In this paper we design a deterministic controllable quantum communication protocol for remotely preparing three-qubit GHZ-type and four-qubit W-type entangled states at two different locations at the same time. Two parties (the preparers) along with a third party (the controller) are connected through a proper multipartite entangled resource. The states to be prepared are not physically available, only the classical information of each state is known by a party who intends to remotely prepare it at the end of the other party under the same control of a third party. Concretely, it is a multi-tasking protocol in which remote preparations of the two inequivalent states are accomplished not only simultaneously but also controllably through execution of a single protocol by utilizing an eleven-qubit entangled state as shared quantum resource. We also propose a generation process of the multipartite quantum resource used.

中文翻译：

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共同控制下不等价量子态的双向远程制备

在本文中，我们设计了一种确定性可控量子通信协议，用于同时在两个不同位置远程准备三量子比特 GHZ 型和四量子比特 W 型纠缠态。两方（准备者）和第三方（控制者）通过适当的多方纠缠资源连接。要准备的状态在物理上是不可用的，只有每个状态的经典信息被打算在第三方相同控制下的另一方端远程准备它的一方知道。具体来说，它是一个多任务协议，其中两个不等价态的远程准备不仅同时完成，而且通过利用一个 11 量子比特纠缠态作为共享量子资源，通过执行单个协议可控地完成。