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Paper Abstract and Keywords
Presentation 2011-11-22 16:40
Quantum hypothesis testing for quantum Gaussian states
Wataru Kumagai (Tohoku Univ.), Masahito Hayashi (Tohoku Univ./NUS)
Abstract (in Japanese) (See Japanese page) 
(in English) We treat quantum counterparts of testing problems whose optimal tests are given by $\chi^2$, $t$ and $F$ tests.
These quantum counterparts are formulated as quantum hypothesis testing problems concerning quantum Gaussian states families,
and contain disturbance parameters with group symmetry.
Quantum Hunt-Stein theorem removes a part of these disturbance parameters, but
other types of difficulty still remain.
In order to remove them,
we establish a general reduction theorem that reduces a complicated testing problem to a fundamental testing problem.
Due to the reduction theorem, it is shown that optimal tests for testing problems on quantum Gaussian states are described by quantum $\chi^2$, $t$ and $F$ tests.
Keyword (in Japanese) (See Japanese page) 
(in English) Quantum Gaussian state / Hypothesis testing / $\chi^2$ test / $t$ test / $F$ test / / /  
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Conference Information
Committee QIT  
Conference Date 2011-11-21 - 2011-11-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Osaka Univ. Engr. Sci. Sigma Hall (Toyonaka) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information, etc. 
Paper Information
Registration To QIT 
Conference Code 2011-11-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Quantum hypothesis testing for quantum Gaussian states 
Sub Title (in English)  
Keyword(1) Quantum Gaussian state  
Keyword(2) Hypothesis testing  
Keyword(3) $\chi^2$ test  
Keyword(4) $t$ test  
Keyword(5) $F$ test  
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1st Author's Name Wataru Kumagai  
1st Author's Affiliation Tohoku University (Tohoku Univ.)
2nd Author's Name Masahito Hayashi  
2nd Author's Affiliation Tohoku University/National University of Singapore (Tohoku Univ./NUS)
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Speaker Author-1 
Date Time 2011-11-22 16:40:00 
Presentation Time 20 minutes 
Registration for QIT 
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