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Paper Abstract and Keywords
Presentation 2016-05-31 13:00
An infinite dimensional Birkhoff's Theorem and LOCC-convertibility
Daiki Asakura (UEC)
Abstract (in Japanese) (See Japanese page) 
(in English) Nielsen developed that the condition for the LOCC-convertibility of two pure states of a bipartite system in finite dimensional systems is given by a majorization relation of Schmidt cofficents of them.
The key of the proof of this is Birkhoff ’s theorem in matrix theory. In this study, we establish an infinite dimensional version of Birkhoff’s theorem and apply them to prove that the condition for LOCC convertibility holds in infinite dimensional systems as in the similar form in finite dimensional.
Keyword (in Japanese) (See Japanese page) 
(in English) LOCC-convertibility / Birkhoff's theorem / majorization / / / / /  
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Conference Information
Committee QIT  
Conference Date 2016-05-30 - 2016-05-31 
Place (in Japanese) (See Japanese page) 
Place (in English) Kochi University of Technology Eikokuji campus 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2016-05-QIT 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An infinite dimensional Birkhoff's Theorem and LOCC-convertibility 
Sub Title (in English)  
Keyword(1) LOCC-convertibility  
Keyword(2) Birkhoff's theorem  
Keyword(3) majorization  
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1st Author's Name Daiki Asakura  
1st Author's Affiliation The University of Electro-Communications (UEC)
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Speaker Author-1 
Date Time 2016-05-31 13:00:00 
Presentation Time 20 minutes 
Registration for QIT 
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