Open AccessSome Quantum Error-Correcting Codes with d = 5
Author(s) -
Husheng Li,
Ruihu Li,
Yu Yao,
Qiang Fu
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1684/1/012078
Subject(s) - hermitian matrix , linear code , construct (python library) , block code , quantum , mathematics , discrete mathematics , error detection and correction , algorithm , computer science , pure mathematics , physics , quantum mechanics , decoding methods , programming language
In this paper, we firstly give a computer-support method of searching for Hermitian self-orthogonal linear code. Then two linear codes with dual distance 5 over field F q 2 for q = 2,3, respectively, are chosen as ingredients. By use of this searching method, we totally find 88 Hermitian self-orthogonal linear codes and construct 88 related quantum error-correcting codes with d = 5 . Most of these results are best known quantum codes and a number of them have better parameters than that of previous quantum codes.