A bidirectional quantum remote state preparation scheme and its performance analysis in noisy environments

Quantum teleportation is a technique for allowing one party to transfer an unknown state to the other party some distance away. Different types of teleportation, including bidirectional teleportation have been proposed so far. The bidirectional protocol, plays a key role to improve the security and the efficiency of the quantum cryptographic schemas. Another branch of quantum communication is called quantum remote state preparation. Quantum remote state preparation is similar to the teleportation in terms of transferring a quantum state without physically sending it on the quantum channel. However, the difference is that in the latter, the state is known for the sender. In this research, a new bidirectional quantum remote state preparation protocol is proposed, where each party transfers a two-qubit state to each other simultaneously. The efficiency of this protocol is better than the previous ones. In addition, the effects of noise on the performance of the protocol are examined extensively. We estimate and analyze the fidelity of the protocol in a noisy environment with amplitude and phase damping noises.