Art

J-GLOBAL ID：201402245867225859   Reference number：14A1398006

Single Error Correcting Quantum Codes for the Amplitude Damping Channel Based on Classical Codes over GF(7)

GF(7)上の古典的符号を利用した振幅減衰通信路用の単一誤り訂正量子符号

Author (3)： KODAIRA Keisuke (Graduate School of Sci. and Technol., Sophia Univ.) ,  WADA Mihoko (Graduate School of Sci. and Technol., Sophia Univ.) ,  SHIBUYA Tomoharu (Dep. of Information and Communication Sciences, Sophia Univ.)
Material： IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (Web)  (IEICE Trans Fundam Electron Commun Comput Sci (Web))
Volume： E97.A  Issue： 11  Page： 2247-2253 (J-STAGE)  Publication year： 2014 
JST Material Number： U0466A  ISSN： 1745-1337  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *error correcting code ,  *communication channel model ,  error correction ,  Galois field ,  attenuation ,  coding theory ,  state ,  time evolution ,  code distance ,  structural parameter ,  integer programming ,  operation (mathematics) ,  quantum computation ,  *quantum noise ,  *amplitude attenuation ,  *quantum error correction ,  quantum state ,  quantum operation
Semi thesaurus term： *asymmetric communication channel ,  code design ,  quantum code

JST classification (2)： Code theory  (ND02030R) ,  Quantum theory in general  (BA06010C)

Reference (6)：

• [1] Z.I. Berlin, “Mixed Integer Programing Solver SCIP 3.0.0,” available from http://scip.zib.de/
• [2] I.M. Bomze, M. Budinich, P.M. Pardalos, and M. Pelillo, “The Maximum Clique Problem,” in Handbook of Combinatorial optimization eds. D. Do and M. Pardalos, pp.1-74, Kluwer Academic Publishers, 1999.
• [3] S. Ishizaka, T. Ogawa, A. Kawauchi, G. Kimura, and M. Hayashi, Introduction to Quantum Information Science, Kyoritsu Shuppan Co., Ltd., 2012 (in Japanese).
• [4] R. Lang and P.W. Shor, “Nonadditive quantum error correcting codes adapted to the amplitude damping channel,” arXiv: 0712.2586, Dec. 2007.
• [5] M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, 2000.

Terms in the title (6)： 符号 ,  振幅減衰 ,  通信路 ,  単一誤り ,  訂正 ,  量子符号