A Survey of Quantum Error Correction

被引:5
|
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 50 条
  • [41] Entanglement purification and quantum error correction
    Duer, W.
    Briegel, H. J.
    REPORTS ON PROGRESS IN PHYSICS, 2007, 70 (08) : 1381 - 1424
  • [42] Key ideas in quantum error correction
    Raussendorf, Robert
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2012, 370 (1975): : 4541 - 4565
  • [43] Dimensional jump in quantum error correction
    Bombin, Hector
    NEW JOURNAL OF PHYSICS, 2016, 18
  • [44] The multiplicative domain in quantum error correction
    Choi, Man-Duen
    Johnston, Nathaniel
    Kribs, David W.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (24)
  • [45] Simulation of Quantum Error Correction with Mathematica
    Gerdt, Vladimir P.
    Prokopenya, Alexander N.
    COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, CASC 2013, 2013, 8136 : 116 - 129
  • [46] Molecular Machines for Quantum Error Correction
    Guerreiro, Thiago
    PRX QUANTUM, 2021, 2 (03):
  • [47] Probabilities of Failure for Quantum Error Correction
    A. J. Scott
    Quantum Information Processing, 2005, 4 : 399 - 431
  • [48] Algebraic formulation of quantum error correction
    Beny, Cedric
    Kribs, David W.
    Pasieka, Aron
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2008, 6 : 597 - 603
  • [49] Quantum Error Correction Decoheres Noise
    Beale, Stefanie J.
    Wallman, Joel J.
    Gutierrez, Mauricio
    Brown, Kenneth R.
    Laflamme, Raymond
    PHYSICAL REVIEW LETTERS, 2018, 121 (19)
  • [50] Quantum Secret Sharing with Error Correction
    Mouzali, Aziz
    Merazka, Fatiha
    Markham, Damian
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 58 (05) : 661 - 671