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Paper Abstract and Keywords
Presentation 2022-01-21 09:50
Bayesian Holevo and Nagaoka-Hayashi bounds for quantum-state estimation
Jun Suzuki (UEC) IT2021-69 SIP2021-77 RCS2021-237
Abstract (in Japanese) (See Japanese page) 
(in English) In this work we propose a Bayesian version of the Nagaoka-Hayashi bound when estimating multiple parameters for quantum states. This bound is a generalization of a recently proposed bound for a point-wise estimation problem. We then show that the proposed bound can be efficiently computed as a semidefinite programming problem. As a lower bound, we also derive a Bayesian version of the Holevo bound from the Bayesian Nagaoka-Hayashi bound. Lastly, we prove that the new bound is tighter than the generalized Personick bound, studied by Rubio and Dunningham.
Keyword (in Japanese) (See Japanese page) 
(in English) Quantum-state estimation / Bayesian risk / Holevo bound / Nagaoka-Hayashi bound / semidefinite programming / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 327, IT2021-69, pp. 231-236, Jan. 2022.
Paper # IT2021-69 
Date of Issue 2022-01-13 (IT, SIP, RCS) 
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)
Download PDF IT2021-69 SIP2021-77 RCS2021-237

Conference Information
Committee RCS SIP IT  
Conference Date 2022-01-20 - 2022-01-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IT 
Conference Code 2022-01-RCS-SIP-IT 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Bayesian Holevo and Nagaoka-Hayashi bounds for quantum-state estimation 
Sub Title (in English)  
Keyword(1) Quantum-state estimation  
Keyword(2) Bayesian risk  
Keyword(3) Holevo bound  
Keyword(4) Nagaoka-Hayashi bound  
Keyword(5) semidefinite programming  
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1st Author's Name Jun Suzuki  
1st Author's Affiliation The University of Electro-Communications (UEC)
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Speaker Author-1 
Date Time 2022-01-21 09:50:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2021-69, SIP2021-77, RCS2021-237 
Volume (vol) vol.121 
Number (no) no.327(IT), no.328(SIP), no.329(RCS) 
Page pp.231-236 
#Pages 6 
Date of Issue 2022-01-13 (IT, SIP, RCS) 

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