IEICE Technical Committee Submission System
Conference Paper's Information		 Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

Paper Abstract and Keywords
Presentation 2015-05-26 11:40
On maximization of measured f-divergence between a given pair of quantum states: single-copy analysis
Keiji Matsumoto (NII)
Abstract (in Japanese) (See Japanese page) 
(in English) This research deals with (single-copy) maximization of classical
$f$-divergence between the distributions of measurement outputs of a given
pair of quantum states. Since this is generalization of Kullback-Leibler
divergence and Renyi type relative entropy, maximization of this quantity
definitely is an important problem in quantum information and statistics. So
far, there had been significant development concerning asymptotic
setting, or maximizing rate of the quantity when collective measurements
are performed on may copies of states. On the other hand, however,
little has been done about single-copy maximization, and the question is
solved only for very restricted examples of $f$. purposes of the present paper
is to advance the study further, by investigating its properties, rewriting
the problem to more tractable form, presenting an expression of the quantity
using a sort of "non-commutative Radon-Nikodym derivative", and giving closed
formulas of the quantity in some special cases, e.g., when the first argument
is a pure state, or $f$ is some specific form.
Keyword (in Japanese) (See Japanese page) 
(in English) $f$-divergence / measurement / optimization / information / / / /  
Reference Info. IEICE Tech. Rep.
Paper #  
Date of Issue  
ISSN  
Download PDF

Conference Information
Committee QIT  
Conference Date 2015-05-25 - 2015-05-26 
Place (in Japanese) (See Japanese page) 
Place (in English) Osaka University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2015-05-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On maximization of measured f-divergence between a given pair of quantum states: single-copy analysis 
Sub Title (in English)  
Keyword(1) $f$-divergence  
Keyword(2) measurement  
Keyword(3) optimization  
Keyword(4) information  
Keyword(5)  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Keiji Matsumoto  
1st Author's Affiliation National Institute of Informatics (NII)
2nd Author's Name  
2nd Author's Affiliation ()
3rd Author's Name  
3rd Author's Affiliation ()
4th Author's Name  
4th Author's Affiliation ()
5th Author's Name  
5th Author's Affiliation ()
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
Speaker Author-1 
Date Time 2015-05-26 11:40:00 
Presentation Time 20 minutes 
Registration for QIT 
Paper #  
Volume (vol) vol. 
Number (no)  
Page  
#Pages  
Date of Issue  

[Return to Top Page]

[Return to IEICE Web Page]
The Institute of Electronics, Information and Communication Engineers (IEICE), Japan