On entropy production of repeated quantum measurements I. General theory
  We study entropy production (EP) in processes involving repeated quantum measurements of finite quantum systems. Adopting a dynamical system approach, we develop a thermodynamic formalism for the EP and study fine aspects of irreversibility related to the hypothesis testing of the arrow of time. Under a suitable chaoticity assumption, we establish a Large Deviation Principle and a Fluctuation Theorem for the EP. 
Tristan Benoist, Vojkan Jaksic, Yan Pautrat, Claude-Alain Pillet
math-ph math.DS math.MP math.PR quant-ph