Fig. 1. Schematic of coupling between double electric spins and nano-mechanical harmonic oscillator

Fig. 2. Energy levels for spin

Fig. 3. State transition

Fig. 4. Evolution of occupation. (a) Initial state |G>; (b) initial state |U>

Fig. 5. Concurrence of target state |ΦS> versus Ω. (a) γs=0; (b) γs=0.003λ

Fig. 6. Fidelity of target state |ΦS> versus γs. (a) Initial state |G>; (b) initial state |U>

Fig. 7. Fidelity and concurrence of target state |ΦS> when the introduction of damping rate γm of harmonic oscillator