V. Jaksic, Y. Ogata, C.-A. Pillet, R. Seiringer Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics (905K, pdf) ABSTRACT. We extend the mathematical theory of quantum hypothesis testing to the general W*-algebraic setting and explore its relation with recent developments in non-equilibrium quantum statistical mechanics. In particular, we relate the large deviation principle for the full counting statistics of entropy flow to quantum hypothesis testing of the arrow of time.