Deterministic Remote Preparation via the χ State in Noisy Environment

We have proposed two deterministic remote state preparation schemes via the χ state as the entangled channel in ideal environment. In this paper, we re-investigate the schemes in seven types of noises: amplitude-damping, phase-damping, Pauli (bit-flip, phase-flip, bit-phase flip, depolaring) and collective dephasing noise. The fidelity is used to measure how close the output state with the initial state are. It is found that the fidelities are dependent on the amplitude factor, phase factor and noise parameter. Interestingly, the fidelity is irrelated to the participators’ measurement results except in the amplitude-damping and collective dephasing noise. When the prepared states are the specific two- and three-qubit states, the fidelity is periodic in the collective dephasing noise and monotonous in other noises. Moreover, the average fidelity and state-independent average fidelity are calculated to quantify the effect of noise. Among the amplitude-damping, phase-damping and Pauli noises, the Pauli noise has the greatest impact and the phase-damping noise has the smallest impact.