An entropy function of a quantum channel

被引：0
作者：
Yanjun Chu
Fang Huang
Ming-Xiao Li
Zhu-Jun Zheng
机构：
[1] Henan University,School of mathematics and statistics
[2] South China University of Technology,Laboratory of Quantum Science and Engineering
[3] South China University of Technology,Department of Mathematics
来源：
Quantum Information Processing | / 22卷
关键词：
Entropy; Quantum channel; Relative entropy; Choi state;
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摘要：
Motivated by the isomorphic correspondence between quantum channels and their Choi states, we define an entropy function of a quantum channel by the entropy of its Choi state. We show that it satisfies all axioms of the entropy function. We also define the relative entropy of a quantum channel and give the relation between the entropy and the relative entropy of a quantum channel. Moreover, comparing with the entropy of a quantum channel which is defined by Gour and Wilde, we find that the two definitions of the channel entropy are equal for covariant channels. As examples, we compute the entropies of the erasure channel, the d-dimensional depolarizing channel, and a particular kind of Werner–Holevo channels, respectively.
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