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

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.

7 pages; revised version submitted to J. Phys. A

References in corpus (5)

• Fundamentals of Quantum Information Theory
• The problem of equilibration and the computation of correlation functions on a quantum computer
• Monotone Riemannian Metrics and Relative Entropy on Non-Commutative Probability Spaces
• Information-theoretic approach to quantum error correction and reversible measurement
• Strictly contractive quantum channels and physically realizable quantum computers

Cited by in corpus (5)

• Contractivity of positive and trace preserving maps under $L_p$ norms
• Entropy Production of Doubly Stochastic Quantum Channels
• The outer spectral radius and dynamics of completely positive maps
• Isotropy and control of dissipative quantum dynamics
• Strictly incoherent operations for one-qubit systems