Fast Phase-manipulation of the Single Nuclear Spin in Solids by Rotating Fields

TL;DR

This paper introduces a rapid method for manipulating the phase of single nuclear spins in solid-state systems using rotating fields, significantly reducing gate times and enhancing robustness against errors.

Contribution

It presents a novel fast phase-gate technique based on geometric phase shifts induced by rotating fields, applicable to nitrogen-vacancy centers in diamond.

Findings

Gate time is inversely proportional to the slow rotating field's frequency.

Phase-gate times are orders of magnitude shorter than previous methods.

The method demonstrates robustness against decoherence and systematic errors.

Abstract

We propose fast phase-gates of single nuclear spins interacting with single electron spins. The gate operation utilizes geometric phase shifts of the electron spin induced by fast/slow rotating fields; the path difference depending on nuclear spin states enables nuclear phase shifts. The gate time is inversely proportional to the frequency of the slow rotating field. As an example, we use nitrogen-vacancy centers in diamond, and show the phase-gate time orders of magnitude shorter than previously reported. We also show the robustness of the gate against decoherence and systematic errors.