonance, magnetic resonance imaging, and quantum information processing. Here, we show how all the elements of a spin echo sequence can be performed at high speed by means of transitionsless quantum driving. This technique promises accurate control of rapid quantum spin evolution. We apply the scheme to universal nonadiabatic geometric single- and two-qubit gates in a nuclear magnetic resonance setting.