In this paper, we propose a scheme for the multi-hop nondestructive teleportation of an arbitrary single-qudit state via channel modulation performed by one cloud node in a network. Considering the limited quantum technology of the sender, the receiver, and the ordinary intermediate nodes, we assume that there are certain cloud nodes in a quantum network equipped with quantum processing capability of performing high-dimensional multi-qudit unitary operations. In our scheme, $N$ intermediate nodes, involving one cloud node and $N - 1$ ordinary relay nodes, are connected in a chain through $N + 1$ different non-maximally entangled Bell pairs. Our scheme reduces the hardware requirement of the terminals, which makes it more flexible and adaptable in a network. In addition, our scheme enables preservation of the original single-qudit state, even if the teleportation fails. Our finding provides a methodology for the multi-hop nondestructive teleportation in a network with limited technical processing capabilities of terminals.

中文翻译：

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配备有限技术的终端节点之间的多跳无损传送

在本文中，我们提出了一种方案，该方案通过网络中一个云节点执行的信道调制，对任意单量子态进行多跳无损传输。考虑到发送方，接收方和普通中间节点的量子技术有限，我们假设量子网络中某些云节点具备执行高维多量子unit运算的量子处理能力。在我们的方案中，涉及一个云节点和$ N-1 $普通中继节点的$ N $中间节点通过$ N + 1 $链状连接。不同的非最大纠缠贝尔对。我们的方案减少了终端的硬件需求，使其在网络中更加灵活和适应。另外，即使隐形传态失败，我们的方案也能够保留原始的单态状态。我们的发现为终端技术处理能力有限的网络中的多跳无损传送提供了一种方法。