Remote preparation of four-qubit cluster states in noisy environment

With a cluster state as the quantum channel, we present a scheme for remote preparation of four-qubit cluster states in noisy environment. In this scheme, we firstly consider the protocol for remotely preparing any four-qubit cluster state under ideal circumstances. In the following, we put forward the scheme for remote preparation of four-qubit cluster states under the influence of four kinds of noisy channels, i.e. the bit-flip noise, the phase-damping noise, the amplitudedamping noise and the depolarizing noise. Finally, we use the fidelity to describe the distance between the output state and the desired prepared state. Without loss of generality, different types of noise have various effects on the process of the quantum remote state preparation. For the phase damping noise, the fidelity of the whole system is not affected by the phase factor for the remote state preparation, but the other three kinds of quantum noise are influenced by the phase factors. © 2017, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.