Analysis of quantum error correction with symmetric hypergraph states
Quantum Physics
2018-02-26 v4
Abstract
Graph states have been used to construct quantum error correction codes for independent errors. Hypergraph states generalize graph states, and symmetric hypergraph states have been shown to allow for the correction of correlated errors. In this paper, it is shown that symmetric hypergraph states are not useful for the correction of independent errors, at least for up to 30 qubits. Furthermore, error correction for error models with protected qubits is explored. A class of known graph codes for this scenario is generalized to hypergraph codes.
Cite
@article{arxiv.1711.00295,
title = {Analysis of quantum error correction with symmetric hypergraph states},
author = {Thomas Wagner and Hermann Kampermann and Dagmar Bruß},
journal= {arXiv preprint arXiv:1711.00295},
year = {2018}
}
Comments
18 pages, 2 figures; corrected number of figures; 16.02.2018: removed minor inconsistencies in font choice, added supplemental files 23.02.2018: added journal ref