Indirect Control of the $\rm {}^{29}SiV^{-}$ Nuclear Spin in Diamond

TL;DR

This paper proposes a theoretical method for high-speed, megahertz control of the $^{29}$Si nuclear spin in diamond using indirect electron spin-orbit effects, enabling faster quantum information processing.

Contribution

It introduces a novel indirect control technique leveraging spin-orbit effects for rapid nuclear spin manipulation in diamond-based quantum systems.

Findings

Demonstrates potential for megahertz control rates

Highlights impact of nuclear precession frequency on gate times

Suggests feasibility of all-optical nuclear spin control

Abstract

Coherent control and optical readout of the electron spin of the $^{29}$SiV$^{-}$ center in diamond has been demonstrated in literature, with exciting prospects for implementations as memory nodes and spin qubits. Nuclear spins may be even better suited for many applications in quantum information processing due to their long coherence times. Control of the $^{29}$SiV$^{-}$ nuclear spin using conventional NMR techniques is feasible, albeit at slow kilohertz rates due to the nuclear spin's low gyromagnetic ratio. In this work we theoretically demonstrate how indirect control using the electron spin-orbit effect can be employed for high-speed, megahertz control of the $^{29}$Si nuclear spin. We discuss the impact of the nuclear spin precession frequency on gate times and the exciting possibility of all optical nuclear spin control.