Effect of noise on joint remote preparation of an arbitrary two-qubit state via a Brown state

We present a scheme to realize joint remote state preparation (JRSP) of an arbitrary two-qubit state via a seven-qubit Brown state which is subjected to the noisy environment. Two basic noise models, the amplitude-damping noise and the phase-damping noise, are considered. The noise only affects the transmitted qubits of the quantum channel in our protocol. We put forward the detailed processes of JRSP protocol with these two kinds of noise. It is found out that the fidelities for both kinds of noise depend on the decoherence noisy rate and the amplitude factor of the prepared state. Interesting, the effect of phase-damping noise is much stronger than that of the amplitude-damping noise. Our study will contribute to the research on the effect of quantum noise for JRSP.