Extreme Points of the Convex Set of Joint Probability Distributions with Fixed Marginals

Proceedings Mathematical Sciences

K R Parthasarathy¹ 

[1] Indian Statistical Institute, Delhi Centre, , S.J.S. Sansanwal Marg, New Delhi 0 0, India$$

关键词: 𝐶* algebra;    covariant bistochastic maps;    completely positive map;    Stinespring’s theorem;    extreme points of a convex set.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

By using a quantum probabilistic approach we obtain a description of the extreme points of the convex set of all joint probability distributions on the product of two standard Borel spaces with fixed marginal distributions.

【 授权许可】

Unknown