In this paper, we propose a controlled remote state preparation scheme for a known eight-qubit entangled state. In this scheme, the sender, controller, and receiver share a six-qubit cluster state. The sender first performs a two-qubit state measurement, and the controller performs a corresponding two-qubit system measurement based on the sender’s measurement result. After receiving the measurement results from the sender and controller, the receiver can reconstruct this initial eight-qubit entangled state by using an appropriate unitary operation. This unitary operation depends on the different measurements of the sender and controller.

中文翻译：

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八量子比特纠缠态的受控远程状态准备

在本文中，我们为已知的八量子比特纠缠态提出了一种受控的远程状态准备方案。在这个方案中，发送方、控制器和接收方共享一个 6 量子比特集群状态。发送方首先进行两量子位状态测量，控制器根据发送方的测量结果进行相应的两量子位系统测量。在接收到来自发送方和控制器的测量结果后，接收方可以通过使用适当的幺正运算来重建这个初始的 8 量子比特纠缠状态。这种单一操作取决于发送器和控制器的不同测量。