Title :
Multi-error-correcting amplitude damping codes
Author :
Duan, Runyao ; Grassl, Markus ; Ji, Zhengfeng ; Zeng, Bei
Abstract :
We construct new families of multi-error-correcting quantum codes for the amplitude damping channel. Our key observation is that, with proper encoding, two uses of the amplitude damping channel simulate a quantum erasure channel. This allows us to use concatenated codes with quantum erasure-correcting codes as outer codes for correcting multiple amplitude damping errors. Our new codes are degenerate stabilizer codes and have parameters which are better than the amplitude damping codes obtained by any previously known construction.
Keywords :
channel coding; concatenated codes; error correction codes; quantum communication; amplitude damping channel codes; concatenated codes; encoding; error correcting codes; multiple amplitude damping errors; quantum erasure channel; quantum erasure-correcting codes; Computer science; Damping; Error correction codes; Intelligent systems; Laboratories; Noise level; Phase noise; Physics computing; Quantum computing; Quantum mechanics; Amplitude damping channel; concatenated quantum codes; quantum erasure code; quantum error correction;
Conference_Titel :
Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on
Conference_Location :
Austin, TX
Print_ISBN :
978-1-4244-7890-3
Electronic_ISBN :
978-1-4244-7891-0
DOI :
10.1109/ISIT.2010.5513648