arXiv quant-ph/06110082006-11-01quant-ph

利用量子边信息的信道模拟

Channel simulation with quantum side information

Zhicheng Luo, Igor Devetak

备注：: 22 pages, 3 figures

摘要：

研究并解决了在接收端引入量子边信息的经典信道模拟问题。这是经典的反向香农定理和经典量子Slepian-Wolf问题的推广。最佳无噪声通信速率被发现是减少从信道输入和输出之间的互信息的信道输出和量子边信息之间的Holevo信息。我们的主要定理有两个重要的推论。第一个是Wyner-Ziv问题的量子推广：带量子边信息的率失真理论。第二个是从量子态中提取的经典通信和普通随机性之间的权衡的另一种证明。所考虑的问题的完全量子推广是量子态再分布。在这里，发送者和接收者共享一个混合的量子态，并且发送者希望使用纠缠和量子通信将她的一部分状态传递给接收者。我们提出了可实现的速率对的外界和内界。

英文摘要：

We study and solve the problem of classical channel simulation with quantum side information at the receiver. This is a generalization of both the classical reverse Shannon theorem, and the classical-quantum Slepian-Wolf problem. The optimal noiseless communication rate is found to be reduced from the mutual information between the channel input and output by the Holevo information between the channel output and the quantum side information. Our main theorem has two important corollaries. The first is a quantum generalization of the Wyner-Ziv problem: rate-distortion theory with quantum side information. The second is an alternative proof of the trade-off between classical communication and common randomness distilled from a quantum state. The fully quantum generalization of the problem considered is quantum state redistribution. Here the sender and receiver share a mixed quantum state and the sender wants to transfer part of her state to the receiver using entanglement and quantum communication. We present outer and inner bounds on the achievable rate pairs.

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摘要：

英文摘要：

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