Applications of position-based coding to classical communication over quantum channels
Applications of position-based coding to classical communication over quantum channels
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DOI：
10.1088/1751-8121/aae290
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发表时间：
2017-04
期刊：
影响因子：
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通讯作者：
H. Qi;Qingle Wang;M. Wilde
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文献类型：
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作者：
H. Qi;Qingle Wang;M. Wilde
最近，一种被称为基于位置的编码的编码技术已经被用于为使用量子信道的各种经典通信协议建立可验证性声明。在本文中，我们应用这种技术在纠缠辅助设置，以建立错误指数的下限，二阶编码率的下限，和一次拍摄的下限。我们还表明，基于位置的编码可以是一个强大的工具，用于分析其他通信设置。特别是，我们减少了量子同步解码猜想的纠缠辅助或辅助通信的量子多址接入信道在多量子假设检验中的开放问题。然后，我们确定可实现的速率区域的纠缠辅助或辅助的经典通信在量子多址接入信道，当使用一个特定的量子同步解码器。在后一种情况下给出的可达到的速率区域通常是次优的，涉及Rényi-two熵和条件量子熵的差异。
Recently, a coding technique called position-based coding has been used to establish achievability statements for various kinds of classical communication protocols that use quantum channels. In the present paper, we apply this technique in the entanglement-assisted setting in order to establish lower bounds for error exponents, lower bounds on the second-order coding rate, and one-shot lower bounds. We also demonstrate that position-based coding can be a powerful tool for analyzing other communication settings. In particular, we reduce the quantum simultaneous decoding conjecture for entanglement-assisted or unassisted communication over a quantum multiple access channel to open questions in multiple quantum hypothesis testing. We then determine achievable rate regions for entanglement-assisted or unassisted classical communication over a quantum multiple-access channel, when using a particular quantum simultaneous decoder. The achievable rate regions given in this latter case are generally suboptimal, involving differences of Rényi-two entropies and conditional quantum entropies.