Robust scheme for high-fidelity generation of mesoscopic entangled cat state

Abstract

We here study a hybrid quantum system of one solid-state electronic spin coupled to a mechanical resonator (MR) using the crystal strain, with the purpose of engineering the mesoscopic spin-phonon entangled cat state. The feature of this work to be mentioned is that it proposes a different and feasible method to achieve the entanglement, especially with the higher fidelity. This scheme mainly contains two steps, namely the coherent population trapping (CPT) initialization and large-detuning evolution (LDE). By taking all of the adverse decoherence factors into our considerations,the numerical simulations indicate that its fidelity can reach more than 0.995 (or 0.999)
when the spin-mechanical coupling strength is 10 (or 100) times larger than spin dephasing and mechanical resonator dissipation rate, respectively. Because of the cooperation of CPT and LDE, this proposal also exhibits a considerable robustness for engineering the entangled cat state, and which may be considered as a general attempt that may be suitable for different systems.