Correction of Data and Syndrome Errors by Stabilizer Codes
Information Theory
2016-02-05 v1 math.IT
Quantum Physics
Abstract
Performing active quantum error correction to protect fragile quantum states highly depends on the correctness of error information--error syndromes. To obtain reliable error syndromes using imperfect physical circuits, we propose the idea of quantum data-syndrome (DS) codes that are capable of correcting both data qubits and syndrome bits errors. We study fundamental properties of quantum DS codes and provide several CSS-type code constructions of quantum DS codes.
Keywords
Cite
@article{arxiv.1602.01545,
title = {Correction of Data and Syndrome Errors by Stabilizer Codes},
author = {Alexei Ashikhmin and Ching-Yi Lai and Todd Brun},
journal= {arXiv preprint arXiv:1602.01545},
year = {2016}
}
Comments
2 figures. This is a short version of our full paper (in preparation)