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One-Shot Hybrid State Redistribution
Quantum ( IF 5.1 ) Pub Date : 2022-05-30 , DOI: 10.22331/q-2022-05-30-724
Eyuri Wakakuwa, Yoshifumi Nakata, Min-Hsiu Hsieh

We consider state redistribution of a "hybrid" information source that has both classical and quantum components. The sender transmits classical and quantum information at the same time to the receiver, in the presence of classical and quantum side information both at the sender and at the decoder. The available resources are shared entanglement, and noiseless classical and quantum communication channels. We derive one-shot direct and converse bounds for these three resources, represented in terms of the smooth conditional entropies of the source state. Various coding theorems for two-party source coding problems are systematically obtained by reduction from our results, including the ones that have not been addressed in previous literature.

中文翻译:

一次性混合状态再分配

我们考虑具有经典和量子分量的“混合”信息源的状态重新分布。在发送者和解码器都存在经典和量子边信息的情况下,发送者同时向接收者发送经典和量子信息。可用的资源是共享纠缠,以及无噪声的经典和量子通信通道。我们推导出这三种资源的一次性直接和逆边界,用源状态的平滑条件熵表示。通过简化我们的结果系统地获得了用于两方源编码问题的各种编码定理,包括以前文献中未涉及的那些。
更新日期:2022-05-31
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