The implementation of quantum entangling gates between qubits is essential to achieve scalable quantum computation. Here, we propose a robust scheme to realize an entangling gate for distant solid-state spins via a mechanical oscillator in its thermal equilibrium state. By appropriate Hamiltonian engineering and usage of a protected subspace, we show that the proposed scheme is able to significantly reduce the thermal effect of the mechanical oscillator on the spins. In particular, we demonstrate that a high entangling gate fidelity can be achieved even for a relatively high thermal occupation. Our scheme can thus relax the requirement for ground-state cooling of the mechanical oscillator, and may find applications in scalable quantum information processing in hybrid solid-state architectures.
@article{arxiv.1710.01455,
title = {Entangling distant solid-state spins via thermal phonons},
author = {Puhao Cao and Ralf Betzholz and Shaoliang Zhang and Jianming Cai},
journal= {arXiv preprint arXiv:1710.01455},
year = {2018}
}