摘要
令H是无限维复希尔伯特空间,S(H)是H上密度算子的集合,即在H上为正且迹为一的有界线性算子的全体.本文给出在S(H)上保密度算子凸组合的一般熵映射的刻画.
Let H be an infinite dimensional complex Hilbert space,and S(H)the set of density operators on H,i.e.,the set of all positive and trace one bounded linear operators on H.In this paper,we give a characterization of the maps preserving generalized entropy of convex combination of density operators on S(H).
作者
贾凤阳
张艳芳
贺衎
Jia Fengyang;Zhang Yanfang;He Kan(College of Mathematics and Statistics,Weinan Normal University,Weinan 714000,China;College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China)
出处
《数学理论与应用》
2023年第2期82-91,共10页
Mathematical Theory and Applications
基金
陕西省教育厅2021年度一般专项科研计划项目(No.21JK0637)资助。
关键词
广义熵
密度算子
熵保持
Generalized entropy
Density operator
Entropy preserver
