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Paper Abstract and Keywords
Presentation 2019-05-21 11:40
Directed-completeness of statistical experiments and channels on operator algebras
Yui Kuramochi (Univ. Tokyo)
Abstract (in Japanese) (See Japanese page) 
(in English) For statistical experiments or quantum channels
on von Neumann algebras,
we introduce a preorder (equivalence) relation by post-processing channel randomization.
In this talk, we show that
if a sequence (more generally net) of statistical experiments or channels
is monotonically increasing or decreasing with respect to the randomization order,
then the sequence always has the lqlq{}limit of the informationrqrq{}
in the sense of the supremum or infimum.
As an infinite-dimensional physical example,
we consider ideal linear amplification process in a quantum optical system
and show that the infimum of the channels of the system is given by
the quantum-classical channel corresponding to the heterodyne measurement.
Keyword (in Japanese) (See Japanese page) 
(in English) statistical experiment / randomization order / directed-completeness / conjugate channel / ideal quantum linear amplifi er / / /  
Reference Info. IEICE Tech. Rep.
Paper #  
Date of Issue  
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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Conference Information
Committee QIT  
Conference Date 2019-05-20 - 2019-05-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyushu University, Chikushi Campus 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2019-05-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Directed-completeness of statistical experiments and channels on operator algebras 
Sub Title (in English)  
Keyword(1) statistical experiment  
Keyword(2) randomization order  
Keyword(3) directed-completeness  
Keyword(4) conjugate channel  
Keyword(5) ideal quantum linear amplifi er  
1st Author's Name Yui Kuramochi  
1st Author's Affiliation The University of Tokyo (Univ. Tokyo)
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Date Time 2019-05-21 11:40:00 
Presentation Time 20 
Registration for QIT 
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