The high-dimensional quantum system greatly improve the quantum channel capacity and information storage space, and achieve high-dimensional quantum information transmission, which enhance the speed of quantum computing and quantum information processing. In this paper, a high-dimensional quantum teleportation protocol without information loss is proposed. We consider pre-sharing a high-dimensional non-maximum entangled state as a quantum channel between sender and receiver. By adding auxiliary particle and performing high-dimensional local operations, it is possible to achieve high-dimensional quantum teleportation without information loss. Simultaneously, we apply the protocol to butterfly network, and propose a novel high-dimensional quantum network coding based on prediction mechanism. In our scheme, we use Z-{|0⟩, |1⟩} basis to predict the transmission of high dimensional states over the butterfly network. When the prediction is successful, the deterministic transmission of high-dimensional quantum states can be realized over the butterfly network. Our scheme greatly saves the usage of quantum and classical channels, which improves the utilization efficiency of both channels.

高维量子系统极大地提高了量子通道容量和信息存储空间，实现了高维量子信息传输，提高了量子计算和量子信息处理的速度。本文提出了一种无信息丢失的高维量子隐形传态协议。我们考虑预先共享一个高维非最大纠缠态作为发送方和接收方之间的量子通道。通过添加辅助粒子和进行高维局部操作，可以在不丢失信息的情况下实现高维量子隐形传态。同时，我们将该协议应用于蝴蝶网络，并提出了一种基于预测机制的新型高维量子网络编码。在我们的方案中，我们使用Z-{|0⟩, |1⟩} 基础来预测蝴蝶网络上高维状态的传输。当预测成功时，可以通过蝴蝶网络实现高维量子态的确定性传输。我们的方案大大节省了量子信道和经典信道的使用，提高了两种信道的利用效率。