Bi-directional controlled asymmetric teleportation protocol initiated by a mentor in noisy environments

Abstract

Abstract In this paper we consider the problem of the bidirectional state transfer of a 2-qubit and a 3-qubit quantum state unknown to the parties, respectively, who intend to send the respective states in the site of the other party. These states are intended for transfer but are not possessed by the intender. The protocol has a Mentor whose role is in the fabrication of entangled channels, distribution of qubits through the noisy environment in order to create entanglement sharing and finally fixing one of the several courses of the protocol. The role of the Mentor is thereby completed. The protocol is overseen by a controller whose action signals the final steps to be taken in the protocol. Three types of noises are considered through three different Kraus operators. There is an analysis of the fidelity of the protocol corresponding to three types of noises.