A Survey of Quantum Error Correction

被引:8
作者
Matsumoto, Ryutaroh [1 ,2 ]
Hagiwara, Manabu [3 ]
机构
[1] Tokyo Inst Technol, Dept Informat & Commun Engn, Tokyo 1528550, Japan
[2] Aalborg Univ, Dept Math Sci, Aalborg, Denmark
[3] Chiba Univ, Grad Sch Sci, Dept Math & Informat, Chiba 2630022, Japan
关键词
error correction; quantum information; CODES;
D O I
10.1587/transfun.2021EAI0001
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
This paper surveys development of quantum error correction. With the familiarity with conventional coding theory and tensor product in multi-linear algebra, this paper can be read in a self-contained manner.
引用
收藏
页码:1654 / 1664
页数:11
相关论文
共 49 条
[1]   FAULT-TOLERANT QUANTUM COMPUTATION WITH CONSTANT ERROR RATE [J].
Aharonov, Dorit ;
Ben-Or, Michael .
SIAM JOURNAL ON COMPUTING, 2008, 38 (04) :1207-1282
[2]   First M87 Event Horizon Telescope Results. III. Data Processing and Calibration [J].
Akiyama, Kazunori ;
Alberdi, Antxon ;
Alef, Walter ;
Asada, Keiichi ;
Azulay, Rebecca ;
Baczko, Anne-Kathrin ;
Ball, David ;
Balokovic, Mislav ;
Barrett, John ;
Bintley, Dan ;
Blackburn, Lindy ;
Boland, Wilfred ;
Bouman, Katherine L. ;
Bower, Geoffrey C. ;
Bremer, Michael ;
Brinkerink, Christiaan D. ;
Brissenden, Roger ;
Britzen, Silke ;
Broderick, Avery E. ;
Broguiere, Dominique ;
Bronzwaer, Thomas ;
Byun, Do-Young ;
Carlstrom, John E. ;
Chael, Andrew ;
Chan, Chi-kwan ;
Chatterjee, Shami ;
Chatterjee, Koushik ;
Chen, Ming-Tang ;
Chen, Yongjun ;
Cho, Ilje ;
Christian, Pierre ;
Conway, John E. ;
Cordes, James M. ;
Crew, Geoffrey B. ;
Cui, Yuzhu ;
Davelaar, Jordy ;
De Laurentis, Mariafelicia ;
Deane, Roger ;
Dempsey, Jessica ;
Desvignes, Gregory ;
Dexter, Jason ;
Doeleman, Sheperd S. ;
Eatough, Ralph P. ;
Falcke, Heino ;
Fish, Vincent L. ;
Fomalont, Ed ;
Fraga-Encinas, Raquel ;
Friberg, Per ;
Fromm, Christian M. ;
Gomez, Jose L. .
ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)
[3]  
[Anonymous], 2020, 2020 IEEE INT S INF, P1870, DOI [10.1109/ ISIT44484.2020.9174339, DOI 10.1109/ISIT44484.2020.9174339]
[4]   Quantum supremacy using a programmable superconducting processor [J].
Arute, Frank ;
Arya, Kunal ;
Babbush, Ryan ;
Bacon, Dave ;
Bardin, Joseph C. ;
Barends, Rami ;
Biswas, Rupak ;
Boixo, Sergio ;
Brandao, Fernando G. S. L. ;
Buell, David A. ;
Burkett, Brian ;
Chen, Yu ;
Chen, Zijun ;
Chiaro, Ben ;
Collins, Roberto ;
Courtney, William ;
Dunsworth, Andrew ;
Farhi, Edward ;
Foxen, Brooks ;
Fowler, Austin ;
Gidney, Craig ;
Giustina, Marissa ;
Graff, Rob ;
Guerin, Keith ;
Habegger, Steve ;
Harrigan, Matthew P. ;
Hartmann, Michael J. ;
Ho, Alan ;
Hoffmann, Markus ;
Huang, Trent ;
Humble, Travis S. ;
Isakov, Sergei V. ;
Jeffrey, Evan ;
Jiang, Zhang ;
Kafri, Dvir ;
Kechedzhi, Kostyantyn ;
Kelly, Julian ;
Klimov, Paul V. ;
Knysh, Sergey ;
Korotkov, Alexander ;
Kostritsa, Fedor ;
Landhuis, David ;
Lindmark, Mike ;
Lucero, Erik ;
Lyakh, Dmitry ;
Mandra, Salvatore ;
McClean, Jarrod R. ;
McEwen, Matthew ;
Megrant, Anthony ;
Mi, Xiao .
NATURE, 2019, 574 (7779) :505-+
[5]   Nonbinary quantum stabilizer codes [J].
Ashikhmin, A ;
Knill, E .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2001, 47 (07) :3065-3072
[6]   Fifteen Years of Quantum LDPC Coding and Improved Decoding Strategies [J].
Babar, Zunaira ;
Botsinis, Panagiotis ;
Alanis, Dimitrios ;
Ng, Soon Xin ;
Hanzo, Lajos .
IEEE ACCESS, 2015, 3 :2492-2519
[7]   TELEPORTING AN UNKNOWN QUANTUM STATE VIA DUAL CLASSICAL AND EINSTEIN-PODOLSKY-ROSEN CHANNELS [J].
BENNETT, CH ;
BRASSARD, G ;
CREPEAU, C ;
JOZSA, R ;
PERES, A ;
WOOTTERS, WK .
PHYSICAL REVIEW LETTERS, 1993, 70 (13) :1895-1899
[8]  
Bierbrauer J, 2000, J COMB DES, V8, P174, DOI 10.1002/(SICI)1520-6610(2000)8:3<174::AID-JCD3>3.0.CO
[9]  
2-T
[10]   Correcting quantum errors with entanglement [J].
Brun, Todd ;
Devetak, Igor ;
Hsieh, Min-Hsiu .
SCIENCE, 2006, 314 (5798) :436-439