Fig. 1. Two spins in a common heat bath

Fig. 2. The Influence of spin-squeezing effects, environmental memory and noise on the fidelity of quantum state transfer. (a) Different spin squeezing effects,γ=0.5,Γ=0.005; (b) different environmental memory effects,μ=0.5,Γ= 0.005; (c) different noise intensities,γ= 0.5,μ=0.5

Fig. 3. The Influence of temperature and the external magnetic field on the fidelity of quantum state transfer. (a) Different temperatures; (b) different external magnetic fields

Fig. 4. Effects of three interaction models in different environments on the fidelity of quantum state transfer. (a) Markovian environment; (b) non-Markovian environment