Title :
Asymmetric Quantum Codes: Characterization and Constructions
Author :
Wang, Long ; Feng, Keqin ; Ling, San ; Xing, Chaoping
Author_Institution :
Dept. of Math. Sci., Tsinghua Univ., Beijing, China
fDate :
6/1/2010 12:00:00 AM
Abstract :
The stabilizer method for constructing a class of asymmetric quantum codes (AQC), called additive AQC, has been established by Aly et.al. In this paper, we present a new characterization of AQC, which generalizes a result of the symmetric case known previously. As an application of the characterization, we establish a relationship of AQC with classical error-correcting codes and show a few examples of good AQC with specific parameters. By using this relationship, we obtain an asymptotic bound on AQCs from algebraic geometry codes.
Keywords :
algebraic geometric codes; error correction codes; additive AQC; algebraic geometry codes; asymmetric quantum codes; asymptotic bound; error-correcting codes; stabilizer method; Chaos; Computer errors; Convolutional codes; Error correction codes; Fault tolerance; Galois fields; Geometry; Information theory; Quantum computing; Quantum mechanics; Algebraic geometry codes; asymptotic bounds; classical codes; mappings; quantum codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2010.2046221
