# Quantum information processing with nuclear spins mediated by a weak-mechanically controlled electron spin

## TL;DR

This paper presents a robust scheme for nuclear-nuclear interactions mediated by a mechanically controlled NV center, enabling entangling gates and state transfer with high resilience to decoherence and positional fluctuations.

## Contribution

It introduces a novel method for indirect nuclear spin interactions via a mechanically driven NV center, enhancing robustness and control in quantum information processing.

## Key findings

- Demonstrated two-qubit entangling gates between nuclear spins.
- Achieved quantum-state transfer between two carbon nuclei.
- Scheme is robust against decoherence and insensitive to nuclear spin positions.

## Abstract

We propose a scheme to achieve nuclear-nuclear indirect interactions mediated by a mechanically driven nitrogen-vacancy (NV) center in diamond. Here we demonstrate two-qubit entangling gates and quantum-state transfer between two carbon nuclei. When dipole-dipole interaction strength is much larger than the driving field strength, the scheme is robust against decoherence caused by coupling between the NV center (nuclear spins) and the environment. Conveniently, precise control of dipole coupling is not required so this scheme is insensitive to fluctuating positions of the nuclear spins and the NV center. Our scheme provides a general blueprint for multi-nuclear-spin gates and for multi-party communication.