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| 研究生： |
林承鴻 Lin, Cherng-Hung |
|---|---|
| 論文名稱： |
量子穩定元素碼 Quantum Stabilizer Codes |
| 指導教授： |
柯文峰
Ke, Wen-Fong 黃柏嶧 Huang, Po-Yi |
| 學位類別： |
碩士 Master |
| 系所名稱： |
理學院 - 數學系應用數學碩博士班 Department of Mathematics |
| 論文出版年： | 2011 |
| 畢業學年度： | 99 |
| 語文別： | 英文 |
| 論文頁數： | 16 |
| 中文關鍵詞： | 穩定元素碼 |
| 外文關鍵詞： | Stabilizer Codes |
| 相關次數： | 點閱：72 下載：2 |
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中文摘要 這篇論文主要是用 stabilizer 建構的方式產生一大類的量子錯誤更正碼。首先介紹一些基礎的古典編碼論以及其對應的量子部分。接著討論量子碼如何 藉由 stabilizer 建構的方式產生。最後演示錯誤更正的步驟並舉出一個例子來幫助說明整個更正的過程。
This thesis is presented to show the ideas of stabilizer construction method to produce a large family of quantum codes. Some basics of classical coding theory is introduced first as well as its quantum analogue, which is necessary for further use. Then the topic of quantum codes via stabilizer construction is discussed. Finally, the error correction process is presented followed by an example to illustrate the correction process.
References
[1] A. R. Calderbank, E. M. Rains, P. W. Shor, and N. J. A. Sloane, Quantum Error Correction Via Codes Over GF(4), (1997).
[2] K. Feng, Quantum Error Correcting Codes, Tsinghua University, Beijing.
[3] D. Gottesman, Stabilizer Codes and Quantum Error Correction, California Institute of Technology (1997).
[4] E. Knill and R. Laflamme, A Theory of Quantum Error-Correcting Codes, Phys. Rev., A55(1997).
[5] G. Lee and M. Tulsiani, Additive Quantum Codes, CS191 Course Project.
[6] H. Pollatsek, Quantum error correction: classic group theory meets a quantum challenge, The Mathematical Associ-
ation of America Monthly 108 (2001), 932{962.
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