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Paper Abstract and Keywords
Presentation 2016-05-30 09:50
Evaluation of quantum 1D repetition code's performance against noises with coherence
Takanori Sugiyama (Osaka Univ.), Keisuke Fujii (Univ. of Tokyo), Haruhisa Nagata, Fuyuhiko Tanaka (Osaka Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) As error rates of quantum gates implemented in recent experiments approach a fault-tolerant threshold of a 2D planar surface code against a depolarizing noise model, it becomes more important to investigate performance of quantum error correction codes against more general and realistic noise models. The standard approach assuming depolarizing noise models, which is not realistic, can overestimate the performance, and it is not valid to apply the results to experiments. On the other hand, a rigorous approach with the diamond norm is applicable to realistic noise models but greatly underestimates the performance and is not practical. Here we propose a new theoretical framework for evaluating performances of quantum error correction, which is practical and applicable to a wider class of noise models. We apply the method to a quantum 1D repetition code, and numerically evaluate the performance. Our numerical results clarify the effect of coherence in noise on the performance of the code.
Keyword (in Japanese) (See Japanese page) 
(in English) Quantum error correction / Quantum 1D repetition code / Fault-tolerance threshold / Quantum noise / / / /  
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Conference Information
Committee QIT  
Conference Date 2016-05-30 - 2016-05-31 
Place (in Japanese) (See Japanese page) 
Place (in English) Kochi University of Technology Eikokuji campus 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2016-05-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Evaluation of quantum 1D repetition code's performance against noises with coherence 
Sub Title (in English)  
Keyword(1) Quantum error correction  
Keyword(2) Quantum 1D repetition code  
Keyword(3) Fault-tolerance threshold  
Keyword(4) Quantum noise  
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1st Author's Name Takanori Sugiyama  
1st Author's Affiliation Osaka University (Osaka Univ.)
2nd Author's Name Keisuke Fujii  
2nd Author's Affiliation The University of Tokyo (Univ. of Tokyo)
3rd Author's Name Haruhisa Nagata  
3rd Author's Affiliation Osaka University (Osaka Univ.)
4th Author's Name Fuyuhiko Tanaka  
4th Author's Affiliation Osaka University (Osaka Univ.)
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Speaker Author-1 
Date Time 2016-05-30 09:50:00 
Presentation Time 20 minutes 
Registration for QIT 
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