Abstract
Joint remote state preparation (JRSP for short) can reduce the risk brought by one dishonest sender in remote state preparation. Unlike previous protocols that focused on JRSP under memoryless noise channels, in this paper, we study the performance of a deterministic joint remote state preparation scheme under two successive uses of Pauli channels with memory. We give general formulas quantifying the fidelity under the correlated Pauli channels. Specifically, we find that the performance of the protocol is enhanced in the correlated Pauli channel with partial memory. It means that the memory in this kind of noise channels can improve the communication efficiency of JRSP definitely.
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