Fast Constructions of Quantum Codes Based on Residues Pauli Block Matrices
Author(s) -
Ying Guo,
Guihu Zeng,
Moon-Ho Lee
Publication year - 2010
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2010/469124
Subject(s) - pauli exclusion principle , pauli matrices , block code , quantum , block (permutation group theory) , construct (python library) , mathematics , quadratic equation , abelian group , quantum convolutional code , quantum error correction , computer science , physics , pure mathematics , algorithm , quantum mechanics , quantum algorithm , combinatorics , mathematical physics , geometry , decoding methods , programming language
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
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