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Paper Abstract and Keywords
Presentation 2011-11-22 15:40
Iterative optimization for max-min quantum error correction
Naoki Yamamoto, Yuki Nishizawa (Keio Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) This paper considers the max-min quantum error correction problem;
both the encoding and decoding channels are to be designed to maximize the fidelity between input and output states of a given noisy channel, while the minimum is taken over all possible pure input states. In general, this kind of max-min optimization problem is non-convex and is thus very hard to solve even with the aid of high-quality computational tools. Nevertheless, it is shown that, when the input is taken from a qubit and when the encoding (the decoding) process is fixed, the problem reduces to exactly convex and the optimal decoder (the optimal encoder) can be obtained. This result is crucial in the sense that it allows us to try iterating the encoder and decoder optimization procedures to compute a suboptimal solution of the original max-min QEC problem.
Keyword (in Japanese) (See Japanese page) 
(in English) Quantum error correction / optimization / SDP / SOS / / / /  
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Conference Information
Committee QIT  
Conference Date 2011-11-21 - 2011-11-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Osaka Univ. Engr. Sci. Sigma Hall (Toyonaka) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information, etc. 
Paper Information
Registration To QIT 
Conference Code 2011-11-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Iterative optimization for max-min quantum error correction 
Sub Title (in English)  
Keyword(1) Quantum error correction  
Keyword(2) optimization  
Keyword(3) SDP  
Keyword(4) SOS  
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1st Author's Name Naoki Yamamoto  
1st Author's Affiliation Keio University (Keio Univ.)
2nd Author's Name Yuki Nishizawa  
2nd Author's Affiliation Keio University (Keio Univ.)
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Speaker Author-1 
Date Time 2011-11-22 15:40:00 
Presentation Time 20 minutes 
Registration for QIT 
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