Title :
Application of Classical Hermitian Self-Orthogonal MDS Codes to Quantum MDS Codes
Author :
Jin, Lingfei ; Ling, San ; Luo, Jinquan ; Xing, Chaoping
Author_Institution :
Sch. of Math., Hefei Univ. of Technol., Hefei, China
Abstract :
In this paper, we first construct several classes of classical Hermitian self-orthogonal maximum distance separable (MDS) codes. Through these classical codes, we are able to obtain various quantum MDS codes. It turns out that many of our quantum codes are new in the sense that the parameters of our quantum codes cannot be obtained from all previous constructions.
Keywords :
orthogonal codes; quantum communication; Hermitian self-orthogonal MDS codes; classical Hermitian self-orthogonal maximum distance separable codes; quantum MDS codes; quantum codes; Chaos; Computer errors; Construction industry; Error correction codes; Geometry; Hilbert space; Information theory; Linear code; Mathematics; Polynomials; Protection; Quantum mechanics; Vectors; Hermitian self-orthogonal codes; algebraic geometry codes; generalized Reed–Solomon codes; maximum distance separable (MDS) codes; quantum MDS codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2010.2054174
