遍历经典量子信道的结构和编码定理
Ergodic Classical-Quantum Channels: Structure and Coding Theorems
摘要：
我们考虑遍历因果经典量子信道（cq-信道），另外有一个衰减的输入记忆。在第一部分中，我们研究了遍历cq-信道的一些结构性质，并给出了遍历性的等价条件。第二部分证明了输入记忆衰减的因果遍历cq信道的弱逆编码定理。我们的证明是基于对cq通道引入联合输入输出态的可能性和Shannon-McMillan定理对遍历量子态的应用。在文章的最后一部分，它是如何显示这个结果意味着一类因果遍历量子信道的经典容量的编码定理。
英文摘要：
We consider ergodic causal classical-quantum channels (cq-channels) which additionally have a decaying input memory. In the first part we develop some structural properties of ergodic cq-channels and provide equivalent conditions for ergodicity. In the second part we prove the coding theorem with weak converse for causal ergodic cq-channels with decaying input memory. Our proof is based on the possibility to introduce joint input-output state for the cq-channels and an application of the Shannon-McMillan theorem for ergodic quantum states. In the last part of the paper it is shown how this result implies coding theorem for the classical capacity of a class of causal ergodic quantum channels.
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