Quantum Conditional Mutual Information, Reconstructed States, and State Redistribution.
Quantum Conditional Mutual Information, Reconstructed States, and State Redistribution.
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DOI：
10.1103/physrevlett.115.050501
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发表时间：
2014-11
影响因子：
8.6
通讯作者：
F. Brandão;A. Harrow;J. Oppenheim;Sergii Strelchuk
中科院分区：
文献类型：
--
作者：
F. Brandão;A. Harrow;J. Oppenheim;Sergii Strelchuk
我们给出了Fawzi和Renner最近证明的关于三体量子态的量子条件互信息的一个不等式的两个加强，并将其与从其二部约化重构态的能力联系起来。也就是说，我们证明了条件互信息是量子态与其重构版本之间的正则化相对熵距离的上界。它也是测量的状态到其重建版本的相对熵距离的上界。证明的主要内容是条件互信息是状态重分配任务中的最优量子通信速率。
We give two strengthenings of an inequality for the quantum conditional mutual information of a tripartite quantum state recently proved by Fawzi and Renner, connecting it with the ability to reconstruct the state from its bipartite reductions. Namely, we show that the conditional mutual information is an upper bound on the regularized relative entropy distance between the quantum state and its reconstructed version. It is also an upper bound for the measured relative entropy distance of the state to its reconstructed version. The main ingredient of the proof is the fact that the conditional mutual information is the optimal quantum communication rate in the task of state redistribution.