Conditional Decoupling of Quantum Information
Conditional Decoupling of Quantum Information
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DOI：
10.1103/physrevlett.121.040504
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发表时间：
2018-07
影响因子：
8.6
通讯作者：
M. Berta;F. Brandão;Christian Majenz;M. Wilde
中科院分区：
文献类型：
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作者：
M. Berta;F. Brandão;Christian Majenz;M. Wilde
量子信息理论的启示表明，基于量子熵的关联测度是揭示多体态纠缠结构的基本工具。本着这种精神，格罗伊斯曼、波佩斯库和温特[Phys. Rev. A 72，032317（2005）PLAAN 1050 -294710.1103/PhysRevA.72.032317]表明，量子互信息I（A;B）量化了消除量子系统AB的二分态中的相关性所需的最小噪声率。在这里，我们调查三方系统ABE的相关性。特别地，我们感兴趣的是应用于系统AE所需的最小噪声率，以便在给定系统E中的信息的情况下消除A和B之间的相关性，使得在边缘BE上只有可忽略的干扰。我们提出了两个这样的模型，有条件的解耦，被称为解构和有条件的擦除成本的三方状态ABE。我们的主要结果是，两者都等于条件量子互信息I（A;B| E）-建立它作为三重量子关联的操作度量。
Insights from quantum information theory show that correlation measures based on quantum entropy are fundamental tools that reveal the entanglement structure of multipartite states. In that spirit, Groisman, Popescu, and Winter [Phys. Rev. A 72, 032317 (2005)PLRAAN1050-294710.1103/PhysRevA.72.032317] showed that the quantum mutual information I(A;B) quantifies the minimal rate of noise needed to erase the correlations in a bipartite state of quantum systems AB. Here, we investigate correlations in tripartite systems ABE. In particular, we are interested in the minimal rate of noise needed to apply to the systems AE in order to erase the correlations between A and B given the information in system E, in such a way that there is only negligible disturbance on the marginal BE. We present two such models of conditional decoupling, called deconstruction and conditional erasure cost of tripartite states ABE. Our main result is that both are equal to the conditional quantum mutual information I(A;B|E)-establishing it as an operational measure for tripartite quantum correlations.