2012 ◽  
Vol 24 (06) ◽  
pp. 1230002 ◽  
Author(s):  
V. JAKŠIĆ ◽  
Y. OGATA ◽  
C.-A. PILLET ◽  
R. SEIRINGER

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.


2021 ◽  
Vol 23 (4) ◽  
pp. 043022
Author(s):  
Marta Maria Marchese ◽  
Alessio Belenchia ◽  
Stefano Pirandola ◽  
Mauro Paternostro

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