Entanglement Increases the Error-Correcting Ability of Quantum Error-Correcting Codes
Quantum Physics
2013-07-23 v2
Abstract
If entanglement is available, the error-correcting ability of quantum codes can be increased. We show how to optimize the minimum distance of an entanglement-assisted quantum error-correcting (EAQEC) code, obtained by adding ebits to a standard quantum error-correcting code, over different encoding operators. By this encoding optimization procedure, we found several new EAQEC codes, including a family of [[n, 1, n; n-1]] EAQEC codes for n odd and code parameters [[7, 1, 5; 2]], [[7, 1, 5; 3]], [[9, 1, 7; 4]], [[9, 1, 7; 5]], which saturate the quantum singleton bound for EAQEC codes. A random search algorithm for the encoding optimization procedure is also proposed.
Cite
@article{arxiv.1008.2598,
title = {Entanglement Increases the Error-Correcting Ability of Quantum Error-Correcting Codes},
author = {Ching-Yi Lai and Todd Brun},
journal= {arXiv preprint arXiv:1008.2598},
year = {2013}
}
Comments
39 pages, 10 tables