This study proposes a remote state preparation scheme using a five-qubit cluster state as the quantum channel. In this scheme, Alice can prepare an arbitrary two-qubit entangled state on Bob's side using only some local operations and classical communications. The scheme is first described in an ideal environment, and the corresponding quantum circuit is given. An investigation of the scheme in the amplitude-damping noise and collective-dephasing noise, and an analysis of their influence on the scheme are carried out by calculating the fidelity of the output state. Moreover, the study takes full advantage of the weak measurement and reversing measurement to enhance the fidelity in the amplitude-damping noise, and constructing a decoherence-free subspace to suppress the collective-dephasing noise. The findings indicate that the schemes can provide higher fidelity in the amplitude-damping noise and collective-dephasing noise.
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