Thermal entanglement and teleportation in a two-qubit Heisenberg XXZ chain with different Dzyaloshinskii–Moriya interactions

We study the thermal output entanglement and teleportation in a two qubit Heisenberg XXZ chain with different Dzyaloshinskii–Moriya (DM) interactions. The analytical expressions of the output entanglement and the average fidelity are obtained for this model. We find the entanglement of replica states will be induced by some large value of Dz and the output entanglement exists for the case of Jz < − 1. The influences of the different DM interactions on the fidelity of teleportation are studied. We show that by introducing the x-component DM interaction, the average fidelity FA can reach its maximum value 1.

Research Highlights
► We compare the Dx interaction with Dz interaction on the effects of teleportation.
► We obtained analytical expressions of entanglement and fidelity for this model.
► We get optimal entanglement teleportation (FA≈1) for certain values of parameters.