论文标题
量子广播频道与合作解码器:量子中继器的信息理论观点
Quantum Broadcast Channels with Cooperating Decoders: An Information-Theoretic Perspective on Quantum Repeaters
论文作者
论文摘要
考虑了通过接收器之间合作的量子广播渠道的沟通。解决的第一种合作形式是经典的会议,接收器1可以将经典消息发送给接收器2。另一个合作设置涉及量子会议,其中接收器1可以将量子传送到接收器2。当接收器1不需要接收器1以恢复信息,并且其唯一目的是帮助传输对接收器2的型号降低量子范围,以降低量子范围,以降低量子范围。量子会议设置与量子中继器密切相关,因为发件人,接收器1和接收器2分别可以看作是发射器,中继器和目标接收器。我们在每种环境中的容量区域上开发上下边界。特别是,针对原始继电器通道得出了切割的上限和解码前线的下限。此外,我们提出了一个纠缠形式的下限,其中通过会议链接模拟了虚拟渠道。最后,我们表明,与带有纠缠编码器的多个访问渠道相比,解码器之间的纠缠并没有增加广播双重的经典通信率。
Communication over a quantum broadcast channel with cooperation between the receivers is considered. The first form of cooperation addressed is classical conferencing, where Receiver 1 can send classical messages to Receiver 2. Another cooperation setting involves quantum conferencing, where Receiver 1 can teleport a quantum state to Receiver 2. When Receiver 1 is not required to recover information and its sole purpose is to help the transmission to Receiver 2, the model reduces to the quantum primitive relay channel. The quantum conferencing setting is intimately related to quantum repeaters, as the sender, Receiver 1, and Receiver 2 can be viewed as the transmitter, the repeater, and the destination receiver, respectively. We develop lower and upper bounds on the capacity region in each setting. In particular, the cutset upper bound and the decode-forward lower bound are derived for the primitive relay channel. Furthermore, we present an entanglement-formation lower bound, where a virtual channel is simulated through the conference link. At last, we show that as opposed to the multiple access channel with entangled encoders, entanglement between decoders does not increase the classical communication rates for the broadcast dual.