Multi-error-correcting amplitude damping codes

Author

Duan, Runyao ; Grassl, Markus ; Ji, Zhengfeng ; Zeng, Bei

fYear

2010

fDate

13-18 June 2010

Firstpage

2672

Lastpage

2676

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ISIT.2010.5513648

Filename

5513648