Remote Preparation of Arbitrary Two-Particle Quantum State in Noisy Environments

A scheme is proposed for the remote preparation of an arbitrary two-particle quantum state by using two nonmaximally entangled states as the quantum channel. The effects of the environment noise on the quantum channels are considered, in which the time-evolution is ruled by the master equations of the density matrices in the Lindblad form. We investigated the influence of environment noise on the fidelities of the remote state preparation based on three types of quantum channels. It is found that the output state of remote state preparation, as time goes on, has a higher fidelity in the case of the quantum channel consists of |01) and |10) basis than that of |00) and |11) basis. Furthermore, the results also demonstrate that the fidelity is proportional to the product of both situations above when the quantum channel consists of the mixture basis, and its value is between of them.