Fast Constructions of Quantum Codes Based on Residues Pauli Block Matrices

We demonstrate how to fast construct quantum error-correction codes based on quadratic residues Pauli block transforms. The present quantum codes have an advantage of being fast designed from Abelian groups on the basis of Pauli block matrices that can be yielded from quadratic residues with much ef...

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Main Authors: Ying Guo, Guihu Zeng, MoonHo Lee
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2010/469124
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author Ying Guo
Guihu Zeng
MoonHo Lee
author_facet Ying Guo
Guihu Zeng
MoonHo Lee
author_sort Ying Guo
collection DOAJ
description We demonstrate how to fast construct quantum error-correction codes based on quadratic residues Pauli block transforms. The present quantum codes have an advantage of being fast designed from Abelian groups on the basis of Pauli block matrices that can be yielded from quadratic residues with much efficiency.
format Article
id doaj-art-665f3ea9279549cda6019ca5c75d855f
institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-665f3ea9279549cda6019ca5c75d855f2025-08-20T03:34:17ZengWileyAdvances in Mathematical Physics1687-91201687-91392010-01-01201010.1155/2010/469124469124Fast Constructions of Quantum Codes Based on Residues Pauli Block MatricesYing Guo0Guihu Zeng1MoonHo Lee2Institute of Information and Communication, Chonbuk National University, Chonju 561-756, South KoreaInstitute of Information and Communication, Chonbuk National University, Chonju 561-756, South KoreaInstitute of Information and Communication, Chonbuk National University, Chonju 561-756, South KoreaWe demonstrate how to fast construct quantum error-correction codes based on quadratic residues Pauli block transforms. The present quantum codes have an advantage of being fast designed from Abelian groups on the basis of Pauli block matrices that can be yielded from quadratic residues with much efficiency.http://dx.doi.org/10.1155/2010/469124
spellingShingle Ying Guo
Guihu Zeng
MoonHo Lee
Fast Constructions of Quantum Codes Based on Residues Pauli Block Matrices
Advances in Mathematical Physics
title Fast Constructions of Quantum Codes Based on Residues Pauli Block Matrices
title_full Fast Constructions of Quantum Codes Based on Residues Pauli Block Matrices
title_fullStr Fast Constructions of Quantum Codes Based on Residues Pauli Block Matrices
title_full_unstemmed Fast Constructions of Quantum Codes Based on Residues Pauli Block Matrices
title_short Fast Constructions of Quantum Codes Based on Residues Pauli Block Matrices
title_sort fast constructions of quantum codes based on residues pauli block matrices
url http://dx.doi.org/10.1155/2010/469124
work_keys_str_mv AT yingguo fastconstructionsofquantumcodesbasedonresiduespauliblockmatrices
AT guihuzeng fastconstructionsofquantumcodesbasedonresiduespauliblockmatrices
AT moonholee fastconstructionsofquantumcodesbasedonresiduespauliblockmatrices