Title :
Stabilizer formalism for generalized concatenated quantum codes
Author :
Yun-Jiang Wang ; Bei Zeng ; Grassl, Markus ; Sanders, Barry C.
Author_Institution :
Inst. for Quantum Sci. & Technol., Univ. of Calgary, Calgary, AB, Canada
Abstract :
The concept of generalized concatenated quantum codes (GCQC) provides a systematic way for constructing good quantum codes from short component codes. We introduce a stabilizer formalism for GCQCs, which is achieved by defining quantum coset codes. This formalism offers a new perspective for GCQCs and enables us to derive a lower bound on the code distance of stabilizer GCQCs from component codes parameters, for both non-degenerate and degenerate component codes. Our formalism also shows how to exploit the error-correcting capacity of component codes to design good GCQCs efficiently.
Keywords :
error correction codes; GCQC; component codes; error correcting capacity; generalized concatenated quantum codes; quantum coset codes; stabilizer formalism; Bismuth; Concatenated codes; Educational institutions; Generators; Information theory; Tensile stress; Vectors;
Conference_Titel :
Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
Conference_Location :
Istanbul
DOI :
10.1109/ISIT.2013.6620282