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Paper Abstract and Keywords
Presentation 2020-12-02 15:30
Generalization of quantum monotonic metric with duality via a purification
Kouta Sakurai, Tomohiro Ogawa (UEC) IT2020-40
Abstract (in Japanese) (See Japanese page) 
(in English) Given a quantum statistical model, consider estimating the parameter of specific quantum state From that model.
At this time, due to the Cramér–Rao inequality, the Limitation of estimation accuracy is given by the SLD Fisher information in the quantum statistical model.
Regarding SLD Fisher information, Matsumoto showed that some kind of duality is created with the RLD Fisher information.
Here, RLD Fisher Information is an amount which gives the limit of generation efficiency when generating a quantum statistical model from random numbers.
The purpose of this study is to discover a metric pair that has duality like SLD and RLD from the metric parameter family which can be obtained by the second derivative of sandwiched Rv{e}nyi divergencecite.
In this paper, we derive the logarithmic derivative corresponding to the specific metric in the above metric parameter family and propose one of the methods for constructing the purification model.
Keyword (in Japanese) (See Japanese page) 
(in English) monotone metric / purification / SLD Fisher information / sandwiched Rv{e}nyi divergence / / / /  
Reference Info. IEICE Tech. Rep., vol. 120, no. 268, IT2020-40, pp. 91-95, Dec. 2020.
Paper # IT2020-40 
Date of Issue 2020-11-24 (IT) 
ISSN Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee IT  
Conference Date 2020-12-01 - 2020-12-03 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Lectures for Young Researchers, General 
Paper Information
Registration To IT 
Conference Code 2020-12-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Generalization of quantum monotonic metric with duality via a purification 
Sub Title (in English)  
Keyword(1) monotone metric  
Keyword(2) purification  
Keyword(3) SLD Fisher information  
Keyword(4) sandwiched Rv{e}nyi divergence  
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1st Author's Name Kouta Sakurai  
1st Author's Affiliation University of Electro-Communications (UEC)
2nd Author's Name Tomohiro Ogawa  
2nd Author's Affiliation University of Electro-Communications (UEC)
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Speaker Author-1 
Date Time 2020-12-02 15:30:00 
Presentation Time 20 minutes 
Registration for IT 
Paper # IT2020-40 
Volume (vol) vol.120 
Number (no) no.268 
Page pp.91-95 
#Pages 5 
Date of Issue 2020-11-24 (IT) 

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