# Quantum state transfer via acoustic edge states in a 2D optomechanical array

## TL;DR

This paper introduces a hybrid platform combining solid-state spin qubits with topological acoustic edge states in a 2D optomechanical array, enabling high-fidelity, unidirectional quantum state transfer in topological quantum networks.

## Contribution

It proposes a new method for quantum state transfer using topological acoustic edge states in a 2D optomechanical array with potential for robust quantum networks.

## Key findings

- High-fidelity unidirectional quantum state transfer demonstrated.
- Robust acoustic edge states serve as chiral phononic waveguides.
- Implementation feasible in diamond-based optomechanical crystals.

## Abstract

We propose a novel hybrid platform where solid-state spin qubits are coupled to the acoustic modes of a two-dimensional array of optomechanical nano cavities. Previous studies of coupled optomechanical cavities have shown that in the presence of strong optical driving fields, the interplay between the photon-phonon interaction and their respective inter-cavity hopping allows the generation of topological phases of sound and light. In particular, the mechanical modes can enter a Chern insulator phase where the time-reversal symmetry is broken. In this context, we exploit the robust acoustic edge states as a chiral phononic waveguide and describe a state transfer protocol between spin qubits located in distant cavities. We analyze the performance of this protocol as a function of the relevant system parameters and show that a high-fidelity and purely unidirectional quantum state transfer can be implemented under experimentally realistic conditions. As a specific example, we discuss the implementation of such topological quantum networks in diamond based optomechanical crystals where point defects such as silicon-vacancy centers couple to the chiral acoustic channel via strain.