| Presentation | 2010-11-04 Quantum Error Correction with Non-Binary LDPC Codes Kenta KASAI, Manabu HAGIWARA, Hideki IMAI, Koichi SAKANIWA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Quantum error correction is used in quantum computing and quantum communications to protect quantum information from quantum noise. Quantum LDPC codes are efficiently decodable quantum error correcting codes defined by sparse parity-check equations. CSS (Calderbank, Shor and Steane) codes are the most promising quantum error correcting codes. In this paper, we consider the quantum error correction over the depolarizing channels with non-binary LDPC codes defined over Galois field of size 2P. The resulting quantum codes outperform the best known quantum codes and surpass the performance limit of the bounded distance decoder. By increasing the size of the underlying Galois field, i.e., 2P, the error floors are considerably improved. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | non-binary LDPC codes / quantum error correcting codes |
| Paper # | IBISML2010-77 |
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| Conference Information | |
| Committee | IBISML |
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| Conference Date | 2010/10/28(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information-Based Induction Sciences and Machine Learning (IBISML) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Quantum Error Correction with Non-Binary LDPC Codes |
| Sub Title (in English) | |
| Keyword(1) | non-binary LDPC codes |
| Keyword(2) | quantum error correcting codes |
| 1st Author's Name | Kenta KASAI |
| 1st Author's Affiliation | Dept. of Communications and Integrated Systems, Tokyo Institute of Technology() |
| 2nd Author's Name | Manabu HAGIWARA |
| 2nd Author's Affiliation | Research Center for Information Security, National Institute of Advanced Industrial Science and Technology |
| 3rd Author's Name | Hideki IMAI |
| 3rd Author's Affiliation | Research Center for Information Security, National Institute of Advanced Industrial Science and Technology:Dept. of Electrical, Electronic and Communication Engineering, Faculty of Science and Engineering, Chuo University |
| 4th Author's Name | Koichi SAKANIWA |
| 4th Author's Affiliation | Dept. of Communications and Integrated Systems, Tokyo Institute of Technology |
| Date | 2010-11-04 |
| Paper # | IBISML2010-77 |
| Volume (vol) | vol.110 |
| Number (no) | 265 |
| Page | pp.pp.- |
| #Pages | 11 |
| Date of Issue | |