We present a protocol for remote preparation of an arbitrary two-qudit state by using a four-qudit [Formula: see text]-type state as the quantum channel via positive operator-valued measurement. We first propose the protocol for remote preparation of an arbitrary two-qudit state via positive operator-valued measurement in noiseless environment and then discuss the protocol in noisy environments. Four important quantum decoherence noise models, the dephasing noise, the qudit-flip noise, the qudit-phase-flip noise and the depolarizing noise, are considered in our protocol. The output states and the fidelities of remote state preparation in four different types of quantum noises are presented. It is shown the protocol for remote state preparation via positive operator-valued measurement with [Formula: see text]-type state has the advantage of transmitting less particles for remote preparing an arbitrary two-qudit state. The fidelities of remote state preparation depend on the coefficients of original two-qudit state and the decoherence rates of the noise models.

中文翻译：

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噪声对使用四qudit χ型状态作为量子通道的任意二qudit状态的确定性远程制备的影响

我们提出了一种远程准备任意二qudit 状态的协议，通过使用四qudit [公式：见文本] 型状态作为量子通道，通过正算子值测量。我们首先提出了在无噪声环境中通过正算子值测量来远程准备任意二量子态的协议，然后讨论了噪声环境中的协议。在我们的协议中考虑了四种重要的量子退相干噪声模型，即相移噪声、qudit-flip 噪声、qudit-phase-flip 噪声和去极化噪声。给出了四种不同类型的量子噪声的输出状态和远程状态准备的保真度。它显示了通过 [公式：见正文]型态具有传输较少粒子的优点，用于远程准备任意二量子态。远程状态准备的保真度取决于原始二元状态的系数和噪声模型的退相干率。