10.1142/S0129055X12300026 Jakšić, Vojkan Vojkan Jakšić Ogata, Yoshiko Yoshiko Ogata Pillet, Claude A Claude Pillet Robert Seiringer Robert Seiringer Quantum hypothesis testing and non-equilibrium statistical mechanics World Scientific Publishing 2012 2018-12-11T11:57:26Z 2019-04-26T07:22:12Z review /record/2398 /record/2398.json 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.