Joint remote state preparation of an arbitrary single-qutrit state in noisy environment

In this paper, a joint remote state preparation scheme for an arbitrary single-qutrit state is proposed. First, we introduce how to remotely prepare an arbitrary single-qutrit state in the ideal environment with the form of the density operator. Then we investigate the effects of four typical types of 3D Pauli-like noises corresponding to the Weyl operators: the trit-flip, the t-phase-flip, the trit-phase-flip and the t-depolarising in the ideal environment. For each type of noise, we calculate and analyse the results of fidelity. The results show that when the trit-flip, the trit-phase-flip and the t-depolarising noises are considered, the fidelity is related to the noise factor and all the coefficients of the target state. However, when the t-phase-flip noise is considered, the fidelity is only related to the noise factor and the amplitude coefficients of the target state.