(r, s)熵的稳定性的研究
Study on the Stability of (r, s) Entropy

DOI: 10.12677/APP.2019.99047, PP. 390-396

Keywords: (r, s)熵，迹距离，概率分布，密度算子
(r, s) Entropy, Trace Distance, Probability Distribution, Density Operate

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Abstract:

本文推广了文献中关于Tsallis熵的稳定性的研究，利用概率耦合方法建立了经典情形下(r, s)熵的紧上界，并以同样的方法给出了量子情形的紧上界。这些结果给出了(r, s)熵的一致连续性和稳定性的一些定量刻画。
In this paper, the stability of Tsallis entropy in reference ？is generalized, and the compact upper bound of (r, s) entropy in classical cases is established by using the probabilistic coupling method, and the upper bound of the quantum condition is given in the same way. These results give some quantitative characterizations of uniform continuity and stability of entropy.

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