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arXiv 1702.01940quant-phcs.ITmath.IT
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噪声量子信道上的一次性纠缠辅助经典和量子通信:假设检验和凸分裂方法

One shot entanglement assisted classical and quantum communication over noisy quantum channels: A hypothesis testing and convex split approach

Anurag Anshu, Rahul Jain, Naqueeb Ahmad Warsi

摘要:

量子信道的容量表征了通过噪声量子信道进行可靠通信的极限。这个基本的信息理论问题是非常好的研究,特别是在设置许多独立的使用渠道。从实际和概念的角度来看,一个重要的场景是通道只能使用一次。这被称为单次信道编码问题。我们给出了量子信道的一次性纠缠辅助经典容量的严格表征。我们到达我们的结果,通过引入一个简单的解码技术,我们称为基于位置的解码。我们还考虑了另外两个重要的量子网络场景:带有干扰器的量子信道和量子广播信道。对于这些问题,除了基于位置的解码之外,我们还使用最近引入的凸分割技术[Anshu,Devabathini和Jain 2014]。我们的方法表明,同时使用这两种技术提供了一个统一的和概念上简单的框架,设计量子网络的通信协议。

英文摘要:

Capacity of a quantum channel characterizes the limits of reliable communication through a noisy quantum channel. This fundamental information theoretic question is very well studied specially in the setting of many independent uses of the channel. An important scenario, both from practical and conceptual point of view, is when the channel can be used only once. This is known as the one-shot channel coding problem. We provide a tight characterization of the one-shot entanglement assisted classical capacity of a quantum channel. We arrive at our result by introducing a simple decoding technique which we refer to as position-based decoding. We also consider two other important quantum network scenarios: quantum channel with a jammer and quantum broadcast channel. For these problems, we use the recently introduced convex split technique [Anshu, Devabathini and Jain 2014] in addition to position based decoding. Our approach exhibits that the simultaneous use of these two techniques provides a uniform and conceptually simple framework for designing communication protocols for quantum networks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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