论文标题
$ 3- $用户经典广播渠道的可实现的价格区域
An Achievable Rate Region for $3-$User Classical-Quantum Broadcast Channels
论文作者
论文摘要
我们考虑在$ 3 \ mhyphen $用户经典广播频道上进行通信的情况。我们进行了一项信息理论研究，并专注于表征与其容量区域的内部结合的问题。我们设计了一种基于\ textIt {分区coset代码}的新编码方案 - 具有代数属性的代码集合。分析其信息理论性能，我们表征了一个新的内部界限。我们确定了派生的内界严格比使用IID随机代码可实现的示例。 进一步进行，我们结合了SEN倾斜平滑和增强的技术，通过同时解码POVM同时进行解码，从而表征了一个进一步扩大的可实现的速率区域，以通过$ 3- $用户的用户经典的Quantum广播渠道进行通信。最后，在我们的最后一步中，我们表征了一个新的内部绑定到$ 3- $用户经典量词广播频道的经典量词容量区域，该频道通过将常规的非结构化IID代码与结构化的coset代码策略相结合，从而涵盖了所有以前已知的内在界限。
We consider the scenario of communicating on a $3\mhyphen$user classical-quantum broadcast channel. We undertake an information theoretic study and focus on the problem of characterizing an inner bound to its capacity region. We design a new coding scheme based \textit{partitioned coset codes} - an ensemble of codes possessing algebraic properties. Analyzing its information-theoretic performance, we characterize a new inner bound. We identify examples for which the derived inner bound is strictly larger than that achievable using IID random codes. Proceeding further, we incorporate Sen's technique of tilting smoothing and augmentation to perform simultaneous decoding via a simultaneous decoding POVM and thereby characterize a further enlarged achievable rate region for communicating classical bits over the $3-$user classical-quantum broadcast channel. Finally, in our last step, we characterize a new inner bound to the classical-quantum capacity region of the $3-$user classical-quantum broadcast channel that subsumes all previous known inner bounds by combining the conventional unstructured IID codes with structured coset code strategies.
