Geometric Phase Gates with Adiabatic Control in Electron Spin Resonance

TL;DR

This paper explores adiabatic geometric phase gates in electron spin resonance, demonstrating their robustness against microwave field inhomogeneities through simulations and experiments, especially in high-inhomogeneity scenarios.

Contribution

It provides the first detailed investigation of adiabatic geometric phase gates in electron spin resonance, highlighting their robustness compared to traditional methods.

Findings

Robustness of adiabatic geometric phase gates against microwave inhomogeneity.

Limited advantage over composite pulses for inhomogeneities <=10%.

Potential benefits in high-inhomogeneity environments.

Abstract

High-fidelity quantum operations are a key requirement for fault-tolerant quantum information processing. In electron spin resonance, manipulation of the quantum spin is usually achieved with time-dependent microwave fields. In contrast to the conventional dynamic approach, adiabatic geometric phase operations are expected to be less sensitive to certain kinds of noise and field inhomogeneities. Here, we investigate such phase gates applied to electron spins both through simulations and experiments, showing that the adiabatic geometric phase gate is indeed inherently robust against inhomogeneity in the applied microwave field strength. While only little advantage is offered over error-correcting composite pulses for modest inhomogeneities <=10%, the adiabatic approach reveals its potential for situations where field inhomogeneities are unavoidably large.