Quantum teleportation is the fundamental communication unit in quantum communication. Here, a three-level system is selected for storing and transmitting quantum information, due to its unique advantages, such as lower cost than a higher-level system and higher capacity and security than a two-level system. It is known that the key procedure for perfect teleportation is the distribution of entanglement through quantum channel. However, amounts of noise existing in the quantum channel may interfere the entangled state, causing the degradation of quantum entanglement. In the physical implementations of quantum communication schemes, noise acting on the carriers of successive transmissions often exhibits some correlations, which is the so called quantum memory channel. In this paper, a memory channel model during the entanglement distribution phase is constructed and the uniform expression of the evolution of a two-qutrit entangled state under different kinds of correlated noise is derived. Finally, Pauli noise and amplitude damping noise as the typical noise source are considered to analyze the influence of memory effects of noise on qutrit teleportation. It is expected to show that three-level teleportation under these two types of channels can generally enhance the robustness to noise if the Markovian correlations of quantum channel are taken into consideration.

中文翻译：

---

用马尔可夫记忆增强嘈杂的 qutrit 隐形传态的鲁棒性

量子隐形传态是量子通信中的基本通信单元。在这里，选择三级系统来存储和传输量子信息，是因为它具有比高级系统成本更低、容量和安全性高于二级系统等独特优势。众所周知，完美隐形传态的关键过程是通过量子通道分布纠缠。然而，量子通道中存在的大量噪声可能会干扰纠缠态，导致量子纠缠的退化。在量子通信方案的物理实现中，作用在连续传输的载波上的噪声往往表现出一些相关性，这就是所谓的量子记忆信道。在本文中，构建了纠缠分布阶段的记忆通道模型，导出了不同相关噪声下双量子纠缠态演化的统一表达式。最后，以泡利噪声和幅度阻尼噪声为典型噪声源，分析噪声的记忆效应对qutrit隐形传态的影响。如果考虑量子通道的马尔可夫相关性，预计这两种通道下的三级隐形传态通常可以增强对噪声的鲁棒性。以泡利噪声和振幅阻尼噪声为典型噪声源，分析噪声的记忆效应对qutrit隐形传态的影响。如果考虑到量子通道的马尔可夫相关性，预计这两种通道下的三级隐形传态通常可以增强对噪声的鲁棒性。以泡利噪声和振幅阻尼噪声为典型噪声源，分析噪声的记忆效应对qutrit隐形传态的影响。如果考虑量子通道的马尔可夫相关性，预计这两种通道下的三级隐形传态通常可以增强对噪声的鲁棒性。