Strengthened Lindblad inequality: applications in non equilibrium   thermodynamics and quantum information theory
  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. 
A.E. Allahverdyan, D.B. Saakian