Multi-error-correcting amplitude damping codes

Duan, R; Grassl, M; Ji, Z; Zeng, B

Multi-error-correcting amplitude damping codes

Duan, R

Grassl, M Ji, Z

Zeng, B

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Publication Type:: Conference Proceeding
Citation:: IEEE International Symposium on Information Theory - Proceedings, 2010, pp. 2672 - 2676
Issue Date:: 2010-08-23

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Field	Value	Language
dc.contributor.author	Duan, R https://orcid.org/0000-0002-4388-7487	en_US
dc.contributor.author	Grassl, M	en_US
dc.contributor.author	Ji, Z https://orcid.org/0000-0002-7659-3178	en_US
dc.contributor.author	Zeng, B	en_US
dc.date.issued	2010-08-23	en_US
dc.identifier.citation	IEEE International Symposium on Information Theory - Proceedings, 2010, pp. 2672 - 2676	en_US
dc.identifier.isbn	9781424469604	en_US
dc.identifier.uri	http://hdl.handle.net/10453/16241
dc.description.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. © 2010 IEEE.	en_US
dc.relation.ispartof	IEEE International Symposium on Information Theory - Proceedings	en_US
dc.relation.isbasedon	10.1109/ISIT.2010.5513648	en_US
dc.title	Multi-error-correcting amplitude damping codes	en_US
dc.type	Conference Proceeding
utslib.for	0804 Data Format	en_US
dc.location.activity	Austin, USA	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US

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. © 2010 IEEE.

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http://hdl.handle.net/10453/16241