Fast Stabilizer Quantum Codes Using Pauli block Matrices

被引:0
|
作者
Huang, ChenRrong [1 ]
Guo, Ying [2 ]
Lee, MoonHo [3 ]
机构
[1] Nanning Teachers Coll, Dept Math Comp Sci, Longzhou 532400, Peoples R China
[2] Central South univ, Sch Informat Sci Engn, Changsha 410083, Peoples R China
[3] Chonbuk Natl Univ, Dept Informat Commun Engn, Jeonju 561756, South Korea
关键词
D O I
10.1109/ICNC.2008.407
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Based on the fast block transform of Pauli matrices, we show how Pauli block matrix can simplify the coding theory of quantum error-correction. These SQCs are generated from some abelian subgroups of Pauli group that are composed of different rows of the yielded Pauli block matrix, and hence have advantages of being fast constructed with asymptotically good behaviors.
引用
收藏
页码:628 / +
页数:2
相关论文
共 50 条
  • [21] Quantum circuits for stabilizer codes
    Wu, CH
    Tsai, YC
    Tsai, HL
    2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS, 2005, : 2333 - 2336
  • [22] Nonbinary quantum stabilizer codes
    Ashikhmin, A
    Knill, E
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2001, 47 (07) : 3065 - 3072
  • [23] Quantum stabilizer codes and classical linear codes
    Cleve, R
    PHYSICAL REVIEW A, 1997, 55 (06) : 4054 - 4059
  • [24] Degenerate quantum codes for Pauli channels
    Smith, Graeme
    Smolin, John A.
    PHYSICAL REVIEW LETTERS, 2007, 98 (03)
  • [25] Fast Soft Decision Decoding Algorithm for Linear Block Codes Using Permuted Generator Matrices
    Choi, Changryoul
    Jeong, Jechang
    IEEE COMMUNICATIONS LETTERS, 2021, 25 (12) : 3775 - 3779
  • [26] From Pauli Matrices to Quantum Itô Formula
    Yan Pautrat
    Mathematical Physics, Analysis and Geometry, 2005, 8 : 121 - 155
  • [27] Extracting Topological Orders of Generalized Pauli Stabilizer Codes in Two Dimensions
    Liang, Zijian
    Xu, Yijia
    Iosue, Joseph T.
    Chen, Yu-An
    PRX QUANTUM, 2024, 5 (03):
  • [28] Quantum convolutional codes based on the stabilizer of linear codes
    Guo, Y
    Zeng, GH
    2005 ASIA-PACIFIC CONFERENCE ON COMMUNICATIONS (APCC), VOLS 1& 2, 2005, : 159 - 162
  • [29] Quantum stabilizer codes, lattices, and CFTs
    Dymarsky, Anatoly
    Shapere, Alfred
    JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (03)
  • [30] Stabilizer codes for open quantum systems
    Pereira, Francisco Revson F.
    Mancini, Stefano
    La Guardia, Giuliano G.
    SCIENTIFIC REPORTS, 2023, 13 (01)