Entanglement and Fidelity of Quantum Teleportation in Heisenberg XXZ Model with Multiple Interactions

In this paper, we considered the two-qubit Heisenberg XXZ model with Dzyaloshinski-Moriya (DM) interaction under the Calogero-Moser model type I, where each spin is affected by the homogeneous and inhomogeneous magnetic field. Assuming that the initial state of the system is , we examined the effects of the relative distance between spins, intrinsic decoherence, magnetic field, DM interaction and the parameters of the initial state of the system on the dynamics of quantum entanglement. The results showed that by increasing the relative distance between the spins, the entanglement decreased. In addition, by applying the inhomogeneous magnetic field in the presence of DM interaction, the effect of intrinsic decoherence on entanglement dynamics could be observed. We also used the two-qubit Heisenberg XXZ model density matrix in the presence of intrinsic decoherence as a quantum channel to teleport the quantum states from the sender to the receiver. Using the fidelity measure, we studied the effect of the different parameters on the quality of the teleported quantum state. We observed that by applying the inhomogeneous magnetic field and in the presence of the DM interaction, the average fidelity is larger than the minimum of the average fidelity i.e.,