Thermal Teleportation of Accelerated Information Via XXX Two-Qubit Heisenberg Chain in the Presence of an Asymmetric External Magnetic Field with Long-Range Interaction

In this investigation, thermal teleportation of an accelerated entangled state by an XXX two-qubit Heisenberg chain as a quantum channel is studied. We suppose the quantum channel in the presence of a non-uniform external magnetic field and with a long-range interaction. In order to investigate the quality of the quantum teleportation, trace distance of the input and output states is studied. It is observed that for small values of the magnetic field and spin distance, even though the entanglement of the input and output states is a decreasing function of the acceleration parameter, but the trace distance of these states remains zero independent of the acceleration parameter. Moreover, at a constant temperature, for both inertial and non-inertial observers, if the external magnetic field and spin distance are less than a critical value, they have no effect on the entanglement of the output state, but if they reach a critical value, the entanglement teleportation becomes zero and causes the loss of teleportation. In addition, these critical values ​​become smaller with the increase of the temperature. Furthermore, the asymmetry of the magnetic field can cause the appearance of the entanglement in the output state of a ferromagnetic channel. Also, if the distance between the spins is small, increasing temperature has no effect on the entanglement and the teleportation quality.