We propose to construct large quantum graph codes by means of superconducting circuits working at the ultrastrong coupling regime. In this physical scenario, we are able to create a cluster state between any pair of qubits within a fraction of a nanosecond. To exemplify our proposal, creation of the five-qubit and Steane codes is numerically simulated. We also provide optimal operating conditions with which the graph codes can be realized with state-of-the-art superconducting technologies.
@article{arxiv.1409.7308,
title = {Creation of quantum error correcting codes in the ultrastrong coupling regime},
author = {T. H. Kyaw and D. A. Herrera-Martı and E. Solano and G. Romero and L. -C. Kwek},
journal= {arXiv preprint arXiv:1409.7308},
year = {2015}
}