We consider the teleportation of quantum information consisting of the quantum state of a set S1 of N two-level systems (TLSs), using EPR entangled state consisting of set S2 ⊕ S3 where set S2 has M TLSs and set S3 has N TLSs. The Bell state measurement is done on set S1 ⊕ S2 and a unitary transformation, dependent on this result, on the quantum state of set S 3 generates a replica of the original state of set S1. We show rigorously that the teleportation is possible only if M ≥ N. © World Scientific Publishing Company.