### 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 language | English |
---|---|

Pages (from-to) | 83-89 |

Number of pages | 7 |

Journal | Infinite Dimensional Analysis, Quantum Probability and Related Topics |

Volume | 1 |

Issue number | 1 |

Publication status | Published - Jan 1998 |

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### ASJC Scopus subject areas

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

### Cite this

*Infinite Dimensional Analysis, Quantum Probability and Related Topics*,

*1*(1), 83-89.

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

Research output: Contribution to journal › Article

*Infinite Dimensional Analysis, Quantum Probability and Related Topics*, vol. 1, no. 1, pp. 83-89.

}

TY - JOUR

T1 - Contraction of generalized relative entropy under stochastic mappings on matrices

AU - Petz, D.

AU - Ruskai, Mary Beth

PY - 1998/1

Y1 - 1998/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0009226255&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0009226255&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0009226255

VL - 1

SP - 83

EP - 89

JO - Infinite Dimensional Analysis, Quantum Probability and Related Topics

JF - Infinite Dimensional Analysis, Quantum Probability and Related Topics

SN - 0219-0257

IS - 1

ER -