Strengthened Lindblad inequality: applications in non equilibrium thermodynamics and quantum information theory

TL;DR

This paper proves a strengthened Lindblad inequality and applies it to establish a generalized H-theorem in non-equilibrium thermodynamics and a strengthened data processing inequality in quantum information theory.

Contribution

It introduces a stronger version of the Lindblad inequality and demonstrates its applications in non-equilibrium thermodynamics and quantum information processing.

Findings

Proved a strengthened Lindblad inequality.

Established a generalized H-theorem in thermodynamics.

Derived a strengthened data processing inequality in quantum information.

Abstract

A strengthened Lindblad inequality has been proved. We have applied this result for proving a generalized $H$-theorem in non equilibrium thermodynamics. Information processing also can be considered as some thermodynamic process. From this point of view we have proved a strengthened data processing inequality in quantum information theory.