Asymmetric Quantum Codes: New Codes from Old
Quantum Physics
2013-03-04 v2 Information Theory
math.IT
Abstract
In this paper we extend to asymmetric quantum error-correcting codes (AQECC) the construction methods, namely: puncturing, extending, expanding, direct sum and the (u|u + 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 (GRM) codes, quadratic residue (QR), Bose-Chaudhuri-Hocquenghem (BCH), character codes and affine-invariant codes are constructed.
Keywords
Cite
@article{arxiv.1302.5669,
title = {Asymmetric Quantum Codes: New Codes from Old},
author = {Giuliano G. La Guardia},
journal= {arXiv preprint arXiv:1302.5669},
year = {2013}
}
Comments
Accepted for publication Quantum Information Processing