  We simulate four quantum error correcting codes under error models inspired
by realistic noise sources in near-term ion trap quantum computers: $T_2$
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.
