Robustness of a teleported state influenced by dipole interaction and magnetic field under intrinsic decoherence

Abstract

A pair of entangled states is teleported through a class of a two-qubit XYZ-Heisenberg chain model in the presence of dipole–dipole interaction and magnetic field. The exact solution of the teleportation channel is obtained via using the intrinsic decoherence master equation. The dynamics of the teleported entanglement, quantum steering, and degree of non-locality are studied. It is found that the setting parameter of the input state plays a central role in the robustness of quantum correlations, where these correlations increase as the input state exists maximally entangled state. The increase in strength of the channel’s parameters restrains the three kinds of quantum correlations, where the small values of dipole–dipole, magnetic field, and decoherence parameters improve the quantum correlation of teleported state. The hierarchy of the three quantum correlations is satisfied for small values of channel parameters, while entanglement, steering, and non-locality are significantly identical at large values of these parameters.