Optimal tripartite quantum teleportation protocol through noisy channels

In this paper we propose a tripartite teleportation protocol to teleport an unknown quantum state via noisy quantum channels with fidelity equal to one even with a non-maximally entangled state. In our protocol we utilize environment-assisted measurement during entanglement distribution and further modify the standard teleportation protocol to apply weak measurement reversal in the last step of teleportation. We design the weak measurement reversal operators to make the teleportation fidelity equal to one, independent of the magnitude of decoherence or the shared entangled state parameters. Since the teleportation fidelity is always equal to one, we can optimize the teleportation success probability without affecting the fidelity. Moreover, we give the detailed procedure of the standard tripartite teleportation protocol in the presence of amplitude damping and derive the final expression of the average standard teleportation fidelity.