Quantum teleportation over hyper entangled states

Teleportation is a well known protocol to transfer one qubit between users sharing a Bell pair. By treating teleportation as a transfer of qubits between end users sharing a virtual quantum channel, we derive the maximum coherent information of this virtual quantum channel under noisy classical channel existing between the end users. We also study various communication scenarios using hyper entangled states and quantify the advantages over a single degree of freedom.