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Paper Abstract and Keywords
Presentation 2023-07-24 18:20
Implementation of Shor's algorithm for the discrete logarithm problem and experiments using the quantum computer simulator
Kaito Kishi, Junpei Yamaguchi, Tetsuya Izu (Fujitsu Research), Noboru Kunihiro (Univ. of Tsukuba) ISEC2023-32 SITE2023-26 BioX2023-35 HWS2023-32 ICSS2023-29 EMM2023-32
Abstract (in Japanese) (See Japanese page) 
(in English) Classical polynomial-time algorithms for solving the discrete logarithm problem (DLP) over a prime field have not been found yet, and many cryptosystems are constructed based on them.
However, a quantum polynomial-time algorithm for it was given by Shor. Previous quantum simulates to estimate resources for solving DLP are still lacking. In this study, we estimated that 8194 qubits and $1.04times 10^{15}$ quantum gates are required to solve DLP of a 2048 bits characteristic with Q-ADD by simulating quantum circuits solving 1860 patterns of DLP. We also found a type of DLP which are more difficult than other types of them to solve in quantum computers.
Keyword (in Japanese) (See Japanese page) 
(in English) discrete logarithm problem / quantum computation / quantum circuit simulation / Shor's algorithm / safe prime / DSA / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 129, ISEC2023-32, pp. 119-126, July 2023.
Paper # ISEC2023-32 
Date of Issue 2023-07-17 (ISEC, SITE, BioX, HWS, ICSS, EMM) 
ISSN Online edition: ISSN 2432-6380
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Conference Information
Committee EMM BioX ISEC SITE ICSS HWS IPSJ-CSEC IPSJ-SPT 
Conference Date 2023-07-24 - 2023-07-25 
Place (in Japanese) (See Japanese page) 
Place (in English) Hokkaido Jichiro Kaikan 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To ISEC 
Conference Code 2023-07-EMM-BioX-ISEC-SITE-ICSS-HWS-CSEC-SPT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Implementation of Shor's algorithm for the discrete logarithm problem and experiments using the quantum computer simulator 
Sub Title (in English)  
Keyword(1) discrete logarithm problem  
Keyword(2) quantum computation  
Keyword(3) quantum circuit simulation  
Keyword(4) Shor's algorithm  
Keyword(5) safe prime  
Keyword(6) DSA  
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Keyword(8)  
1st Author's Name Kaito Kishi  
1st Author's Affiliation Fujitsu Research (Fujitsu Research)
2nd Author's Name Junpei Yamaguchi  
2nd Author's Affiliation Fujitsu Research (Fujitsu Research)
3rd Author's Name Tetsuya Izu  
3rd Author's Affiliation Fujitsu Research (Fujitsu Research)
4th Author's Name Noboru Kunihiro  
4th Author's Affiliation Faculty of Engineering, Information and Systems, University of Tsukuba (Univ. of Tsukuba)
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Speaker Author-1 
Date Time 2023-07-24 18:20:00 
Presentation Time 20 minutes 
Registration for ISEC 
Paper # ISEC2023-32, SITE2023-26, BioX2023-35, HWS2023-32, ICSS2023-29, EMM2023-32 
Volume (vol) vol.123 
Number (no) no.129(ISEC), no.130(SITE), no.131(BioX), no.132(HWS), no.133(ICSS), no.134(EMM) 
Page pp.119-126 
#Pages
Date of Issue 2023-07-17 (ISEC, SITE, BioX, HWS, ICSS, EMM) 


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