含噪量子广播信道容量定理的求证与应用

Proof and Application of Noisy Quantum Broadcast Channels Capacity Theorem

量子广播信道是量子网络通信的基础。信道容量是信道最基本的特征,要利用信道进行有效可靠的通信,必须首先知道信道的容量。研究一个发送者、两个接收者的量子广播信道的容量问题。利用纠缠产生编码定理,求证了含噪量子广播信道容量定理,获得了含噪量子广播信道的经典-量子容量区域和量子-量子容量区域,并将该定理推广到量子去极化信道中,计算得到量子去极化广播信道的经典-量子容量区域。

Quantum broadcast channels are the fundamental of quantum network communication. To use the channel efficiently and effectively, it is crucial to know the capacity region of the channel. In this paper, we focus on the capacity region problem of quantum broadcast channel with only one sender and two receivers. According to the quantum entanglement generation theorem, we present and prove the capacity theorems of noisy quantum broadcast channels, including classical-quantum and quantum-quantum capaci- ty region theorems, by which we obtain the capacity region of the quantum broadcast channel with depolarizing noise.