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| Presentation | 2022-03-11 16:00 Divergence rates and asymptotic convertibility of states on quantum spin chains Tomoyasu Tsuchiya, Tomohiro Ogawa (UEC)  IT2021-124 ISEC2021-89 WBS2021-92 RCC2021-99 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In the theory of quantum information spectrum methods, the divergence spectral rate and the entropy spectral rate play an important role. The divergence spectral rate is defined as a kind of limit on the likelihood ratio of probability distributions and quantum states, and in very general situations, coding rates and error probabilities are expressed in terms of the divergence spectral rate. On the other hand, it is difficult to calculate the divergence spectral rate as a concrete value, except for i.i.d. states and their mixed states. In this study, we investigate the conditions under which the divergence spectral rate and the divergence rate coincide. We consider states with factorization property, such as the Gibbs states and the finitely correlated states in one-dimensional spin chains, and study several conditions under which the divergence rate and the divergence spectral rate coincide. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | quantum information spectrum methods / divergence spectral rate / factorization property / finitly correated state / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 121, no. 428, IT2021-124, pp. 237-242, March 2022. | |
| Paper # | IT2021-124 | |
| Date of Issue | 2022-03-03 (IT, ISEC, WBS, RCC) | |
| 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 | IT2021-124 ISEC2021-89 WBS2021-92 RCC2021-99 |
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| Conference Information | |
| Committee | IT ISEC RCC WBS |
| Conference Date | 2022-03-10 - 2022-03-11 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Joint Meeting of ISEC, IT, RCC, and WBS |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2022-03-IT-ISEC-RCC-WBS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Divergence rates and asymptotic convertibility of states on quantum spin chains |
| Sub Title (in English) | |
| Keyword(1) | quantum information spectrum methods |
| Keyword(2) | divergence spectral rate |
| Keyword(3) | factorization property |
| Keyword(4) | finitly correated state |
| Keyword(5) | |
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| Keyword(8) | |
| 1st Author's Name | Tomoyasu Tsuchiya |
| 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 | 2022-03-11 16:00:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2021-124, ISEC2021-89, WBS2021-92, RCC2021-99 |
| Volume (vol) | vol.121 |
| Number (no) | no.428(IT), no.429(ISEC), no.430(WBS), no.431(RCC) |
| Page | pp.237-242 |
| #Pages | 6 |
| Date of Issue | 2022-03-03 (IT, ISEC, WBS, RCC) |
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