Quantum Error-Correction Codes on Abelian Groups

被引:2
作者
Amini, Massoud [1 ]
机构
[1] Tarbiat Modares Univ, Fac Math Sci, Dept Math, POB 14115-134, Tehran, Iran
来源
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2010年 / 5卷 / 01期
关键词
quantum error correction; qunatum Fourier transform; quantum channel;
D O I
10.7508/ijmsi.2010.01.007
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a general form of bit flip formula for the quantum Fourier transform on finite abelian groups and use it to encode some general CSS codes on these groups.
引用
收藏
页码:55 / 67
页数:13
相关论文
共 50 条
[31]   Probabilities of Failure for Quantum Error Correction [J].
A. J. Scott .
Quantum Information Processing, 2005, 4 :399-431
[32]   On the Wilsonian Meaning of Quantum Error Correction [J].
Gomez, Cesar .
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2021, 69 (02)
[33]   IMPLEMENTATION OF UNITARY QUANTUM ERROR CORRECTION [J].
Tomita, Hiroyuki .
QUANTUM INFORMATION AND QUANTUM COMPUTING, 2013, 6 :123-137
[34]   Probabilities of failure for quantum error correction [J].
Scott, A. J. .
QUANTUM INFORMATION PROCESSING, 2005, 4 (05) :399-431
[35]   Breakthrough of error correction in quantum computing [J].
Heng, Fan .
ACTA PHYSICA SINICA, 2023, 72 (07)
[36]   Quantum error correction in crossbar architectures [J].
Helsen, Jonas ;
Steudtner, Mark ;
Veldhorst, Menno ;
Wehner, Stephanie .
QUANTUM SCIENCE AND TECHNOLOGY, 2018, 3 (03)
[37]   Quantum error correction with bosonic encoding [J].
Fan, Heng .
CHINESE SCIENCE BULLETIN-CHINESE, 2024, 69 (28-29) :4169-4172
[38]   Quantum error correction: an introductory guide [J].
Roffe, Joschka .
CONTEMPORARY PHYSICS, 2019, 60 (03) :226-245
[39]   Quantum error correction with the semion code [J].
Dauphinais, G. ;
Ortiz, L. ;
Varona, S. ;
Martin-Delgado, M. A. .
NEW JOURNAL OF PHYSICS, 2019, 21 (05)
[40]   Quantum error correction of photon loss with quantum encoding [J].
Han, Chao .
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2013, 62 (05) :721-724