On entropy production of repeated quantum measurements I. General theory
Mathematical Physics
2017-08-02 v2 Dynamical Systems
math.MP
Probability
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1607.00162,
title = {On entropy production of repeated quantum measurements I. General theory},
author = {Tristan Benoist and Vojkan Jaksic and Yan Pautrat and Claude-Alain Pillet},
journal= {arXiv preprint arXiv:1607.00162},
year = {2017}
}