论文标题
通过连续可变量子擦除通道传输信息
Information transmission with continuous variable quantum erasure channels
论文作者
论文摘要
量子容量是给定量子通道的关键功能，是该通道传输量子信息的能力上限。识别不同类型的通道，评估相应的量子能力并找到能力吸引的编码方案是量子通信理论的主要任务。离散变量中的量子通道已被大量讨论，涉及各种误差模型，而由于无限的尺寸问题，连续变量通道中的误差模型的研究较少。在本文中，我们研究了一般连续变量量子擦除通道。通过定义连续变量系统的有效子空间，我们找到了一个连续的变量随机编码模型。然后，我们在去耦理论框架中得出连续可变擦除通道的量子能力。本文的讨论填补了连续变量设置中量子擦除通道的空白，并阐明了对其他类型的连续变量量子通道的理解。
Quantum capacity, as the key figure of merit for a given quantum channel, upper bounds the channel's ability in transmitting quantum information. Identifying different type of channels, evaluating the corresponding quantum capacity and finding the capacity-approaching coding scheme are the major tasks in quantum communication theory. Quantum channel in discrete variables has been discussed enormously involving various error models, while error model in the continuous variable channel has been less studied due to the infinite dimensional problem. In this paper, we investigate a general continuous variable quantum erasure channel. By defining an effective subspace of the continuous variable system, we find a continuous variable random coding model. We then derive the quantum capacity of the continuous variable erasure channel in the framework of decoupling theory. The discussion in this paper fills the gap of quantum erasure channel in continuous variable settings and sheds light on the understanding of other type of continuous variable quantum channels.
