Multi-party bidirectional teleportation through squeezed noisy channels

In this paper, we investigate the squeezing and the decoherence effect on the multi-part bidirectional quantum teleportation (Mb-QT) of single qubit states. We consider three realistic situations: first, the squeezed generalized amplitude damping (SGAD) channel affects the entangled channel of the Mb-QT protocol; secondly, the initial states are affected by SGAD. Thirdly, SGAD affects the entangled channel and the initial states at the same time. We evaluate the geometric means of the bipartite concurrences, as a monotonic measure of entanglement, and the teleportation fidelity. Our results show that these quantities are independent of the squeezing parameter. Furthermore, increasing the number of thermal photons amplifies the entanglement and increases the efficiency of teleportation in the first situation. However, in the last two situations, an increase in the number of thermal photons decreases the teleportation fidelity.