2 citations · 3 across the 6 of their papers we have counts for
7 papers
Operational extreme points and Cuntz's canonical endomorphism
Marie Choda
Based on the fact that the Cuntz algebra is generated by the operators consisting of a finite operatorional partition, we study the notion of operational extreme points (whic…
Operational extreme points of unital completely positive maps
Marie Choda
Two notions for linear maps (operational convex combinations and operational exetreme points) are introduced. The set S of ucp maps on the n times n matrix algebra is the operation…
Around Shannon's Interpretation for Entropy-preserving Stochastic Averages
Marie Choda
We give various characterizations for a positive unital Tr-preserving map on a matrix algebra to preserve the von Neumann entropy of a state. Among others, it is given by that the…
von Neumann entropy and relative position between subalgebras
Marie Choda
We give a numerical characterization of mutual orthogonality (that is, complementarity) for subalgebras. In order to give such a characterization for mutually orthogonal subalgebra…
Conjugate Pairs of Subfactors and Entropy for Automorphisms
Marie Choda
Based on the fact that, for a subfactor of a II factor the first non-trivial Jones index is 2 and then is decomposed as the crossed product of by an outer acti…
Relative entropy for maximal abelian subalgebras of matrices and the entropy of unistochastic matrices
Marie Choda
Let and be two maximal abelian *-subalgebras of the complex matrices To study the movement of the inner automorphisms of w…