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Quantum communication is one of the cutting-edge research areas today, wherethe scheme of Remote State Preparation (RSP) has caught significant attentionof researchers. A number of different schemes of RSP have already been proposedso far. We propose here a hierarchical RSP protocol for sending a two-qubitentangled state using a seven-qubit highly entangled state derived from Brownet al. state. We have also studied here the effects of two well known noisemodels namely amplitude damping (AD) and phase damping (PD) that affect thequantum communication channel used for the protocol. An investigation on thevariation of fidelity of the state with respect to the noise operator and thereceiver is made. PD noise is found to affect the fidelity more than the ADnoise and the higher power receiver, obtains the state with higher fidelitythan the lower power receiver under the effect of noise. To the best of ourknowledge, we believe that we have achieved the highest fidelity for the higherpower receiver, 0.89 in the presence of maximum AD noise and 0.72 in thepresence of maximum PD noise, compared to all the previously proposed RSPprotocols in noisy environments. The study of noise is described in a verypedagogical manner for better understanding of the application of noise modelsto a communication protocol.

Deterministic hierarchical remote state preparation of a two-qubit entangled state using Brown et al. state in a noisy environment