# Asymmetric quantum codes: new codes from old

Asymmetric quantum codes: new codes from old In this paper we extend to asymmetric quantum error-correcting codes the construction methods, namely: puncturing, extending, expanding, direct sum and the $$({ \mathbf u}| \mathbf{u}+{ \mathbf v})$$ construction. By applying these methods, several families of asymmetric quantum codes can be constructed. Consequently, as an example of application of quantum code expansion developed here, new families of asymmetric quantum codes derived from generalized Reed-Muller codes, quadratic residue, Bose-Chaudhuri-Hocquenghem, character codes and affine-invariant codes are constructed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Asymmetric quantum codes: new codes from old

, Volume 12 (8) – Mar 16, 2013
20 pages

/lp/springer_journal/asymmetric-quantum-codes-new-codes-from-old-X2Sbb62hCR
Publisher
Springer Journals
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-013-0562-4
Publisher site
See Article on Publisher Site

### Abstract

In this paper we extend to asymmetric quantum error-correcting codes the construction methods, namely: puncturing, extending, expanding, direct sum and the $$({ \mathbf u}| \mathbf{u}+{ \mathbf v})$$ construction. By applying these methods, several families of asymmetric quantum codes can be constructed. Consequently, as an example of application of quantum code expansion developed here, new families of asymmetric quantum codes derived from generalized Reed-Muller codes, quadratic residue, Bose-Chaudhuri-Hocquenghem, character codes and affine-invariant codes are constructed.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Mar 16, 2013

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