Contraction of generalized relative entropy under stochastic mappings on matrices
Contraction of generalized relative entropy under stochastic mappings on matrices
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DOI：
10.1142/s0219025798000077
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发表时间：
1998-01-01
影响因子：
0.9
通讯作者：
Ruskai, MB
中科院分区：
文献类型：
--
作者：
Petz, D;Ruskai, MB
针对由算子凸函数 g 标记的广义相对熵，引入了全矩阵代数之间的随机映射的收缩系数。证明了该系数实际上与g无关，特别是利用平方函数可以最方便地计算出该系数。
The contraction coefficient of stochastic mappings between full matrix algebras is introduced with respect to a generalized relative entropy labeled by an operator convex function g. It is proved that the coefficient is actually independent of g, in particular, it can be most conveniently computed by means of the square function.