scholarly journals Moderate Deviation Analysis for Classical-Quantum Channels and Quantum Hypothesis Testing

2018 ◽  
Vol 64 (2) ◽  
pp. 1385-1403 ◽  
Author(s):  
Hao-Chung Cheng ◽  
Min-Hsiu Hsieh
Keyword(s):  
Hypothesis Testing ◽  
Moderate Deviation ◽  
Quantum Channels ◽  
Quantum Hypothesis ◽  
Deviation Analysis ◽  
Classical Quantum ◽  
Quantum Hypothesis Testing

scholarly journals A Smooth Entropy Approach to Quantum Hypothesis Testing and the Classical Capacity of Quantum Channels

2013 ◽  
Vol 59 (12) ◽  
pp. 8014-8026 ◽  
Author(s):  
Nilanjana Datta ◽  
Milan Mosonyi ◽  
Min-Hsiu Hsieh ◽  
Fernando G. S. L. Brandao
Keyword(s):  
Hypothesis Testing ◽  
Quantum Channels ◽  
Quantum Hypothesis ◽  
Classical Capacity ◽  
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.

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