Abstract: Multi-hop remote quantum state preparation has significant value in wireless quantum communication networks and long-distance delivery of quantum information. Fusing the ideas of multi-hop teleportation and remote state preparation, this paper puts forward a novel protocol for implementing multi-hop remote arbitrary single-qubit state preparation. In each hop, it employs the three-qubit non-maximally entangled GHz-type state as the quantum channel. The original single quantum state is prepared hop by hop via intermediate nodes through remote state preparation, and the recovered qubits are used as the prepared state for the next-hop remote state preparation. By analyzing one-hop and two-hop, it obtains the successful probability of remote state preparation after [n]-hop remote state preparation. Only Pauli operations, single-qubit measurements and the feed-forward strategy are used in this protocol, so this scheme is easily realized in physical experiment.

Key words: wireless quantum communication network, multi-hop remote state preparation, three-qubit non-maximally entangled GHz state, single-qubit state, feed-forward measurement strategy

摘要： 多跳远程量子态制备在量子无线网络、长距离量子信息传输中有重要价值。融合多跳隐形传态和远程态制备的思想，提出一个多跳远程任意单量子态制备协议。在每一跳中都以三粒子非最大纠缠GHz态为量子信道，利用远程态制备方法，原始单量子态通过中间节点逐跳被制备，每跳恢复的态被用着下一跳被制备的态。通过对单跳和两跳制备的分析，获得了[n]跳制备后方案成功的概率。在协议中，仅涉及到Pauli算子、单粒子测量和前馈策略，因此该方案易于物理实现。

关键词: 无线量子通信网络, 多跳远程态制备, 三粒子非最大纠缠态, 单粒子态, 前馈策略