We simulate four quantum error correcting codes under error models inspired by realistic noise sources in near-term ion trap quantum computers: T2 dephasing, gate overrotation, and crosstalk. We use this data to find preferred codes for given error parameters along with logical error biases and a pseudothreshold which compares the physical and logical gate failure rates for a CNOT gate. Using these results we conclude that Bacon-Shor-13 is the most promising near term candidate as long as the impact of crosstalk can be mitigated through other means.
@article{arxiv.1910.08495,
title = {Logical Performance of 9 Qubit Compass Codes in Ion Traps with Crosstalk Errors},
author = {Dripto M. Debroy and Muyuan Li and Shilin Huang and Kenneth R. Brown},
journal= {arXiv preprint arXiv:1910.08495},
year = {2020}
}