Producing maximally entangled Bell type states in an efficient way for quantum teleportation

In quantum teleportation, the sender must interact her/his qubit to one of the qubits in a maximally entangled Bell/Bell-type state and as a result, a joint state is obtained. This joint state has to be rearranged in terms of the appropriate number of Bell/Bell-type states. Then the sender measures her/his qubits and sends the results via a classical channel to the receiver. According to the outcome of the measurement results, the receiver applies appropriate gates to the qubits in her/his share to recover the teleported state. Perhaps the most important step in this protocol is to be able to rewrite the joint state in terms of the appropriate number of Bell-type states. An efficient way to produce Bell-type states for quantum teleportation of an arbitrary n-qubit state is proposed. Quantum teleportation of an arbitrary three-qubit state is studied as an example.