Cyclic quantum teleportation of two-qubit entangled states by using six-qubit cluster state and six-qubit entangled state

Cyclic quantum teleportation schemes requires at least the existence of three collaborators acting all as senders and receivers of quantum information, each one of them has an information to be transmitted to the next neighbour in a circular manner. Here, new cyclic quantum teleportation scheme is proposed for perfectly transmitting cyclically three arbitrary unknown two-qubit states ( \(\alpha \) $\alpha$ , \(\beta \) $\beta$ and \(\gamma \) $\gamma$ ) among the three collaborators. In this scheme, Alice can send to Bob the quantum information contained in her two-qubit state \(\alpha \) $\alpha$ and receive from Charlie the quantum information contained in the two-qubit state in his possession \(\gamma \) $\gamma$ and similarly, Bob can transmit to Charlie the quantum information contained in his two-qubit state \(\beta \) $\beta$ through a quantum channel of twelve-qubit state consisting of a six-qubit cluster state and a six-qubit entangled state by sequentially and cyclically performing Bell state measurements. Subsequently, each one of the three participants can afterwards retrieve his own desired two-qubit state using classical channel and by performing appropriate unitary Pauli operators and we have shown that our proposed scheme performs efficiently.