scholarly journals An Information-Spectrum Approach to Classical and Quantum Hypothesis Testing for Simple Hypotheses

2007 ◽  
Vol 53 (2) ◽  
pp. 534-549 ◽  
Author(s):  
Hiroshi Nagaoka ◽  
Masahito Hayashi
Keyword(s):  
Hypothesis Testing ◽  
Quantum Hypothesis ◽  
Quantum Hypothesis Testing

scholarly journals QUANTUM HYPOTHESIS TESTING AND NON-EQUILIBRIUM STATISTICAL MECHANICS

2012 ◽  
Vol 24 (06) ◽  
pp. 1230002 ◽  
Author(s):  
V. JAKŠIĆ ◽  
Y. OGATA ◽  
C.-A. PILLET ◽  
R. SEIRINGER
Keyword(s):  
Statistical Mechanics ◽  
Hypothesis Testing ◽  
Large Deviation ◽  
Quantum Statistical Mechanics ◽  
Entropy Flow ◽  
Quantum Hypothesis ◽  
Algebraic Setting ◽  
Recent Developments ◽  
Quantum Hypothesis Testing ◽  
Non Equilibrium

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.

scholarly journals An optomechanical platform for quantum hypothesis testing for collapse models

2021 ◽  
Vol 23 (4) ◽  
pp. 043022
Author(s):  
Marta Maria Marchese ◽  
Alessio Belenchia ◽  
Stefano Pirandola ◽  
Mauro Paternostro
Keyword(s):  
Hypothesis Testing ◽  
Quantum Hypothesis ◽  
Collapse Models ◽  
Quantum Hypothesis Testing
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