By using a five-qubit entangled state as the quantum channel, we propose an efficient protocol for implementing bidirectional controlled remote preparation of arbitrary single-qubit states with unit success probability. The senders do not need to perform information splitting and additional unitary operations due to the elaborately constructed measurement basis. Furthermore, three-bit classical communication can be saved at the controller’s broadcast channel with the aid of network coding. Then, we consider the effect of five-type noises on the proposed protocol. It is found that the fidelities of the output states are dependent on the coefficients of the prepared state and the noise parameter. Interestingly, the fidelity is irrelevant to the participators’ measurement results except in the amplitude-damping and phase-damping noises.

中文翻译：

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确定性双向控制的远程准备，无需拆分信息

通过使用五量子位纠缠态作为量子通道，我们提出了一种有效的协议，用于以单位成功概率实现任意单量子位态的双向受控远程准备。由于精心构建的测量基础，发送方无需执行信息拆分和其他单一操作。此外，借助网络编码，可以在控制器的广播通道上保存三位经典通信。然后，我们考虑五种噪声对提议协议的影响。发现输出状态的保真度取决于准备状态的系数和噪声参数。有趣的是，保真度与参与者的测量结果无关，除了振幅衰减和相位衰减噪声。