Quantum state transfer through a spin chain in two non-Markovian baths

Transfer of quantum states through spin chain system has been discussed a lot. However, the interaction of the system with a noisy environment needs to be considered for practical quantum information processing tasks. Here, we study a model where the two ends of the spin chain are independently immersed in two bosonic baths. Using the quantum state diffusion (QSD) equation approach, we obtain the master equation of the system. Assuming a noise-independent O operator associated with the QSD equation, we numerically calculate the fidelity evolution for two models of system-bath interactions: dephasing model and dissipation model. For these two models, our calculation shows that the existence of the baths always lowers the fidelity, but the non-Markovianity from the baths can be useful for enhancing the state transfer fidelity. Our investigation takes one step toward practical quantum communication through a spin system.