Study of thermal entanglement teleportation via two qubits Heisenberg interaction in Jaynes-Cummings model

In this paper, we study a system consisting of two two-level atoms under XXX and XYZ Heisenberg interaction coupled with optical cavity. Calculating Hamiltonian of two-qubit Heisenberg interaction in the presence of electromagnetic field in Jaynes-Cummings model, we obtain the density matrix of the system by Gibbs equation in the thermal equilibrium. Assuming an arbitrary pure state as input state in the quantum channel, we obtain the output state for the system under the thermal equilibrium. The result of our study shows, as the temperature increases as the entanglement decreases until it reaches to zero and the fidelity decreases until it reaches to a steady amount. Also, we have found that the assumed model is a suitable system for transmitting quantum information with high efficiency..