Contraction of generalized relative entropy under stochastic mappings on matrices

D. Petz, Mary Beth Ruskai

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)83-89
Number of pages7
JournalInfinite Dimensional Analysis, Quantum Probability and Related Topics
Volume1
Issue number1
Publication statusPublished - Jan 1998

Fingerprint

Generalized Entropy
Relative Entropy
contraction
Contraction
Entropy
entropy
Square Functions
Matrix Algebra
Coefficient
coefficients
matrices
Convex function
Mathematical operators
algebra
operators
Operator

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Mathematical Physics
  • Statistics and Probability
  • Statistical and Nonlinear Physics

Cite this

Contraction of generalized relative entropy under stochastic mappings on matrices. / Petz, D.; Ruskai, Mary Beth.

In: Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 1, No. 1, 01.1998, p. 83-89.

Research output: Contribution to journalArticle

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