V. Jaksic, Y. Ogata, C.-A. Pillet, R. Seiringer
Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics
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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.