Alicki-Fannes-Winter方法对有界能量状态集的改进及其应用
Adaptation of the Alicki-Fannes-Winter method for the set of states with bounded energy and its use
摘要：
我们描述了一个修改的Alicki-Fannes-Winter方法，它允许证明一致连续的量子态的一组有界能量的任何局部几乎仿射函数具有有限的增长，随着能量的增加。讨论了它在量子信息理论中的一些应用。证明了在能量约束下，纠缠的相对熵及其正则化在一个子系统上的渐近连续性。在输入能量约束下，得到了局域信道输出端的量子互信息和输出Holevo量的与时间无关的连续性界.
英文摘要：
We describe a modification of the Alicki-Fannes-Winter method which allows to prove uniform continuity on the set of quantum states with bounded energy of any locally almost affine function having limited growth with increasing energy. Some applications in quantum information theory are considered. The asymptotic continuity of the relative entropy of entanglement and of its regularization under the energy constraint on one subsystem is proved. Channel-independent continuity bounds for the quantum mutual information at the output of a local channel and for the output Holevo quantity under the input energy constraint are obtained.
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