Influence of Noises on Remote State Preparation Using GHZ State

Using a quantum channel consistingof a GHZ state exposed to noisy environment, we investigate how toremotely prepare an entangled state and a qubit state, respectively.By solving the master equation in the Lindblad form, the influenceof the various types of noises on the GHZ state is first discussed.Then we use the fidelity to describe how close the remotely preparedstate and the initial state are. Our results show that the fidelityis a function of the decoherence rates and the angles of the initialstate. It is found that for each of the two RSP schemes, the influence of the noise acting simultaneously in x, y, and z directions on the average fidelity is the strongest while the influence of the noise acting in x or z direction on the average fidelity isrelatively weaker.