Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics

Details Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics

2011-09-17

arxiv.org/abs/1109.3804v1

Physics

Mathematical Physics

60 pages

Scientific paper

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.

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