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Channel Simulation With Quantum Side Information

机译：具有量子辅助信息的通道仿真

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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 tradeoff 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.
机译：我们研究并解决了在接收机中使用量子辅助信息进行经典信道仿真的问题。这是经典逆Shannon定理和经典量子Slepian-Wolf问题的推广。发现通过信道输出和量子辅助信息之间的霍夫信息，从信道输入和输出之间的互信息降低了最佳无噪声通信速率。我们的主要定理有两个重要的推论。第一个是Wyner-Ziv问题的量子概括：带量子辅助信息的速率失真理论。第二个是经典通信与从量子状态中提炼出来的普通随机性之间折衷的替代证明。所考虑问题的完全量子概化是量子态重新分布。在这里，发送方和接收方共享混合的量子状态，发送方希望使用纠缠和量子通信将其状态的一部分转移到接收方。我们给出了可达到的速率对的外边界和内边界。

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