Entropy production rates of bistochastic strictly contractive quantum channels on a matrix algebra

TL;DR

This paper establishes a relationship between contraction rates and entropy production in bistochastic strictly contractive quantum channels, with implications for statistical physics and quantum information processing.

Contribution

It introduces a novel relation linking contraction rates and entropy production specifically for bistochastic strictly contractive quantum channels.

Findings

Derived a formula connecting contraction rate and entropy production.

Applied the relation to irreversible processes in statistical physics.

Discussed implications for quantum information processing.

Abstract

We derive, for a bistochastic strictly contractive quantum channel on a matrix algebra, a relation between the contraction rate and the rate of entropy production. We also sketch some applications of our result to the statistical physics of irreversible processes and to quantum information processing.