Quantum teleportation and thermal entanglement of two-scattering qubit state in graphene lattices

Abstract

This paper presents an analytical investigation of the teleportation and the thermal entanglement of two identical qubits in the ground state of graphene lattices. The elastic interaction between the two qubits is considered as a scattering process. The modified Hamiltonian and density matrix of the system were presented. The teleportation and the entanglement of two-qubit system are analyzed through the study of the average fidelity of teleportation [Formula: see text], the concurrence [Formula: see text] and the entanglement of formation [Formula: see text]. The results depend on the temperature [Formula: see text] and also on the parameters of the system as the [Formula: see text] parameter of the interaction potential and [Formula: see text] band parameter. The study shows that the teleportation and the entanglement decrease when the temperature [Formula: see text] increases but they become all the more important as the parameters [Formula: see text] and [Formula: see text] increase.